L-T-P-D-C (1-0-2-0-0)

Pre-requisite - None

**Course Contents:** History of aviation, spaceflight. Aerodynamic shape, generation of forces. Aerodynamics of airfoils. Atmosphere. Performance, stability & control. Structural layout. Power plants. Instruments & navigational aids. Materials. Aircraft systems. Missiles, spaceships, helicopters, airships & hovercrafts. Trips to wind tunnel facilities, flight, structural, propulsion and high speed aerodynamic laboratories together with demonstrative experiments.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-5)

Pre-requisite - None

**Course Contents:** Fixed wing vehicles: History of Aviation, introduction to fixed wing vehicles, configuration and layout, propulsion, lift generation mechanism, balance of forces and moments, control mechanisms (10 hr)Rotary wing vehicles: History of rotary wing vehicles, configuration and layout, propulsion, lift generation mechanism, balance of forces and moments, control mechanisms (6 hr)Space Vehicles: History, configuration and layout, propulsion, lift generation mechanism, balance of forces and moments, navigation. (4 hr) Demo. Flights in motorized gliders

**References/Text Books:**

- Introduction to Flight: J.D. Anderson, Jr., McGraw-Hill International Editions.

L-T-P-D-C (3-0-0-1-4)

Pre-requisite - None

**Course Contents:** Introduction to aerodynamics Atmosphere (lSA) and its stability Continuum hypothesis, dynamic similarity, Aero foil nomenclature, forces and moments Incompressible irrotational flow, Complex potential, Singularities and superposition, Blasius theorem, Method of images Circulation, Robins Magnus effect and Kutta .Joukowski theoremConformal Mapping and Joukowski air foil. Kelvin's circulation theorem Thin Air foil theory Helmholtz theorems, Finite wing theory Computational methods; Panel and vortex lattice methods Low aspect ratio wings and slender body theory Viscous flows: Introduction to NS equationsPrandtl boundary layer equations, Similarity solutions. Integral approach Introduction to transition 8< turbulence. Turbulent boundary layer

**References/Text Books:**

- Aerodynamics for Engineering Students by E.L. Houghton, P.W. Carpenter
- Physical Fluid Dynamics by D.J. Tritton, Oxford Science Publication.
- An Introduction to Fluid Dynamics by G.K. Batchelor, Cambridge University Press.
- An Introduction to Theoretical and Computational Aerodynamics by Jack Moran, Dover.

L-T-P-D-C (3-1-0-0-11)

Pre-requisite - ESO204A/ME231A

**Course Contents:** Introduction to aerodynamics 1Atmosphere (ISA) and its stability 2Continuum hypothesis, dynamic similarity, 2Aerofoil nomenclature, forces and moments 1Incompressible irrotational flow, Complex potential, Singularities and superposition, Blasius theorem, Method of images5Circulation, Robins Magnus effect and Kutta Joukowski theorem (2 HRS)Conformal Mapping and Joukowski air foil, Kelvins circulation theorem (3 HRS)Thin Air foil theory (3 HRS)Helmholtz theorems, Finite wing theory (5 HRS)Computational methods; Panel and vortex lattice methods (3 HRS)Low aspect ratio wings and slender body theory (3 HRS)Viscous flows: Introduction to NS equations (2 HRS)Prandtl boundary layer equations, Similarity solutions. Integral approach (4 HRS)Introduction to transition & turbulence. Turbulent boundary layer (4 HRS)

**References/Text Books:**

- Aerodynamics for Engineering Students by E.L. Houghton, P.W. Carpenter
- Physical Fluid Dynamics by D.J. Tritton, Oxford Science Publication.
- An Introduction to Fluid Dynamics by G.K. Batchelor, Cambridge University Press.
- An Introduction to Theoretical and Computational Aerodynamics by Jack Moran, Dover.

L-T-P-D-C (2-0-0-0-2)

Pre-requisite - None

**Course Contents:** Introduction: Particle dynamics 4Rigid body dynamics: Planar and three-dimensional 12Theory of vibrations: Single degree of freedom, multi degree of freedom systems; free and forced vibrations; modal analysis; Eigen system analysis; 18response for general excitation; types of damping, proportional damping Principle of virtual work 2Hamilton's Principle; Lagrange's equation 4

**References/Text Books:**

- Engineering Mechanics: Dynamics (Fifth Edition): J.L. Meriam and L.G. Kraige,John Wiley and Sons.
- Elements of vibration analysis: L. Meirovitch, McGraw-Hill International Editions
- Theory of vibration with applications: W.T. Thomson and M.D. Dalleh, Prentice Hall
- Mechanical Vibrations: SS Rao, Pearson Education.

L-T-P-D-C (3-0-0-1-4)

Pre-requisite - None

**Course Contents:** Static equilibrium, determinate and indeterminate structures, static stability concepts, planar and space trusses. Beams bending & extension, stress resultants, modulus weighted section properties, bending shear stresses solid and open section. Idealization of stiffened shells. Shear centre, shear flow in thin walled multi cell box beams, effect of taper. Tasian of then walled Section Work and energy principles, strain energy and complementary strain energy, potential and complementary potential theorems, unit load method, reciprocal theorem. Application of energy principles for analysis of determinate and indeterminate structures.

**References/Text Books:**

L-T-P-D-C (2-0-2-0-8)

Pre-requisite - None

**Course Contents:** Content Principles of measurement Introduction Description of Measuring Instruments Performance Characteristics of Instruments, Calibration, Accuracy, Precision, Bias, Dynamic response Virtual Instrumentation and Data acquisition Introduction to VI Graphical programming using LAB View: Vis and sub Vis, loops, arrays, clusters, file I/O Data acquisition: ADC, DAC, DIO, serial and GPIB communication Motion control system Sensors Strain Gage Motion Force, Torque, Power Pressure and Sound Temperature and Heat Flux Flow Error analysis and data reduction Uncertainties in measurements Probability distributions Propagation of errors Estimates of Mean and Errors Curve fits Advanced Optical Measurements (PIV,LDV,etc.)

**References/Text Books:**

- Measurement Systems Application and Design, E. O. Doebelin
- Data Reduction and Error Analysis for Physical Sciences, P. R. Bevington and D. K.Robinson.
- Experimental Stress Analysis, James W. Dally, William F. Riley
- Mechanical Behavior of Materials, Norman E. Dowling

L-T-P-D-C (3-1-0--4)

Pre-requisite - ESO212

**Course Contents:** Review of thermodynamics Governing equations of compressible flow Isentropic flow. Area Mach number relation .Speed of sound, Mach cone, Flow regimes in terms of Mach number Stationary and moving normal shock, Rankine Hugoniot relations. Oblique shock, Prandtl Meyer expansion Reflection, intersection of shocks and expansion waves Converging diverging nozzle, supersonic wind tunnel1D unsteady flow: Riemann problem Method of characteristics Small perturbations applied to, subsonic & supersonic air foils, slender bodies. Similarity rules and area rule Curved shock and Crocco's Theorem Shock Boundary layer interaction Transonic small perturbation (TSP) equations Transonic full potential equations Rayleigh & Fanno flow Experimental techniques Introduction to hypersonic

**References/Text Books:**

- Elements of gas dynamics: Leipmann and Roshko, John Wiley and Sons.
- The dynamics and thermodynamics of compressible flows: A. H Shapiro, John Wileyand Sons.

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - ESO201A ESO204A

**Course Contents:** Review of thermodynamics (2HRS) Governing equations of compressible flow (2HRS) Isentropic flow, Area Mach number relation (3 HRS) Speed of sound, Mach cone, Flow regimes in terms of Mach number (1 HRS) Stationary and moving normal shock, Rankine Hugoniot relations (2 HRS) Oblique shock, Prandtl Meyer expansion (3 HRS) Reflection, intersection of shocks and expansion waves (2 HRS) Converging diverging nozzle, supersonic wind tunnel (2 HRS) 1D unsteady flow: Riemann problem (2 HRS) Method of characteristics (2 HRS) Small perturbations applied to, subsonic & supersonic airfoils, slender bodies. (3 HRS) Similarity rules and area rule (2 HRS) Curved shock and Croccos Theorem (1 HRS) Shock Boundary layer interaction (1 HRS) Transonic small perturbation (TSP) equations (2 HRS) Transonic full potential equations (2 HRS) Rayleigh & Fanno flow (2 HRS) Experimental techniques (2 HRS) Introduction to hypersonics (2 HRS)

**References/Text Books:**

- Elements of gasdynamics: Leipmann and Roshko, John Wiley and Sons.
- The dynamics and thermodynamics of compressible flows: A. H Shapiro, John Wileyand Sons.

L-T-P-D-C (3-0-0-1-4)

Pre-requisite - None

**Course Contents:** Dynamics & thermodynamics of 1D flow, isentropic flow,1D wave: normal shock, central expansion. Supersonics, oblique shock, 2D steady flows: reflection, intersection; Prandtl Meyer flow. Method of characteristics. Small perturbations applied to, subsonic & supersonic air foils, slender body. Similarity rules. Transonic area rule. Hypersonics; similitude, high temp and rarefaction.

**References/Text Books:**

L-T-P-D-C (3-0-0-1-4)

Pre-requisite - None

**Course Contents:** Standard atmosphere Definition of altitude, relation between geopotential and geometric altitudes, pressure, temperature, density altitudes 1Airfoil nomenclature, Air foil data, infinite vs finite wings, critical Mach number, drag divergence Mach number, wave drag, swept wings. Aerodynamic properties of wings and components '3Airplane drag estimation for subsonic and supersonic flight regime for fuselage, wings, tail and other components of aircraft 3Flaps mechanism of high lift, estimation of CL, CD, CLICD, for different flaps at various configurations.2Aircraft power plants 4Introduction to drag polar, equations of motion, thrust required for level and unaccelerated flight, thrust available and maximum velocity, power required for level and unaccelerated flight, power available and maximum velocity (reciprocating engine propeller combination, jet engine), altitude effects on power required and available. Rate of climb, gliding flight, absolute and service ceiling, time to climb, range and endurance propeller driven airplane, range and endurance jet air plane, take-off and landing performance, turning flight and the Vn diagram, accelerated rate of climb (energy method),special consideration for supersonic airplane20Optimal performance of airplanes 5Introduction to performance estimation of fixed wing Unmanned aerial Vehicles2

**References/Text Books:**

- Introduction to Flight: J.D. Anderson, McGraw Hill International Editions.
- Miele, A., Flight Mechanics Theory of Flight Paths, Vol.l,AddisonWesley, Reading, MA.
- Tewari, A., Atmospheric and Space Flight Dynamics, Birkhauser,Boston, 20064.
- Mechanics of Flight: Warren F. Phillips. John Wiley and Sons, Inc

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Standard atmosphere Definition of altitude, relation between geopotential and geometric altitudes, pressure, temperature, density altitudes Air foil nomenclature, Air foil data, infinite vs finite wings, critical Mach number, drag divergence Mach number, wave drag, sweptwings. Aerodynamic properties of wings and components Airplane drag estimation for subsonic and supersonic flight regime for fuselage, wings, tail and other components of aircraft Flaps mechanism of high lift, estimation of CL, CD, CL/CD, for different flaps at various configurations. Aircraft power plants Introduction to drag polar, equations of motion, thrust required for level and unaccelerated flight, thrust available and maximum velocity, power required for level and unaccelerated flight, power available and maximum velocity (reciprocating engine propeller combination, jet engine), altitude effects on power required and available. Rate of climb, gliding flight, absolute and service ceiling, time to climb, range and endurance propeller driven airplane, range and endurance jet airplane, take off and landing performance, turning flight and the Vn diagram, accelerated rate of climb (energy method), special consideration for supersonic airplane Optimal performance of airplanes Introduction to performance estimation of fixed wing Unmanned aerial Vehicles

**References/Text Books:**

- Introduction to Flight: J.D. Anderson, McGraw Hill International Editions.
- Miele, A., Flight Mechanics Theory of Flight Paths, Vol.I,AddisonWesley, Reading, MA.
- Tewari, A., Atmospheric and Space Flight Dynamics, Birkhauser,Boston, 2006
- Mechanics of Flight: Warren F. Phillips. John Wiley and Sons, Inc

L-T-P-D-C (1-0-3-0-3)

Pre-requisite - None

**Course Contents:** Definition of stability and control static stability and dynamic /stability. Moments on an airplane. Definition of pitch angle, flightpath angle and angle of attack. Criteria for longitudinal and staticstability.2Aerodynamic model (lollgitudinal mode), Longitudinal static stability and control, contribution of the wing, tai fuselage to total moment about CG of aircraft. Equations of longitudinal static stability. Calculation of elevator angle to trim in stick fixed vs stick free longitudinal static stability, estimation of neutral point(both stick fixed and stick free), estimation of static margin, estimation of maneuvering point (both stick fixed and stick free).12Directional static stability, lateral static stability, estimation of static margin, estimation of trim condition 6Equations of airplane motion 3Concept of stability and control derivatives 5Longitudinal and lateral directional dynamic modes 5Airplane response to controls 4Introduction to flying qualities and stability augmentation systems3

**References/Text Books:**

- Flight Stability and Automatic Control: R. Nelson, McGraw Hill Education
- Introduction to Flight: J.D. Anderson, McGraw Hill International Editions
- Elkin, B., Dynamics of Flight: Stability and Control, 3rd ed., Wiley, New York, 19954. Mechanics of Flight: Warren F. Phillips. John Wiley and Sons, Inc

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - AE321A

**Course Contents:** Definition of stability and control static stability and dynamic stability. Moments on an airplane. Definition of pitch angle, flightpath angle and angle of attack. Criteria for longitudinal and static stability .Aerodynamic model (longitudinal mode), Longitudinal static stability and control, contribution of the wing, tail, fuselage to total moment about CG of aircraft. Equations of longitudinal static stability. Calculation of elevator angle to trim in stick fixed vsstick free longitudinal static stability, estimation of neutral point(both stick fixed and stick free), estimation of static margin, estimation of maneuvering point (both stick fixed and stick free).

Directional static stability, lateral static stability, estimation of static margin, estimation of trim condition Equations of airplane motion Concept of stability and control derivatives Longitudinal and lateral directional dynamic modes Airplane response to controls Introduction to flying qualities and stability augmentation system

**References/Text Books:**

- Flight Stability and Automatic Control: R. Nelson, McGraw Hill Education
- Introduction to Flight: J.D. Anderson, McGraw Hill International Editions
- Etkin, B., Dynamics of Flight: Stability and Control, 3rd ed., Wiley, New York, 1995
- Mechanics of Flight: Warren F. Phillips. John Wiley and Sons, Inc

L-T-P-D-C (1-0-3-0-3)

Pre-requisite - None

**Course Contents:** Loads on an aircraft .2Elements of Linear Theory of Elasticity4Idealization of Aerospace Structure '1Stress Resultant2Extensionbending of nonhomogeneous EulerBernoulli4Bending shear stress (open closed solid)2St. Venant torsion of arbitrary crosssection3Shear flow2Thin Walled beams: Single celled and multi celled box beams.5Shear centre for open and closed section4Tapered beams2BeamColumn Euler Buckling5Principle of virtual work4

**References/Text Books:**

- Theory and analysis of flight structures: R.M. Rivello. No. oflectures
- Aircraft Structures for Engineering Students (Fourth edition): T.H.G. Megson, Elsevier Aerospace Engineering Series.
- Analysis of Aircraft Structures (second edition): B.K. Donaldson, Cambridge Aerospace Series.

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - ESO202A

**Course Contents:** Loads on an aircraft (2 HR)Elements of Linear Theory of Elasticity (4 HR)Idealization of Aerospace Structure (1 HR)Stress Resultant (2 HR)Extension bending of nonhomogeneous Euler Bernoulli ( 4 HR) Bending shear stress (open closed solid) (2 HR) St. Venant torsion of arbitrary cross section (3 HR) Shear flow (2 HR) Thin Walled beams: Single celled and multi celled box beams. (5HR) Shear centre for open and closed section (4 HR) Tapered beams (2 HRS) Beam Column Euler Buckling (5 HRS)Principle of virtual work (4 HRS)

**References/Text Books:**

- Theory and analysis of flight structures: R.M. Rivello.
- Aircraft Structures for Engineering Students (Fourth edition): T.H.G. Megson, Elsevier Aerospace Engineering Series.
- Analysis of Aircraft Structures (second edition): B.K. Donaldson, Cambridge Aerospace Series.

L-T-P-D-C (0-0-2-0-2)

Pre-requisite - None

**Course Contents:** Buckling of columns. Differential equation approach, energy approach, approximate techniques. Beam columns. Buckling strength of flat sheets in compression, combined stress. Local buckling of composite shapes. Buckling of sheet stiffener combination.

**References/Text Books:**

L-T-P-D-C (0-0-2-0-2)

Pre-requisite - None

**Course Contents:** Buckling of columns. Differential equation approach, energy approach, approximate techniques. Beam columns. Buckling strength of flat sheets in compression, combined stress. Local buckling of composite shapes. Buckling of sheet stiffener combination.

**References/Text Books:**

L-T-P-D-C (3-0-0-1-4)

Pre-requisite - None

**Course Contents:** Introduction 2 Principle of Propulsion Air breathing and Rocket Propulsion*Reading assignment and Home work on Basic Fluid Mechanics, Thermodynamics and Compressible Flows should be given Aero Thermodynamics of Gas Turbine Engines 5 Introduction Type of Airbreathing jet engines Performance of Gas Turbine Engines (fhrust, efficiency, range)Cycle Analysis of Airbreathing Jet Engines (Ideal and Aetna! Cycles) 12 Ramjet Turbojet Turbofan Turboprop Turbo shaft Air Intakes 3Rocket Propulsion 6 Introduction Single and multi Stage Rockets Performance of Chemical Rockets . 10 Principle of Combustion Estimation of Adiabatic Flame Temperature Thrust Coefficient Characteristic Velocity Types of Nozzles and Efficiencies Gas Turbine Combustors and Afterburners 2

**References/Text Books:**

- Mechanics and Thermodynamics of Propulsion, P. Hill and C. Peterson
- Gas Turbine Theory, H. Cohen, G. F. C. Rogers, H. I. H. Saravanamuttoo
- Jet Propulsion, N. Cumpsty
- Rocket Propulsion Elements, G. P. Sutton and D. M. Ross
- Modern Compressible Flow, J. D. Anderson, McGraw Hill
- Fundamentals of Combustion, D.P. Mishra, Prentice Hall of lndia, New Delhi, revised edition, 2010.
- Gas Turbine Propulsion, D.P. Mishra, Annamaya Publisher, New Delhi 20 II

L-T-P-D-C (3-0-0-2-11)

Pre-requisite - AE311A

**Course Contents:** Introduction Principle of Propulsion Air breathing and Rocket Propulsion*Reading assignment and Home work on Basic Fluid Mechanics, Thermodynamics and Compressible Flows should be given//Aero Thermodynamics of Gas Turbine Engines Introduction Type of Airbreathing jet engines Performance of Gas Turbine Engines (Thrust, efficiency, range)//Cycle Analysis of Airbreathing Jet Engines (Ideal and Actual Cycles) Ramjet Turbojet Turbofan Turboprop Turboshaft//Air Intakes //Rocket Propulsion Introduction Single and multi Stage Rockets//Performance of Chemical Rockets Principle of Combustion Estimation of Adiabatic Flame Temperature Thrust Coefficient Characteristic Velocity Types of Nozzles and Efficiencies//Gas Turbine Combustors and Afterburners //

**References/Text Books:**

- Mechanics and Thermodynamics of Propulsion, P. Hill and C. Peterson
- Gas Turbine Theory, H. Cohen,F. C. Rogers, H. I. H. Saravanamuttoo
- Jet Propulsion, N. Cumpsty
- Rocket Propulsion Elements, G. P. Sutton and D. M. Ross
- Modern Compressible Flow, J. D. Anderson, McGraw Hill
- Fundamentals of Combustion, D.P. Mishra, Prentice Hall of India, New Delhi, revisededition, 2010.
- Gas Turbine Propulsion,D.P. Mishra, Annamaya Publisher, New Delhi 2011

L-T-P-D-C (3-0-3-1-5)

Pre-requisite - None

**Course Contents :**Elements of combustion: adiabatic flame temperature, flammability and stability limits. Gas turbine combustors & afterburners. Nozzles types & non ideal flows, Chemical rockets: Rocket vehicle mechanics, multistaging, propellants, heat transfer and cooling. Rocket ramjet. Measurements of volumetric flow rate, speed, torque, power and temperature. Experiments on axial compressor unit, gas turbine unit, and continuous combustion unit, cascades and curved diffuser.

**References/Text Books :**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Attitude dynamics and stability of three axis stabilized, single spin, dual spin, and multi body spacecraft with a1ticulated antennas, sensors, and solar arrays. Design of control of three axis stabilized spacecraft in orbit using reaction wheels, thrusters, magnets, single and double gimbaled control moment gyros Large angle three axis attitude maneuver controllers using reaction wheels and thrusters Control of spinning spacecraft in transfer orbit during delta_ v firing and in operational orbits around the Earth, and design of active nutation control Attitude stabilization of bias momentum spacecraft using magnets and thrusters Dynamics and control of dual spin spacecraft Precision pointing and tracking controllers for tracking landmarks, moving objects, and other satellites for crosslink communication Solar array controllers for tracking the Sun; determining the array's orientation with sun sensors Modeling of dynamics of flexible solar arrays, its interaction with spacecraft dynamics and control systems Attitude determination with gyros, star trackers, sun sensors, and horizon sensors using algorithms such as TRIAD and QUEST (quaternion estimator); sensors error characteristics; and Kalman filtering Guidance and navigation for spacecraft rendezvous The above control techniques will be related with the control of Indian communication, remote sensing, and other special purpose satellites (Ca1tosat, Edusat, telemedicine).

**References/Text Books:**

Course Reference :

- Hughes, P.C., Spacecraft Attitude Dynamics, John Wiley, 1986.
- Sidi, M.J., Spacecraft Dynamics and Control, Cambridge University Press, 1997
- Noton, M., Spacecraft Navigation and Guidance, Springer 1998
- Kaplan, M.H., Modern Spacecraft Dynamics and Control, John Wiley, 1976
- Agrawal, B., Design of Geosynchronous Spacecraft, Prentice Hall, 1986
- Bryson, A.E., Control of Spacecraft and Aircraft, Princeton University Press, 1994
- Pocha, J.J., An Introduction to Mission Design for Geostationary Satellites, D. Reidel,1987
- Mara[, G., and Bousquet, M., Satellite Communications Systems, Fourth Edition, JohnWiley, 2006.
- Wie, B., Space Vehicle Dynamics and Control, AIAA Education Series, 1998

L-T-P-D-C (0-0-4-1-5)

Pre-requisite - AE251A

**Course content:** Dimensional analysis, Wind tunnels, Basic Experiments with different sensors, Material characterization, Flow Visualization. About 12 experiments will be conducted in the course. The breakup of the experiments will be as follows: Aerospace Structures: 4 Low Speed Aerodynamics: 4 Aerospace Propulsion: 2 High speed Aerodynamics: 2List of Experiments: Aerospace Structures:1. Bending of beams2. Shear centre estimation3. Estimation of Principal Axes4. Torsion5. UTM (static tests) Low Speed Aerodynamics:1. Laser light flow visualization2. Smoke flow visualization3. Hot wire anemometry (calibration + test)4. Force balance calibration5. Calibration of low speed tunnel6. Flow past air foil/circular cylinder Cp distribution. Aerospace Propulsion:1. Calibration and use of pressure sensors2. Calibration and use of thermocouples High Speed Aerodynamics:1. Schlieren + shadowgraphy2. Estimation of Mach number from static pressure measurement in supersonic tunnel

**References/Text Books:**

- Measurement Systems Application and Design, E. O. Doebelin
- Data Reduction and Error Analysis for Physical Sciences, P. R. Bevington and D. K.Robinson.
- Experimental Stress Analysis, James W. Dally, William F. Riley
- Mechanical Behavior of Materials, Norman E. Dowling

L-T-P-D-C (0-0-3-0-2)

Pre-requisite - None

**Course Contents:** Design and fabrication of aero models/components; Balsa, Styrofoam, wood, parchment, composites based model making; model upgradation; design, fabrication and testing of components; use of flight simulator, RC devices.40

**References/Text Books:**

L-T-P-D-C (0-0-3-0-3)

Pre-requisite - None

**Course Contents:** Design and fabrication of aero models/components; Balsa, Styrofoam, wood, parchment, composites based model making; model upgradation; design, fabrication and testing of components; use of flight simulator, RC devices.( 40 hr)

**References/Text Books:**

- Introduction to Flight: J.D. Anderson, Jr., McGraw-Hill International Editions.
- Handouts.
- Internet resources.

L-T-P-D-C (0-0-0-0-4)

Pre-requisite - None

**Course Contents:** UG PROJECT (UGPI)

**References/Text Books:**

L-T-P-D-C (0-0-2-2-2)

Pre-requisite - None

**Course Contents:** Selection of topic of research or review; development of presentation material; preparation of technical report; technical presentations

**References/Text Books:**

L-T-P-D-C (2-0-3-0-4)

Pre-requisite - None

**Course Contents:** Experiments and model testing. Similiude, flow visualization, low and high speed tunnels: features & performance. Balances, Measurements; flow velocity: hotwire, laser doppler, pressure, temperature. Lab work: Set of experiments

**References/Text Books:**

L-T-P-D-C (1-0-2-0-3)

Pre-requisite - None

**Course Contents:** Introduction to flight testing and instrumentation 1Techniques and data reduction methods, Error analysis 2Calibration of flight and special flight test instruments 1Evaluation of cruise and climb performance of a small airolane 1Determination of static and maneuver stability and control characteristics 1Observations of airplane dynamic modes and stall characteristics1Introduction to flight testing and instrumentation 3Techniaues and data reduction methods, Error analysis 6Calibration of flight and special flight test instruments 3Evaluation of cruise and climb performance of a small airplane 3Determination of static and maneuver stability and control characteristics 3Observations of airplane dynamic modes and stall characteristics 3

**References/Text Books:**

L-T-P-D-C (1-0-2-0-2)

Pre-requisite - None

**Course Contents:** Introduction to flight testing, instrumentation, techniques and data reduction methods, calibration of flight and special flight test instruments. Evaluation of glider drag polar. Evaluation of cruise and climb performance of a small airplane. Determination of static and maneuvre stability and control characteristics. Observations of airplane dynamic modes and stall characteristics. Introduction to GPS based navigation. Introduction to autopilot.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-5)

Pre-requisite - AE311A

**Course Contents:** Introduction to Turbomachinery Types of Turbomachinery Conservation of Angular Momentum Centrifugal Compressors Principle of operation Stage dynamics and Cascade Efficiency and Losses Compressor Characteristics Rotating Stall and Surge Axial Compressors Principle of operation Stage dynamics Multistaging Radial Equilibrium Efficiency and Characteristics Axial Turbines Elementary Theory Stage dynamics Efficiency and losses Blade cooling Compressor Turbine matching

**References/Text Books:**

- Mechanics and Thermodynamics of Propulsion, P. Hill and C. Peterson
- Gas Turbine Theory, H. Cohen, G. F. C. Rogers, H. I. H. Saravanamuttoo
- Fluid Mechanics and Thermodynamics of Turbomachinery, S. L. Dixon
- Modern Compressible Flow, J. D. Anderson, McGraw Hill
- Gas Turbine Propulsion, D.P. Mishra, Annamaya Publisher, New Delhi 2011.

L-T-P-D-C (0-0-2-0-2)

Pre-requisite - None

**Course Contents:** List of Experiments: Low Speed Aerodynamics Lab:1. Turbulence measurement'2.0 Boundary Layer. measurement3. Aerodynamic characterization of a model aircraft High Speed Aerodynamics Lab:1. Characterization of supersonic jets2. Forces and moments on a projectile at supersonic speeds Structures Lab: I. Experiments in photoelasticity2. Experiments in vibration3. Dynamic characterization of elastomeric materials4. Inertia measurement Propulsion Lab: I. Characterization of intake2. Experiments in compressor/turbine cascades3. Performance analysis of2stage axial fan4. Performance of gas turbine engine5. Experiments in continuous combustion unit

**References/Text Books:**

- Measurement Systems Application and Design, E. 0. Doebelin
- Data Reduction and Error Analysis for Physical Sciences, P. R. Bevington and D. K.Robinson.
- Experimental Stress Analysis, James W. Dally, William F. Riley Mechanical Behavior of Materials, Norman E. Dowling

L-T-P-D-C (0-0-3-2-5)

Pre-requisite - AE351A

**Course Contents:** List of Experiments: Low Speed Aerodynamics Lab:1. Turbulence measurement'2.0 Boundary Layer. measurement3. Aerodynamic characterization of a model aircraft High Speed Aerodynamics Lab:1. Characterization of supersonic jets2. Forces and moments on a projectile at supersonic speeds Structures Lab: I. Experiments in photoelasticity2. Experiments in vibration3. Dynamic characterization of elastomeric materials4. Inertia measurement Propulsion Lab: I. Characterization of intake2. Experiments in compressor/turbine cascades3. Performance analysis of2stage axial fan4. Performance of gas turbine engine5. Experiments in continuous combustion unit

**References/Text Books:**

- Measurement Systems Application and Design, E. 0. Doebelin
- Data Reduction and Error Analysis for Physical Sciences, P. R. Bevington and D. K.Robinson.
- Experimental Stress Analysis, James W. Dally, William F. Riley
- Mechanical Behavior of Materials, Norman E. Dowling

L-T-P-D-C (2-0-4-0-5)

Pre-requisite - None

**Course Contents:** Conceptual design based on preliminary mission requirements Survey of existing vehicular configurations (in similar category); lofting(preliminary layout sketches); preliminary weight estimation Selection of wing loading; thrust loading; wing section and planform Fuselage layout and weight balance. Estimation of aerodynamic characteristics and performance evaluation Design of tail areas and control surfaces Estimation of span wise load distributions on wing and tail TOTAL LABORATORY OF THE COURSE Conceptual design based on preliminary mission requirements; survey of existing vehicular configurations (in similar category); lofting (preliminary layout sketches); preliminary weight estimation; selection of wing loading; thrust loading; wing section and planform; fuselage layout and weight balance; estimation of aerodynamic characteristics and performance evaluation; design of tail areas and control surfaces; estimation of spanwise load distributions on wing and tail.

**References/Text Books:**

Aircraft Design: A Conceptual Approach, D. Raymer (4th Ed.), AIAA Press, 2006.

L-T-P-D-C (1-0-2-2-7)

Pre-requisite - None

**Course Contents:** Conceptual design based on preliminary mission requirements Survey of existing vehicular configurations (in similar category); lofting(preliminary layout sketches); preliminary weight estimation Selection of wing loading; thrust loading; wing section and planform Fuselage layout and weight balance. Estimation of aerodynamic characteristics and performance evaluation Design of tail areas and control surfaces Estimation of span wise load distributions on wing and tail TOTAL LABORATORY OF THE COURSE Conceptual design based on preliminary mission requirements; survey of existing vehicular configurations (in similar category); lofting (preliminary layout sketches); preliminary weight estimation; selection of wing loading; thrust loading; wing section and planform; fuselage layout and weight balance; estimation of aerodynamic characteristics and performance evaluation; design of tail areas and control surfaces; estimation of spanwise load distributions on wing and tail.

**References/Text Books:**

Aircraft Design: A Conceptual Approach, D. Raymer (4th Ed.), AIAA Press, 2006.

L-T-P-D-C (2-0-4-0-5)

Pre-requisite - None

**Course Contents:** Concepts of structural design; Vn diagram; airworthiness requirements Stress resultants for swept and unswept wings; application of modified beam theory Methods for wing stress analysis; yielding based design Buckling (of columns, panels and stiffened panels) based design of thin structures Rib spacing; sizing and preliminary layout of wing; margin of safety; advanced analysis (using FEM based commercial/open source software)for full wing. Total Laboratory component of the course: Topic Concepts of structural design; Vn diagram; airworthiness requirements; stress resultants for swept and unswept wings; application of modified beam theory; methods for wing stress analysis; yielding based design; buckling (of columns, panels and stiffened panels) based design of thin structures; ribs pacing; sizing and preliminary layout of wing; margin of safety; advanced analysis (using FEM based commercial/open source software) for full wing.

**References/Text Books:**

- Analysis and design of Flight Vehicle Structures: E.F. Bruhn
- Airframe Structural Design: M. Niu
- Aircraft Design: A Conceptual Approach, D. Raymer (4th Edition), AIAA Press,2006.

L-T-P-D-C (1-0-1-0-4)

Pre-requisite - None

**Course Contents:** Concepts of structural design; Vn diagram; airworthiness requirements Stress resultants for swept and unswept wings; application of modified beam theory Methods for wing stress analysis; yielding based design Buckling (of columns, panels and stiffened panels) based design of thin structures Rib spacing; sizing and preliminary layout of wing; margin of safety; advanced analysis (using FEM based commercial/open source software)for full wing. Total Laboratory component of the course: Topic Concepts of structural design; Vn diagram; airworthiness requirements; stress resultants for swept and unswept wings; application of modified beam theory; methods for wing stress analysis; yielding based design; buckling (of columns, panels and stiffened panels) based design of thin structures; rib spacing; sizing and preliminary layout of wing; margin of safety; advanced analysis (using FEM based commercial/open source software) for full wing.

**References/Text Books:**

- Analysis and design of Flight Vehicle Structures: E.F. Bruhn
- Airframe Structural Design: M. Niu
- Aircraft Design: A Conceptual Approach, D. Raymer (4th Edition), AIAA Press,2006.

L-T-P-D-C (0-0-0-0-2)

Pre-requisite - None

**Course Contents:** Registration for project with the selection of topic & getting started on the design, fabrication work, algorithm etc.

**References/Text Books:**

L-T-P-D-C (0-0-0-0-9)

Pre-requisite - None

**Course Contents:** Registration for project with the selection of topic & getting started on the design, fabrication work, algorithm etc.

**References/Text Books:**

L-T-P-D-C (0-0-0-0-4)

Pre-requisite - None

**Course Contents:** Continuation of the project work initiated as a part of project I and completion.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - ESO212

**Course Contents:** Conclusions from small BL thickness, BL eqns, exact & similar solns: Blasius, Howarth & Merk. Methods: continuation & integral conditions, Polhausen, Walz, Weighardt. Axisymm BL. Mangler transformation, elementary 3D BL., Transition, turb BL. Walz integral method. BL control.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - ESO204A

**Course Contents:** Conclusions from small BL thickness, BL eqns, exact & similar solns: Blasius, Howarth & Merk. Methods: continuation & integral conditions, Polhausen, Walz, Weighardt. Axisymm BL. Mangler transformation, elementary 3D BL., Transition, turb BL. Walz integral method. BL control.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** History of aviation. History of spaceflight. Earths atmosphere and gravitational field. Anatomy of Flight vehicles. Bluff bodies v/s streamlined body, air foil. Lift generation, significance of L/D ratio. Aerodynamic forces. Propulsion. Spacecrafts. Aircraft performance. Aerospace materials. Structural layout. Flight envelope and Vn diagrams. Instruments and navigational aids. Exposure to flight testing.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** History of aviation. History of spaceflight. Earths atmosphere and gravitational field. Anatomy of Flight vehicles. Bluff bodies v/s streamlined body, airfoil. Lift generation, significance of L/D ratio. Aerodynamic forces. Propulsion. Spacecrafts. Aircraft performance. Aerospace materials. Structural layout. Flight envelope and Vn diagrams. Instruments and navigational aids. Exposure to flight testing.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Matrices, determinants, vector spaces, linear transformation, eigensystems, linear equations, introduction to ordinary differential equations, homogeneous linear equations of second order, nonhomogeneous linear equations of second order, free and forced oscillation problems, problems with variable coefficients, systems of equations, Fourier series, Fourier transform, Laplace transform, introduction to differencing methods; basic concepts of partial differential equations, classification of second order equations, wave propagation in one dimension, parabolic equations, higher dimensional problems, Laplace equation, series solutions, transform methods, elements of complex variables.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** differential equations, homogeneous linear equations of second order, nonhomogeneous linear equations of second order, free and forced oscillation problems, problems with variable coefficients, systems of equations, Fourier series, Fourier transform, Laplace transform, introduction to differencing methods; basic concepts of partial differential equations, classification of second order equations, wave propagation in one dimension, parabolic equations, higher dimensional problems, Laplace equation, series solutions, transform methods, elements of complex variables.

**References/Text Books:**

L-T-P-D-C (2-0-1-0-4)

Pre-requisite - None

**Course Contents:** Basics of Computing & Discretization, Errors: Different types of error, Interpolation and extrapolation, Root finding: Polynomials; Newton Raphson Method, Secant Method, ODE and their computations, Stiff ODEs & parasitic error, Solution of IVP (ODE), Linear Algebra & BVP(ODE), Solution of Linear System, Finding eigenvalue/eigenvector

**References/Text Books:**

- Computational Fluid Dynamics : Charles Hirsch, Wiley, Chichester, U.K. (1990)
- Computational Fluid Dynamics and heat transfer: J.C. Tannehill, D.A. Anderson and R.H. Fletcher, Taylor and Francis (1997)
- Numerical Recipes in Fortran 77, W.H. Press, S. Teukolsky, W, Vetterling and B. Flannery, Cambridge Univ. Press (1992)
- Foundation of CFD : Tapan K. Sengupta, University Press Hyderabad, India (2009).

L-T-P-D-C (2-0-1-0-7)

Pre-requisite - None

**Course Contents:** Basics of Computing & Discretization, Errors: Different types of error, Interpolation and extrapolation, Root finding: Polynomials; Newton Raphson Method, Secant Method, ODE and their computations, Stiff ODEs & parasitic error, Solution of IVP (ODE), Linear Algebra & BVP(ODE), Solution of Linear System, Finding eigenvalue/eigenvector

**References/Text Books:**

- Computational Fluid Dynamics : Charles Hirsch, Wiley, Chichester, U.K. (1990)
- Computational Fluid Dynamics and heat transfer: J.C. Tannehill, D.A. Anderson and R.H. Fletcher, Taylor and Francis (1997)
- Numerical Recipes in Fortran 77, W.H. Press, S. Teukolsky, W, Vetterling and B. Flannery, Cambridge Univ. Press (1992)
- Foundation of CFD : Tapan K. Sengupta, University Press Hyderabad, India (2009).

L-T-P-D-C (3-0-1-0-5)

Pre-requisite - None

**Course Contents:** Basics of Governing Equations, Space-time discretization for PDE, Classification of PDE, Grid Generation, Waves and disturbances in fluid flow, Space-time scales in fluid flow, Classical methods for solving parabolic PDEs, Methods for solving elliptic PDEs, High accuracy methods, Time Discretization, Error analysis:DNS, LES, Solution of Navier Stokes equations.

**References/Text Books:**

- Computational Fluid Dynamics: C. Hirsch, Wiley ( 1998)
- Computational Fluid Flow and Heat Transfer, Tannehill, Anderson, Pletcher
- High Accuracy Computing Method: Fluid flow and wave phenomena: Tapan K. Sengupta, Cambridge University Press (2013)
- Foundation of CFD: Tapan K Sengupta, Universities Press, Hyderabad, India (2004).

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Basics of Governing Equations, Space-time discretization for PDE, Classification of PDE, Grid Generation, Waves and disturbances in fluid flow, Space-time scales in fluid flow, Classical methods for solving parabolic PDEs, Methods for solving elliptic PDEs, High accuracy methods, Time Discretization, Error analysis:DNS, LES, Solution of Navier Stokes equations,

**References/Text Books:**

- Computational Fluid Dynamics: C. Hirsch, Wiley (1998) Computational Fluid Flow and Heat Transfer, Tannehill, Anderson, Pletcher
- High Accuracy Computing Method: Fluid flow and wave phenomena: Tapan K. Sengupta, Cambridge University Press (2013)
- Foundation of CFD: Tapan K Sengupta, Universities Press, Hyderabad, India (2004)

L-T-P-D-C (3-0-1-0-5)

Pre-requisite - None

**Course Contents:** Issues of space time Resolution, Computing time averaged unsteady problem, Defference type of high Modeling RANS, URANS, LES, DES, DNS, Generalized transformation: Orthogonal/Non orthogonal grid, Chimera Technique, Basis of FDM, FVM, EEM, FDM and FVM: High accuracy methods

**References/Text Books:**

- Computational Fluid Dynamics : Charles Hirsch, Wiley, Chichester, U.K. (1990)
- Computational Fluid Dynamics and heat transfer: J.C. Tannehill, D.A. Anderson and R.H. Fletcher, Taylor and Francis (1997)
- Foundation of CFD : Tapan K. Sengupta, University Press Hyderabad, India (2009).

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Issues of space-time Resolution, Computing time averaged unsteady problem, Defference type of high Modelling RANS, URANS, LES, DES, DNS, Generalized transformation: Orthogonal/Nonorthogonal grid, Chimera Technique, Basis of FDM, FVM, EEM, FDM and FVM: High accuracy methods.

**References/Text Books:**

- Computational Fluid Dynamics : Charles Hirsch, Wiley, Chichester, U.K. (1990)
- Foundation of CFD : Tapan K. Sengupta, University Press Hyderabad, India (2009).

L-T-P-D-C (3-0-0-0-9)

Pre-requisite – AE 311A or equivalent

**Course Contents:** Non-steady gas dynamics is a one semester course covering fundamentals of dynamics of shock waves, expansion waves, and related discontinuities in gases, shock reflections, refractions, and intersections, real gas effects on shock wave propagation, shock structure, shock tube techniques, viscosity effects – shock-tube boundary layer, detonation waves.

**References/Text Books:**

- Physics of shock waves and high temperature hydrodynamic phenomenon, Zeldovich and Raizer, (Dover)
- Gas Dynamic Discontinuities, W.D. Hayes, (Princeton University Press)
- Compressible Fluid Dynamics, P.A. Thompson, (McGraw Hill)
- Supersonic flow and shock waves, Courant and Friedrichs (Interscience Publishers)

L-T-P-D-C (3-0-0-0-9)

Prerequisite – None

**Introduction:** Importance of Heat Transfer in Aerospace Applications, Different Modes of Heat Transfer, Governing Equations of Fluid Dynamics and Heat Transfer, Material and Transport Properties in Heat Transfer.

**Heat Conduction and Convection:** Steady and Transient Heat Conduction, Lumped Heat Capacitance Method, Natural Convection, External/Internal Forced Convection for Laminar and Turbulent Flows, Transport Properties of Gases at High Temperatures, Thermal Boundary Layers, High Speed Aerodynamic Heating

**Radiation:** Stefan-Boltzmann law, Spectral Energy Density, Spectral Absorptivity and Emissivity, Kirchoff's Law, Surface Radiation, Problems on Surface Radiation, Radiation Pressure, Radiation through Participating Media, Shock Layer Radiation, Equilibrium and Non- equilibrium Thermal Radiation, Bound-Bound Thermal Radiation (Including Rotational and Vibrational Transitions)

**Thermal Management of Aerospace Systems:** Active and Passive Heating/Cooling Mechanisms, Heat Sinks, Thermal Interface Materials, Radiative Cooling, Phase Change Materials, Heat Pipes, Film Cooling, Heat Exchangers (Recuperative and Regenerative Type)

**Thermal Protection System (TPS) Design and Analysis:** Different kinds of Insulation used in Aerospace Applications, Mechanisms of TPS (Ablative and Non-ablative), TPS for High-Speed Vehicles (missiles), TPS for Reentry Space Capsules, Design and One-dimensional Numerical Analysis of TPS

**Introduction to the Thermo-structural Aspects of High-Speed Vehicles:** Thermal Stresses, Structural Properties at Elevated Temperatures, Thermo-structural Design of Aerospace Systems

**Introduction to the Experimental Investigation of High-Speed Flows:** Shock Tunnel, Arc-jet Tunnel, Plasma Wind Tunnel

**Reference Books:**

- Heat Transfer, Alan J. Chapman, 4th Edition, The Macmillan Company, 1984.
- Fundamentals of Heat and Mass Transfer, Incropera, Devitt, Bergmann, Lavine, 6th Edition, Wiley India Pvt. Ltd., 2006.
- Thermal Radiation Heat Transfer, J.R. Howell, R. Siegel, M.P. Menguc, 5th Edition, 2010.
- Ablative Thermal protection Systems Modeling, Georges Duffa, AIAA Education Series, 2012.

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Basic fluid mechanics Navier stokes equation, vorticity kinematics, Basic potential flows viscous flows including boundary layer theory, turbulence(introduction)

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Basic fluid mechanics Navier stokes equation, vorticity kinematics, Basic potential flows viscous flows including boundary layer theory, turbulence(introduction)

**References/Text Books:**

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Introduction to measurement, Wind Tunnels and Water Tunnels, Flow visualization techniques, Measurement of Pressure and volume flow rate, Force Measurements, Temperature Measurements, Hotwire Measurements, Data Acquisition, Processing and uncertainty analysis, Static and dynamic response of measuring systems, PIV Measurements, Integral optical measurement techniques: Shadowgraph, Schlieren & Interferometers, LDV Measurements, LIF Measurements. Measurement of Wall Shear Stress

**References/Text Books:**

- Fluid Mechanics Measurement, by Richard J. Goldstein SpringerVerlng. 1983
- Experimental Methods for Engineers by J.P. Holman McGraw-Hill 2008
- Measurement in Fluid Mechanics by Stavros Tavoularis. Cambridge 2005
- Particle Image Velocimetry: A Practical Guide by M. Raffel, C. Willert & J.Kompenhans. Springer, 1998.
- Instrumentation, Measurements, and Experiments in Fluids, byE Rathakrishnan, CRCPress, 2007
- The Laser Doppler Technique, by L. E. Drain, John Wiley & Sons 1980.
- Hotwire anemometry, by Perry A. E. Oxford University Press, 1982.
- Particle Image Velocimetry, by Ronald J. Adrian and Jerry Westerweel Cambridge Aerospace Series, 2010.

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Introduction to measurement, Wind Tunnels and Water Tunnels, Flow visualization techniques, Measurement of Pressure and volume flow rate, Force Measurements, Temperature Measurements, Hotwire Measurements, Data Acquisition, Processing and uncertainty analysis, Static and dynamic response of measuring systems, PIV Measurements, Integral optical measurement techniques: Shadowgraph, Schlieren & Interferometers, LDV Measurements, LIF Measurements. Measurement of Wall Shear Stress

**References/Text Books:**

- Fluid Mechanics Measurement, by Richard J. Goldstein SpringerVerlng. 1983
- Experimental Methods for Engineers by J.P. Holman McGrawHill 2008
- Measurement in Fluid Mechanics by Stavros Tavoularis. Cambridge 2005
- Particle Image Velocimetry: A Practical Guide by M. Raffel, C. Willert & J.Kompenhans. Springer, 1998.
- Instrumentation, Measurements, and Experiments in Fluids, byE Rathakrishnan, CRCPress, 2007
- The Laser Doppler Technique, by L. E. Drain, John Wiley & Sons 1980.
- Hotwire anemometry, by Perry A. E. Oxford University Press, 1982.
- Particle Image Velocimetry, by Ronald J. Adrian and Jerry Westerweel CambridgeAerospace Series, 2010.

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Thin aerofoil theory, finite wing theory, basic thermodynamics, one and twodimensionalflows, isentropic flows, waves (shock, expansion, characteristicsetc.), potential flows, perturbation equation, subsonic flows similarities Fannoand Rayleigh flows.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Thin aerofoil theory, finite wing theory, basic thermodynamics, one and twodimensionalflows, isentropic flows, waves (shock, expansion, characteristicsetc.), potential flows, perturbation equation, subsonic flows similarities Fannoand Rayleigh flows.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Basic concepts of BL theory; similar flows: generalized techniques of solvingBL eqns. for incompressible fluids : thermal BL. BL control. Intro. to turbulentshear flows.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Basic concepts of BL theory; similar flows: generalized techniques of solvingBL eqns. for incompressible fluids : thermal BL. BL control. Intro. to turbulentshear flows.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Main issues of spacetime resolution: Computing timeaveraged and unsteadyproblems. Discretization with operators. Problems in physical and transformedplane: Jacobians and flux vector splitting. Generalized transformation & gridgeneration techniques: Orthogonal & Chimera gridsapplication to FIV/aeroelasticityproblems. Spectral tools of analysis for discrete schemes: FDM, FVM& FEM. High order and high accuracy schemes of FDMs and FVMs. Design ofDispersion Relation Preservation schemes.

Aliasing error & its alleviation. Highaccuracy methods for DN Sand LES. SGS models for LES and their connectionto higher order upwinding. Computing equations with discontinuous solutionsand Gibbs phenomenon. Applications to incompressible viscous and compressibleflows. DNS of turbulence and acoustic problems.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Main issues of spacetime resolution: Computing timeaveraged and unsteadyproblems. Discretization with operators. Problems in physical and transformedplane: Jacobians and flux vector splitting. Generalized transformation & gridgeneration techniques: Orthogonal & Chimera gridsapplication to FIV/aeroelasticityproblems. Spectral tools of analysis for discrete schemes: FDM, FVM& FEM. High order and high accuracy schemes of FDMs and FVMs. Design ofDispersion Relation Preservation schemes.

Aliasing error & its alleviation. Highaccuracy methods for DN Sand LES. SGS models for LES and their connectionto higher order upwinding. Computing equations with discontinuous solutionsand Gibbs phenomenon. Applications to incompressible viscous and compressibleflows. DNS of turbulence and acoustic problems.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** NavierStokes eqn. and its various forms, thin shear layer approxn. Varioustypes of flows. Instabilities in laminar flows. Relationship of instability theorywith transition to turbulence. Transition prediction.

Receptivity for two & threedimensional problems.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents: **NavierStokes eqn. and its various forms, thin shear layer approxn. Varioustypes of flows. Instabilities in laminar flows. Relationship of instability theorywith transition to turbulence. Transition prediction.

Receptivity for two & threedimensional problems.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents: **Fundamental concepts; strong form, weak form, Galerkins approximation; matrixeqns, element and global point of view; numerical integration Guassianquadrature; termporal discretization generalized trapeziodal rule; compressibleand incompressible flows; implementation of the methods; issues related tohigh performance computing.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Fundamental concepts; strong form, weak form, Galerkins approximation; matrixeqns, element and global point of view; numerical integration Guassianquadrature; termporal discretization generalized trapeziodal rule; compressibleand incompressible flows; implementation of the methods; issues related tohigh performance computing.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Origin, examples & character of turb, Reynolds stress, energy relations, closureproblem, phenomenology, eddy viscosity. Staistics. spectra, spacetime correlations,macro & microscales, stat. theory of turb, locally isotropic turb, Kolmogorovshypothesis, correlation method, spectral method, turb. diffusion.

Experimentaltechniques.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Origin, examples & character of turb, Reynolds stress, energy relations, closureproblem, phenomenology, eddy viscosity. Staistics. spectra, spacetime correlations,macro & microscales, stat. theory of turb, locally isotropic turb, Kolmogorovshypothesis, correlation method, spectral method, turb. diffusion.

Experimentaltechniques.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Eqns of fluid dynamics & its classifications. Boundary conditions. Stabilityanalysis & concept of feedback. Various explicit & implicit schemes. Gridgeneration. Solving parabolic, elliptic PDEs by explicit, implicit, acceleratedtechniques. Solving advection equation. Integral representation of NavierStokesequation;LES & DNS.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Eqns of fluid dynamics & its classifications. Boundary conditions. Stabilityanalysis & concept of feedback. Various explicit & implicit schemes. Gridgeneration. Solving parabolic, elliptic PDEs by explicit, implicit, acceleratedtechniques. Solving advection equation. Integral representation of NavierStokesequation;LES & DNS.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Elements of viscous flows and thin shear layer approximation. Different typesof TSL flows. Instabilities in flows. RayleighTaylor, KelvinHelmholtz mechanisms.Thin shear layer instabilities: for parallel and nonparallel flows. Temporal andspatial instabilities in boundary layers. convective/absolute, local/globalinstabilities of boundary layers, wakes, jets and free shear layers. Primary andsecondary instabilities and relationship of instability theories to transition.Receptivity of shear layers for 2 and 3D flows. Bypass transition in differentflows.Classified views of trubulent flows. Scales, spectra and closure of turbulent flows.Vorticity dynamics and other kinematic tools of turbulence. Role of stretchingand dispersion in small scale turbulence. Route to turbulence: Chaos via nonlinearity,instabilities and bifurcation. Coherent structures in turbulence:Universality of transitional and turbulent flows. Study of turbulence via chaosdynamics ans proper orthogonal decomposition (POD). DNS, LES and other closureschemes of turbulence

**References/Text Books:**

- Drazin. P.G. & Reid W.H.: Hydrodynamic Stability 1981, (CUP).
- Davidson. P.A.: Turbulence (2003) (OUP)
- Lmdahl. M.T. & MolloChristcnsen: Turbulence & Random Processes in Fluid Mechanics 1992 (CUP)
- Holmes. P., Lumley, J .L. & Bcrkooz G.: Turbulence, Coherent structures. Dynamical systems and Symmetry. 1996 (CUP)
- Sagaut. P.: Large Eddy Simulation for Incompressible Flows. 2000 (Springer)
- Sengupta T.K.: Foundation of CFD, 2004 (Univ. Press)

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Elements of viscous flows and thin shear layer approximation. Different typesof TSL flows. Instabilities in flows. RayleighTaylor, KelvinHelmholtz mechanisms.Thin shear layer instabilities: for parallel and nonparallel flows. Temporal andspatial instabilities in boundary layers. convective/absolute, local/globalinstabilities of boundary layers, wakes, jets and free shear layers. Primary andsecondary instabilities and relationship of instability theories to transition.Receptivity of shear layers for 2 and 3D flows. Bypass transition in differentflows.Classified views of trubulent flows. Scales, spectra and closure of turbulent flows.Vorticity dynamics and other kinematic tools of turbulence. Role of stretchingand dispersion in small scale turbulence. Route to turbulence: Chaos via nonlinearity,instabilities and bifurcation. Coherent structures in turbulence:Universality of transitional and turbulent flows. Study of turbulence via chaosdynamics ans proper orthogonal decomposition (POD). DNS, LES and other closureschemes of turbulence

**References/Text Books:**

- Drazin. P.G. & Reid W.H.: Hydrodynamic Stability 1981, (CUP).
- Davidson. P.A.: Turbulence (2003) (OUP)
- Lmdahl. M.T. & MolloChristcnsen: Turbulence & Random Processes in Fluid Mechanics 1992 (CUP)
- Holmes. P., Lumley, J .L. & Bcrkooz G.: Turbulence, Coherent structures. Dynamical systems and Symmetry. 1996 (CUP)
- Sagaut. P.: Large Eddy Simulation for Incompressible Flows. 2000 (Springer)
- Sengupta T.K.: Foundation of CFD, 2004 (Univ. Press)

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents: **Continuum hypersonics in entry flight. Gen features, Mach no. Small disturbtheory, similitude. Large diflecn similitude; wedge, cone, wing. Unified similitude.Lighthill & other piston analogies, NewtonBusemann theory, thin shock layers,viscousinviscid interaction. Real gas. Frozen flow. Nonequilibrium flow.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Continuum hypersonics in entry flight. Gen features, Mach no. Small disturbtheory, similitude. Large diflecn similitude; wedge, cone, wing. Unified similitude.Lighthill & other piston analogies, NewtonBusemann theory, thin shock layers,viscousinviscid interaction. Real gas. Frozen flow. Nonequilibrium flow.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Earths atmosphere & rotation, Coriolis force, geostrophic winds. Terrain, mettheories, measuring technique. Wind power site. Atmosph BL. Aerodyn in windpower. Sails, airscrews. Vertical & horizontal axis wind turbines. Actuator disc,momentum, and vortex theories. Control of wind turbines.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents: **Earths atmosphere & rotation, Coriolis force, geostrophic winds. Terrain, mettheories, measuring technique. Wind power site. Atmosph BL. Aerodyn in windpower. Sails, airscrews. Vertical & horizontal axis wind turbines. Actuator disc,momentum, and vortex theories. Control of wind turbines.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite: None

**Course Contents:** Introduction to Unmanned Aerial Vehicles (UAVs), types of UAVs, applications, design process and design goals

- Unmanned Aerial Systems: description of each sub-system and their roles
- Mission specific configuration selection, powerplant selection and preliminary design
- Aerodynamics and Performance, equation of motion and dynamics model
- Levels of autonomoy, autopilot architecture and design, stability and control analysis, linear control design, gain selection through experimentation, nonlinear control design, state estimation, sensor, actuator, telemetry
- Commercial-Off-The-Shelf (COTS) design and system integration
- Ground station, Microcontroller programming using Real Time Operating System (RTOS), Robotic Operating System (ROS), Hardware-in-the-loop simulation (HILS), experimental procedures and flight testing
- Case studies: Quadrotors, fixed wing, conventional helicopter, innovative new concepts

**References:**

- Castillo, P., Lozano, R., and Dzul, A. E., Modelling and Control of Mini-Flying Machines, Springer, London, 2005.
- Beard, R., and McLain, T., Small Unmanned Aircraft: Theory and Practice, Princeton University Press, 2012.
- Shkarayev, S. V., Ifju, P. G., Kellogg, J. C., and Mueller, T. J., \emph{Introduction to the Design of Fixed-Wing Micro Air Vehicles Including Three Case Studies}, AIAA Education Series, 2007.
- Appriou, A., Aerial Robotics, Journal Aerospace Lab, Issue 8, December 2014.

L-T-P-D-C (3-0-0-0-[4])

Pre-requisites

**Course Content**

- Introduction to missile and its subsystems, tactical and strategic missiles, artillery rockets.
- Dynamics of missiles, missile aerodynamics, highangle-of-attack maneuvers.
- Missile autopilot and trajectory analysis.
- Classical guidance laws: pursuit, line-of-sight, proportional navigation, Lambert guidance laws, basic results in interception and avoidance.
- Advanced guidance laws, optimal control based formulations, impact angle constrained guidance laws.
- Differential games and pursuit-evasion problems.

**Suggested text and reference material**

- Neryahu A Shneydor, Missile guidance and pursuit: kinematics, dynamics and control, Elsevier, 1998.
- P Zarchan, Tactical and strategic missile guidance, American Institute of Aeronautics and Astronautics, 1997.
- Robert C. Nelson, Flight Stability and Automatic Control, McGraw-Hill, Second Edition, 1998.
- Eugene L. Fleeman, Tactical Missile Design, AIAA Education Series, 2001.

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Course introduction, basic definition, notion, guidance, navigation, and control loops.Review to linear algebra. Coordinated frames, kinematics and dynamics, trim conditions.Linear control and autopilot design. Introduction to probability and random processes.Accelerometer, rate gyros, pressure sensors, magnetometers, inertial measurement units (IMUs), global positioning systems (GPS). State estimation: Kalman filter (KF), Extended Kalman filter(EKF), Unscented Kalman filter (UKF), Cubature Kalman filter (CKF), Information filters, GPS aided navigation. Path planning and path following algorithms.

Controllability, observability, vision guided navigation. Cooperative control

**References/Text Books:**

- D. P. Bertsekas and J. N. Tsitsiklis, Introduction to Probability, Athena Scientific, 2008.
- S. Thrun, W. Burgard, and D. Fox, Probabilistic Robotics, MIT Press, 2005.
- S. M. LaValle. Planning Algorithms. Cambridge University Press, Cambridge, U.K., 2006.

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Course introduction, basic definition, notion, guidance, navigation, and control loops.Review to linear algebra. Coordinated frames, kinematics and dynamics, trim conditions.Linear control and autopilot design. Introduction to probability and random processes.Accelerometer, rate gyros, pressure sensors, magnetometers, inertial measurement units (IMUs), global positioning systems (GPS). State estimation: Kalman filter (KF), Extended Kalman filter(EKF), Unscented Kalman filter (UKF), Cubature Kalman filter (CKF), Information filters, GPS aided navigation. Path planning and path following algorithms.

Controllability, observability, vision guided navigation. Cooperative control

**References/Text Books:**

- D. P. Bertsekas and J. N. Tsitsiklis, Introduction to Probability, Athena Scientific, 2008.
- S. Thrun, W. Burgard, and D. Fox, Probabilistic Robotics, MIT Press, 2005.
- S. M. LaValle. Planning Algorithms. Cambridge University Press, Cambridge, U.K., 2006.

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Introduction, performance of single and multistage rockets, central force motion,twobody problem, ballistic trajectories, trajectory transfer, rendezvous andinterception, Eulers eqns, satellite attitude dynamics, stabilization throughgravity gradient, spin and dual spin, effect of energy dissipation on stability.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Introduction, performance of single and multistage rockets, central force motion,twobody problem, ballistic trajectories, trajectory transfer, rendezvous andinterception, Eulers eqns, satellite attitude dynamics, stabilization throughgravity gradient, spin and dual spin, effect of energy dissipation on stability.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Attitude dynamics and stability ofthreeaxis stabilized, singlespin, dualspin, and multibodyspacecraft with a1ticulated antennas, sensors, and solar arrays.Design of control ofthreeaxis stabilized spacecraft in orbit using reaction wheels, thrusters,magnets, single and doublegimbaled control moment gyrosLargeangle threeaxis attitude maneuver controllers using reaction wheels and thrustersControl of spinning spacecraft in transfer orbit during delta_ v firing and in operational orbitsaround the Earth, and design of active nutation controlAttitude stabilization of bias momentum spacecraft using magnets and thrustersDynamics and control of dualspin spacecraftPrecision pointing and tracking controllers for tracking landmarks, moving objects, and othersatellites for crosslink communicationSolar array controllers for tracking the Sun; determining the array's orientation with sun sensorsModeling of dynamics of flexible solar arrays, its interaction with spacecraft dynamics andcontrol systemsAttitude determination with gyros, star trackers, sun sensors, and horizon sensors usingalgorithms such as TRIAD and QUEST (quaternion estimator); sensors error characteristics; andKalman filteringGuidance and navigation for spacecraft rendezvousThe above control techniques will be related with the control of Indian communication, remotesensing, and other special purpose satellites (Ca1tosat, Edusat, telemedicine).

References/Text Books:

- Hughes, P.C., Spacecraft Attitude Dynamics, John Wiley, 1986.
- Sidi, M.J., Spacecraft Dynamics and Control, Cambridge University Press, 1997
- Noton, M., Spacecraft Navigation and Guidance, Springer 1998
- Kaplan, M.H., Modern Spacecraft Dynamics and Control, John Wiley, 1976
- Agrawal, B., Design of Geosynchronous Spacecraft, Prentice Hall, 1986
- Bryson, A.E., Control of Spacecraft and Aircraft, Princeton University Press, 1994
- Pocha, J.J., An Introduction to Mission Design for Geostationary Satellites, D. Reidel,1987
- Mara[, G., and Bousquet, M., Satellite Communications Systems, Fourth Edition, JohnWiley, 2006.
- Wie, B., Space Vehicle Dynamics and Control, AIAA Education Series, 1998.

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Course Details: Attitude dynamics and stability ofthreeaxis stabilized, singlespin, dualspin, and multibodyspacecraft with a1ticulated antennas, sensors, and solar arrays.Design of control ofthreeaxis stabilized spacecraft in orbit using reaction wheels, thrusters,magnets, single and doublegimbaled control moment gyrosLargeangle threeaxis attitude maneuver controllers using reaction wheels and thrustersControl of spinning spacecraft in transfer orbit during delta_ v firing and in operational orbitsaround the Earth, and design of active nutation controlAttitude stabilization of bias momentum spacecraft using magnets and thrustersDynamics and control of dualspin spacecraftPrecision pointing and tracking controllers for tracking landmarks, moving objects, and othersatellites for crosslink communicationSolar array controllers for tracking the Sun; determining the array's orientation with sun sensorsModeling of dynamics of flexible solar arrays, its interaction with spacecraft dynamics andcontrol systemsAttitude determination with gyros, star trackers, sun sensors, and horizon sensors usingalgorithms such as TRIAD and QUEST (quaternion estimator); sensors error characteristics; andKalman filteringGuidance and navigation for spacecraft rendezvousThe above control techniques will be related with the control of Indian communication, remotesensing, and other special purpose satellites (Ca1tosat, Edusat, telemedicine).

**References/Text Books:**

Course Reference :

- Hughes, P.C., Spacecraft Attitude Dynamics, John Wiley, 1986.
- Sidi, M.J., Spacecraft Dynamics and Control, Cambridge University Press, 1997
- Noton, M., Spacecraft Navigation and Guidance, Springer 1998
- Kaplan, M.H., Modern Spacecraft Dynamics and Control, John Wiley, 1976
- Agrawal, B., Design of Geosynchronous Spacecraft, Prentice Hall, 1986
- Bryson, A.E., Control of Spacecraft and Aircraft, Princeton University Press, 1994
- Pocha, J.J., An Introduction to Mission Design for Geostationary Satellites, D. Reidel,1987
- Mara[, G., and Bousquet, M., Satellite Communications Systems, Fourth Edition, JohnWiley, 2006.
- Wie, B., Space Vehicle Dynamics and Control, AIAA Education Series, 1998.

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Fundamentals of vectors. Transformation of coordinates. Particle kinematics.Rigid body kinematics. Force equations in a moving frame. Moment equationsin a moving frame. Atmospheric flight Dynamics. Space flight dynamics.Gyrodynamics.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Fundamentals of vectors. Transformation of coordinates. Particle kinematics.Rigid body kinematics. Force equations in a moving frame. Moment equationsin a moving frame. Atmospheric flight Dynamics. Space flight dynamics.Gyrodynamics.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Linearized equations of aircraft motion for small perturbations in stability axes.Stability analysis of linearized equations of motion. Airplane longitudinal motion.Airplane lateral motion. Airplane handling qualities.

Missile and launch vehiclestability and control. Qualitative discussion of automatic flight control systems

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents: **Linearized equations of aircraft motion for small perturbations in stability axes.Stability analysis of linearized equations of motion. Airplane longitudinal motion.Airplane lateral motion. Airplane handling qualities.

Missile and launch vehiclestability and control. Qualitative discussion of automatic flight control systems

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:**

- Introduction to Automatic Control Systems.(Plant Models, Control Algorithms, Sensors, Actuators, Control SystemsClassification.)
- Introduction to Rigid Body Dynamics and Flight Models.
- Linear Systems(Analog and Digital Systems, Transfer Function and FrequencyResponse, State Space Representations, Stability, Performance, and Robustness).
- Single Variable Linear Control(Proportional, Integral, Derivative Control, Rate and RateIntegrating Gyros,Single Input Regulation by Pole Placement, Linear Observers, SISO Compensationand Tracking, Single Axis Attitude Control, Aircraft Heading Autopilot, Aircraft SpeedAutopilot, Roll Autopilots for Aircraft, Rockets, and Entry Vehicles, Planar TrackingSystems for Rockets and Entry Vehicles, Pitch Stabilization of Gravity GradientSpacecraft, Spacecraft Single Axis Maneuvers).
- Multivariable Linear Optimal Control(Linear Optimal Control, Linear Quadratic Regulator, Kalman Filter, OptimalCompensation and Multivariable Tracking, Longitudinal Autopilots for Aircraft, Banktoturn Missiles, and Entry Vehicles, LateralDirectional Autopilots for AtmosphericFlight Vehicles, Attitude Stabilization of Spacecraft, Reaction Wheel Control Systems,Magnetic Torquer/Reaction Wheel Control Systems, Control Moment Gyroscopes ,Variable Speed Control Moment Gyroscopes, ThrustVectoring Attitude Control ofRockets).
- Terminal Time Weighted Linear Optimal Control(Time Varying Tracking Systems, Guidance and Control of Rockets and EntryVehicles, Automated Orbital Rendezvous).
- Digital Implementation of Linear Flight Control Systems.

**References/Text Books:**

- Tewari, A , Modern Control Design with MATLAB and Simulink, John Wiley & Sons,Chichester, 2002.
- Tewari, A, Atmospheric and Space Flight Dynamics, Springer (Birkhauser), Boston,2006.

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:**

- Introduction to Automatic Control Systems.(Plant Models, Control Algorithms, Sensors, Actuators, Control SystemsClassification.)
- Introduction to Rigid Body Dynamics and Flight Models.
- Linear Systems(Analog and Digital Systems, Transfer Function and FrequencyResponse, State Space Representations, Stability, Performance, and Robustness).
- Single Variable Linear Control(Proportional, Integral, Derivative Control, Rate and RateIntegrating Gyros,Single Input Regulation by Pole Placement, Linear Observers, SISO Compensationand Tracking, Single Axis Attitude Control, Aircraft Heading Autopilot, Aircraft SpeedAutopilot, Roll Autopilots for Aircraft, Rockets, and Entry Vehicles, Planar TrackingSystems for Rockets and Entry Vehicles, Pitch Stabilization of Gravity GradientSpacecraft, Spacecraft Single Axis Maneuvers).
- Multivariable Linear Optimal Control(Linear Optimal Control, Linear Quadratic Regulator, Kalman Filter, OptimalCompensation and Multivariable Tracking, Longitudinal Autopilots for Aircraft, Banktoturn Missiles, and Entry Vehicles, LateralDirectional Autopilots for AtmosphericFlight Vehicles, Attitude Stabilization of Spacecraft, Reaction Wheel Control Systems,Magnetic Torquer/Reaction Wheel Control Systems, Control Moment Gyroscopes ,Variable Speed Control Moment Gyroscopes, ThrustVectoring Attitude Control ofRockets).
- Terminal Time Weighted Linear Optimal Control(Time Varying Tracking Systems, Guidance and Control of Rockets and EntryVehicles, Automated Orbital Rendezvous).
- Digital Implementation of Linear Flight Control Systems.

**References/Text Books:**

Course Reference :

- Tewari, A , Modern Control Design with MATLAB and Simulink, John Wiley & Sons,Chichester, 2002.
- Tewari, A, Atmospheric and Space Flight Dynamics, Springer (Birkhauser), Boston,2006.

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Introduction to propulsion, conservation equations, basic thermodynamics,dynamics and thermodynamics of 1 D flows, 1 D isentropic flows, normal andoblique shocks, compressible flows, Rayleigh flow, Fanno flow, elements ofcombustion, thermochemistry , adiabatic flame temperature, premixed flames,diffusion flames, rocket propulsion, thrust equation, solid rockets, liquid rockets,hybrid rockets, gas turbine cycles.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Introduction to propulsion, conservation equations, basic thermodynamics,dynamics and thermodynamics of 1 D flows, 1 D isentropic flows, normal andoblique shocks, compressible flows, Rayleigh flow, Fanno flow, elements ofcombustion, thermochemistry , adiabatic flame temperature, premixed flames,diffusion flames, rocket propulsion, thrust equation, solid rockets, liquid rockets,hybrid rockets, gas turbine cycles.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Gas turbine engines, performance analysis, subsonic and supersonic diffusers,centrifugal and axial compressors, stage dynamics, compressor stall, axialturbines, compressorturbine matching, gas turbine combustors and afterburners,nozzles, ramjets, scramjets.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Gas turbine engines, performance analysis, subsonic and supersonic diffusers,centrifugal and axial compressors, stage dynamics, compressor stall, axialturbines, compressorturbine matching, gas turbine combustors and afterburners,nozzles, ramjets, scramjets.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Axial compressors, stage dynamics, degree of reaction, pressure rise limitations,secondary flows, performance: design and offdesign, starting problems, centrifugalcompressors; inlet flow, slip, sweep, diffuser design. Axial turbines: stagedynamics, three dimensional flows, loss estimation, blade cooling.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Axial compressors, stage dynamics, degree of reaction, pressure rise limitations,secondary flows, performance: design and offdesign, starting problems, centrifugalcompressors; inlet flow, slip, sweep, diffuser design. Axial turbines: stagedynamics, three dimensional flows, loss estimation, blade cooling.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - AE 341 / AE652

**Course Contents:** Introduction and overview. Comparison of ramjet propulsion with other typesof missile propulsion. Types of ram propulsion. Specific impulse. Propellants. Ramjet air induction system for missile application. Ducted rocket performancewith single and multiple inlet systems. Engine and airframe integration for ramjetand ram rocket powered missiles. Ramjet with solid fuel. Solid propellant ramrockets. Supersonic combustion ramjet. Inlet, combustor and nozzle analysis.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - AE 341 / AE652

**Course Contents:** Introduction and overview. Comparison of ramjet propulsion with other typesof missile propulsion. Types of ram propulsion. Specific impulse. Propellants.Ramjet air induction system for missile application. Ducted rocket performancewith single and multiple inlet systems. Engine and airframe integration for ramjetand ram rocket powered missiles. Ramjet with solid fuel. Solid propellant ramrockets. Supersonic combustion ramjet. Inlet, combustor and nozzle analysis.

**References/Text Books:**

L-T-P-D-C (3-1-0-0-5)

Pre-requisite - None

**Course Contents:** Introduction, Governing equations, Modeling of laminar premixed and nonpremixed flames,Modeling of turbulent premixed and nonpremixed flames, Advanced modeling aspect.Introduction (3 hrs) Motivation and aim Governing equations for reacting flowsModeling of Laminar Premixed flames (7 hrs) Introduction Conservation equations and numerical solutions Steady 1 D flames Theoretical solution methods Calculation of flame speed, thickness and stretchModeling of Laminar nonpremixed flames (6 hrs) Nonpremixed flame configuration Theoretical tools Flame structure for irreversible infinite fast chemistry and solutions Theory of other flame structuresModeling of turbulent premixed flames (10 hrs) Phenomenological description Premixed turbulent combustion regime RANS modeling LES modeling DNS modelingModeling of turbulent nonpremixed flames (10 hrs) Phenomenological description Turbulent nonpremixed combustion regime RANS modeling LES modeling DNS modelingAdvanced modeling aspect (4 hrs) Combustion in twophase flows Boundary conditions Flame/wall interactions Flame/acoustics interaction

**References/Text Books:**

- Peters, N., Turbulent Combustion, Cambridge University Press, 2000.
- Warnatz, J., Mass, U., Dibble, R.W., Combustion: Physical and ChemicalFundamentals, Modeling and Simulation, Experiments, Pollutant Formation,Springer, 4111 Edition, 2006.
- Kuo, Kenneth, Principles of Combustion, John Wiley and Sons, Inc, 2d Edition,2005.
- Chung, T. J., Computational Fluid Dynamics, Cambridge University Press, 2002.
- Law, C. K., Combustion Physics, Cambridge University Press, 2006.

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Introduction, Governing equations, Modeling of laminar premixed and nonpremixed flames,Modeling of turbulent premixed and nonpremixed flames, Advanced modeling aspect.Introduction (3 hrs) Motivation and aim Governing equations for reacting flowsModeling of Laminar Premixed flames (7 hrs) Introduction Conservation equations and numerical solutions Steady 1 D flames Theoretical solution methods Calculation of flame speed, thickness and stretchModeling of Laminar nonpremixed flames (6 hrs) Nonpremixed flame configuration Theoretical tools Flame structure for irreversible infinite fast chemistry and solutions Theory of other flame structuresModeling of turbulent premixed flames (10 hrs) Phenomenological description Premixed turbulent combustion regime RANS modeling LES modeling DNS modelingModeling of turbulent nonpremixed flames (10 hrs) Phenomenological description Turbulent nonpremixed combustion regime RANS modeling LES modeling DNS modelingAdvanced modeling aspect (4 hrs) Combustion in twophase flows Boundary conditions Flame/wall interactions Flame/acoustics interaction

**References/Text Books:**

Course Reference :

- Peters, N., Turbulent Combustion, Cambridge University Press, 2000.
- Warnatz, J., Mass, U., Dibble, R.W., Combustion: Physical and ChemicalFundamentals, Modeling and Simulation, Experiments, Pollutant Formation,Springer, 4111 Edition, 2006.
- Kuo, Kenneth, Principles of Combustion, John Wiley and Sons, Inc, 2d Edition,2005.
- Chung, T. J., Computational Fluid Dynamics, Cambridge University Press, 2002.
- Law, C. K., Combustion Physics, Cambridge University Press, 2006.

L-T-P-D-C (2-0-3-0-4)

Pre-requisite - None

**Course Contents:**

- Introduction to: design process, design goals, types of rotorcraft (2 Lec.)
- Understanding mission requirements, use of Analytical Hierarchy Process in configuration selection (2 Lec.) (1 Lab.)
- Concept selection methodology: collection of statistical data, Pugh's method, key performance indices, life cycle costs (2 Lec.) (1 Lab.)
- Generating design alternatives: preliminary sizing using Tischenko's Method, preliminaryweight estimation, rotor propulsive efficiency, Lift/Drag ratio, engine performance, main ro tor blade weight estimation, rotor hub and swash plate (3 Lec.) (1 Lab.)
- Performance: power required for hover, climb, level flight, maximum level speed, speed forbest endurance, best range, autorotative per formance (3 Lec.) (2 Lab.)
- Main rotor configuration design: rotor struc tural and aerodynamic design (number ofblades, rotor diameter, blade chord, rotor iner tia, blade twist, blade taper, blade tip shape, sweep, root cutout, tip speed, hinge offset, air foils, frequency placement, material selection) (5 Lec.) (3 Lab.)
- Rotor component design: hub design, control power, helicopter stability considerations (3 Lec.) (2 Lab.)
- Tail rotor/ antitorque systems: diameter, tip speed, disk area, number of blades, pusher vstractor (2 Lec.) (1 Lab.)
- Fuselage and landing gear design (4 Lec.) (2 Lab.)
- Vibration sources, vibration reduction (2 Lec.) (1 Lab.)
- Life cycle cost estimation: environmental cost, purchase cost. operating cost(2 Lec.) (1 Lab.)

**References/Text Books:**

- Leishman, J. G., Principles of Helicopter Aerodynamics, Cambridge Aerospace Series,2000.
- Prouty, R. W., Helicopter Performance, Stability, and Control, Krieger Publishing Company, Florida, 1986.
- Stepniewski, W. Z., and Keys, C. N., Rotary Wing Aerodynamics, Dover, New York,1984.
- Venkatesan, C., Lecture Notes on Helicopter Technology, Department of AerospaceEngineering, liT Kanpur, 2000.
- Filippone, A., Flight Performance of Fixed and Rotary Wing Aircraft, AIAA EducationSeries, 2006.

L-T-P-D-C (2-0-3-0-9)

Pre-requisite - None

**Course Contents:**

- Introduction to: design process, design goals, types of rotorcraft (2 Lec.)
- Understanding mission requirements, use of Analytical Hierarchy Process in configuration selection (2 Lec.) (1 Lab.)
- Concept selection methodology: collection of statistical data, Pugh's method, key performance indices, life cycle costs (2 Lec.) (1 Lab.)
- Generating design alternatives: preliminary sizing using Tischenko's Method, preliminaryweight estimation, rotor propulsive efficiency, Lift/Drag ratio, engine performance, main ro tor blade weight estimation, rotor hub and swash plate (3 Lec.) (1 Lab.)
- Performance: power required for hover, climb, level flight, maximum level speed, speed forbest endurance, best range, autorotative per formance (3 Lec.) (2 Lab.)
- Main rotor configuration design: rotor struc tural and aerodynamic design (number ofblades, rotor diameter, blade chord, rotor iner tia, blade twist, blade taper, blade tip shape, sweep, root cutout, tip speed, hinge offset, air foils, frequency placement, material selection) (5 Lec.) (3 Lab.)
- Rotor component design: hub design, control power, helicopter stability considerations (3 Lec.) (2 Lab.)
- Tail rotor/ antitorque systems: diameter, tip speed, disk area, number of blades, pusher vstractor (2 Lec.) (1 Lab.)
- Fuselage and landing gear design (4 Lec.) (2 Lab.)
- Vibration sources, vibration reduction (2 Lec.)(1 Lab.)
- Life cycle cost estimation: environmental cost, purchase cost. operating cost(2 Lec.) (1 Lab.)

**References/Text Books:**

Course Reference :

- Leishman, J. G., Principles of Helicopter Aerodynamics, Cambridge Aerospace Series,2000.
- Prouty, R. W., Helicopter Performance, Stability, and Control, Krieger Publishing Company, Florida, 1986.
- Stepniewski, W. Z., and Keys, C. N., Rotary Wing Aerodynamics, Dover, New York,1984.
- Venkatesan, C., Lecture Notes on Helicopter Technology, Department of AerospaceEngineering, liT Kanpur, 2000.
- Filippone, A., Flight Performance of Fixed and Rotary Wing Aircraft, AIAA EducationSeries, 2006.

L-T-P-D-C (2-0-3--4)

Pre-requisite - AE651/AE342

**Course Contents**: Introduction to rocket propulsion, Types of rocket engines, Elements of combustion,Chemical propellants and their burning characteristics, Aerothermodynamic designanalysis of solid propellant rocket engine, Liquid propellant rocket engine, Design ofthrust chamber, Design of cooling system; Design of rocket Nozzle.

**References/Text Books:**

- Sutton G.P and Ross D. M. Rocket Propulsion Elements, John Wiley & Sons,New York, 1985.
- Barrere M, Jaumotte A and Vandenkerckhove
- Rocket Propulsion, ElsevierPublishing Company, New York, 1960.
- Hill, P.G. and Peterson C.R., Mechanics and Thennodynamics ofPropulsion, Addison Wesiey Publishing Company, 1965.
- Oater G.C, Aerothermodynamics of Gas Turbine and Rocket Propulsion, 3rdEdition, AIAA education Seria, 1998.
- Mishra D.P. Fundamental of Combustion Prentice Hall oflndia, New Delhi
- Kuo K. K. and Summerfield, Fundamentals Of Solid Propellant, combustionprogress in Astronautics and Aeronautics, Vol. 90, AIAA New York.

L-T-P-D-C (2-0-3-0-9)

Pre-requisite - None

**Course Contents:** Introduction to rocket propulsion, Types of rocket engines, Elements of combustion,Chemical propellants and their burning characteristics, Aerothermodynamic designanalysis of solid propellant rocket engine, Liquid propellant rocket engine, Design ofthrust chamber, Design of cooling system; Design of rocket Nozzle.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Introduction, Combustion and Thermochemistry: Motivation and objective, Property relations, Thermodynamic laws, Reactant & Product mixtures, Adiabatic flame temperature, Chemical equilibrium and equilibrium products Kinetics and Mechanism:Introduction, Global versus elementary reactions, Rates of reaction for multistep mechanismsConservation equations: Simplified governing equations, Momentum, energy, mass conservation, Multicomponent diffusion, Concept of conserved scalar Laminar Premixed and Nonpremixed flames: Physical description, Simplified and detailed analysis, Flame speed, thickness, quenching, flammability limits, Flame stabilization, Nonremixed flames, laminar jets, Droplet Combustion, Solid fuel Combustion

**References/Text Books:**

L-T-P-D-C ()

Pre-requisites

**Course Content:** Introduction, Governing equations, 1D flow, Normal Shock, Oblique shock, Method of characteristics, Transport processes in compressible flow, Reacting compressible flows, High temperature gas dynamics.

**Suggested text and reference material:**

- Compressible flow, Anderson
- Compressible flow, Shapiro
- Gas Dynamics, Vincenti & Kruger
- Combustion Theory, Forman A. Williams

L-T-P-D-C (3-0-0-0 [9])

Pre-requisites - Undergraduate Mathematics, Fluid Mechanics, Heat & Mass Transfer and Programming

**Course Content:**

- Introduction
- Mathematical modelling

- Governing equations and general scalar transport equation
- Mathematical classification of PDEs

- Numerical Methods

- Mesh terminology and types
- Discretization methods
- Solution of discretization equations
- Accuracy, consistency, stability and convergence

- Diffusion equation

- 2D steady and unsteady problems, BC
- Errors and stability analysis
- Diffusion in orthogonal and non-orthogonal meshes
- Gradient calculation and discussion

- Convection equation

- 2D convection-diffusion problems: steady, unsteady, BC
- Convection-diffusion in non-orthogonal meshes
- Accuracy of discretization schemes
- Higher order schemes and Discussion

- Fluid flow problems

- Discretization of governing equations
- BC and solution methods
- Staggered and collocated formulations
- Pressure-velocity coupling: SIMPLE, SIMPLER
- Pressure-velocity checker-boarding
- Solution algorithms

- Linear Solvers

- Direct Vs Iterative solvers
- Data-structures
- TDMA, Jacobi and gauss-seidel methods
- General iterative solvers
- Multigrid methods

**Suggested text and reference material: **

- Patankar, S. V. , Numerical Heat Transfer and Fluid Flow, McGraw-Hill, NewYork, 1980.
- Chung, T. J., Computational Fluid Dynamics, Cambridge University Press, 2002.
- Ferzziger, J.H., and Peric, M., Computational Methods for Fluid Dynamics, Springer, 2002.
- Versteeg, H. K., and Malalasekera, W., An Introduction to Computational Fluid Dynamics, Longman Scientific and Technical, 1995.

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Error estimates and uncertainty analysis, dynamic pressure measurement in combustors, temperature measurement in flames using thermocouple, pollutant and species measurement using gas sampling, non-intrusive optical diagnostics for species, temperature and velocity measurement in flames, flow visualization

**References/Text Books:**

- Experimental Combustion: An Introduction, D. P. Mishra, 2014
- Thermal and Flow Measurements, T. W. Lee, 2008
- Laser Diagnostics for Combustion Temperature and Species, A. C. Eckbreth, 1996
- Combustion Measurements, N. Chiger, 1991
- Measurement Systems, Doebelin, 1984.

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Nanoparticles (size < 100 nm) and their science and technology play an important role in many industrial, environmental and aerospace systems. For example, they are present as soot particles in hydrocarbon flames, and as metal additives in solid rocket propellants and explosives. This course will cover the basic science of nanoparticle formation, growth, and transport; the electrical and optical properties; the science and engineering of measurement; and the presence and use of nanoparticles in practical systems.

**References/Text Books:**

- Smoke Dust and Haze: Fundamentals of Aerosol Behavior, S. K. Friedlander, Second Edition, 2000.
- Aerosol Science and Technology, I. Agranovski, 2010.
- Aerosol Measurement: Principles, Techniques, and Applications. Second Edition, P. A. Baron, K. Willeke, 2001.
- Aerosol Technology: Properties Behavior, and Measurement of Airborne Particles, Second Edition, W. C. Hinds, 1999.
- Energetic Nanomaterials: Synthesis, Characterization, and Application, V. E. Zarko, A. A. Gormov, 2016.

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Free body diagram, equilibrium equations, examples from three dimensionaltruss problems; bending moment, shear force. Introduction to theory of elasticity,stress, strain, stressstrain relations, constitutive relations, basic equations ofelasticity. Bending of beams, symmetrical and unsymmetrical sections, temperatureeffects, nonhomogeneous materials, modulus weighted sectional properties, thinwalled sections. Deflection of beams.Torsion of circular and noncircular sections,thin walled sections, single and multiple closed cell sections. Shear in thin walledsections, shear center, single and multiple cell sections, combined bending andtorsion. Plane strain and plane stress problems in elasticity. Eulers bucklingof columns.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Free body diagram, equilibrium equations, examples from three dimensionaltruss problems; bending moment, shear force. Introduction to theory of elasticity,stress, strain, stressstrain relations, constitutive relations, basic equations ofelasticity. Bending of beams, symmetrical and unsymmetrical sections, temperatureeffects, nonhomogeneous materials, modulus weighted sectional properties, thinwalled sections. Deflection of beams.Torsion of circular and noncircular sections,thin walled sections, single and multiple closed cell sections. Shear in thin walledsections, shear center, single and multiple cell sections, combined bending andtorsion. Plane strain and plane stress problems in elasticity. Eulers bucklingof columns.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - AE 610A, consent of instructor

**Course Contents:**

Review of classical acoustics: linearized equations of motion; classical wave equation: plane and spherical waves, wave propagation in homogeneous and inhomogeneous media; mod-els for acoustic sound sources: point sources, monopoles, dipoles and quadrupoles,Green’s function solutions for wave equations, Kirchho?–Helmholtz theorem for rigidboundaries. Aeroacoustic sources: Lighthill’s acoustic analogy, integral solutions and far-?eld approximations; e?ect of solid surface: Curle’s theory and Ffowcs Williams–Hawkings’ equation. Computational approaches: numerical aspects; direct methods: Reynolds-averaged Navier–Stokes equations (RANS), direct numerical simulations (DNS), application of large eddy simulations (LES); hybrid methods: ?ow-sound separation, numerical evaluation of Lighthill’s integral.

**References/Text Books:**

- Lecture notes
- Pierce, A D: Acoustics, Acoustical Society of America, 1989.
- Blackstock, D T: Fundamentals of physical acoustics, Wiley, 2000.
- Howe, M S: Hydrodynamics and sound, Cambridge, 2007.
- Howe, M S: Theory of vortex sound, Cambridge, 2003.
- Tam, C K W: Computational aeroacoustics, Cambridge, 2012.
- Rienstra, S W and Hirschberg A: An introduction to acoustics, 2011.
- Crighton, D G: Basic principles of aerodynamic noise generation, Prog. Aerospace Sci., 16(1), 1975, pp. 31-96.
- Crighton, D G, Dowling A P, Ffowcs Williams J E, Heckl M and Leppington F G:

Modern methods in analytical acoustics, Springer, 1992.

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents: **Introduction. Material behaviour of idealized bodies, mathematical preliminaries,tensor analysis, partial derivatives, etc. Analysis of stress and strain measures.Laws of conservation, eqn. of motion, conservation of energy. Thermodynamicand mechanical equilibrium. Constitutive laws : viscoelastic materials.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Introduction. Material behaviour of idealized bodies, mathematical preliminaries,tensor analysis, partial derivatives, etc. Analysis of stress and strain measures.Laws of conservation, eqn. of motion, conservation of energy. Thermodynamicand mechanical equilibrium. Constitutive laws : viscoelastic materials.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Mission analysis, design approaches, analytical techniques, rocket grain analysis,structural types and optimization, honeycomb and sandwich construction,structural materials, aeroelasticity of cylindrical and conical shells, reentryproblems, ablation analysis, design examples, future trends, inflatable andexpandable structure.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Mission analysis, design approaches, analytical techniques, rocket grain analysis,structural types and optimization, honeycomb and sandwich construction,structural materials, aeroelasticity of cylindrical and conical shells, reentryproblems, ablation analysis, design examples, future trends, inflatable andexpandable structure.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - AE 602A, AE 610A, consent of instructor

**Course Contents:**Hydrodynamic stability theory as a basis to study laminar-turbulent transition. Linearized ﬂow equations, normal-mode analysis, the eigen-value problem and instability criteria for temporal, inviscid ﬂows: Rayleigh equation, Fjortoft’s criterion, critical layers, Tollmien’s inviscid solutions, discussion of Kelvin–Helmholtz and other instabilities Viscous stability: Orr–Sommerfeld equations, Tollmien–Schlichting waves, dual role of viscosity, asymptotic solutions for large Re. Spatial stability: Gaster’s transformation, introduction to absolute & convective instability, non-parallel eﬀects, method of multiple scales, secondary instability theories. Weakly non-parallel shear ﬂow instability: parabolized stability equation methods, extensions to include nonlinearity. Nonmodal treatment of hydrodynamic stability: temporal initial-value problem, optimal growth & response.

**References/Text Books:**

- Schmid, P J and Henningson, D S: Stability and Transition in Shear Flows, Springer, 2001.
- Drazin, P G and Reid, W H: Hydrodynamic Stability, Cambridge, 2004.
- Drazin, P G: Introduction to Hydrodynamic Stability, Cambridge, 2002.
- Holmes, M H: Introduction to Perturbation Methods, Springer, 2013.
- Bender, C M and Orszag, S A: Advanced Mathematical Methods for Scientists and Engineers I, Springer, 1999.
- Demmel, J W: Applied Numerical Linear Algebra, SIAM, 1997.
- Whitham, G B: Linear and Nonlinear Waves, Wiley Inter-Science, 1999.
- Current Literature

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Discussion on mathematical models, reliability of computer aided engineeringanalysis. Model problem of linear elastostatics in onedimension, principle ofminimum potential energy, beam bending problem. Finite element discretisationin onedimension. Onedimensional h/p code, Finite Element Formulation anddevelopment of twodimensional code. Convergence analysis in two dimensions.Characterizational of solution smoothness, rate of convergence in energy norm,a posteriori error estimation. Direct computation of stresses and strains,postprocessing, superconvergent extraction techniques, nonlinear and timedependent problems.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Discussion on mathematical models, reliability of computer aided engineeringanalysis. Model problem of linear elastostatics in onedimension, principle ofminimum potential energy, beam bending problem. Finite element discretisationin onedimension. Onedimensional h/p code, Finite Element Formulation anddevelopment of twodimensional code. Convergence analysis in two dimensions.Characterizational of solution smoothness, rate of convergence in energy norm,a posteriori error estimation. Direct computation of stresses and strains,postprocessing, superconvergent extraction techniques, nonlinear and timedependent problems.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Influence coefficients and function. Formulation of static and dynamic aeroelasticequations. Static aeroelasticity; divergence, aileron reversal & controleffectiveness, solutions by matrix and energy methods. Unsteady aerodynamics,oscillating airfoil in incompressible flow, experimental methods, Dynamic aeroelasticity,flutter calculation, panel flutter.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Influence coefficients and function. Formulation of static and dynamic aeroelasticequations. Static aeroelasticity; divergence, aileron reversal & controleffectiveness, solutions by matrix and energy methods. Unsteady aerodynamics,oscillating airfoil in incompressible flow, experimental methods, Dynamic aeroelasticity,flutter calculation, panel flutter.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents: **Introd. Hamiltons principles, Lagranges eqn, Eigenvalue problem (EVP), discrete& continuous system. Boundary value problem formulation. General EVP, positivedefinite system, self adjoint property. Vibration of strings, rods, beams,membranes and plates. Rayleighs quotient. Integral formulation of EVP, naturalmodes of vibration, approximate methods. Response to excitation.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Introd. Hamiltons principles, Lagranges eqn, Eigenvalue problem (EVP), discrete& continuous system. Boundary value problem formulation. General EVP, positivedefinite system, self adjoint property. Vibration of strings, rods, beams,membranes and plates. Rayleighs quotient. Integral formulation of EVP, naturalmodes of vibration, approximate methods. Response to excitation.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Introduction, Definition, classification, behaviors of unidirectional composites:prediction of strength, stiffness, factors influencing strength & stiffness, failuremodes, analysis of lamina; constitutive classical laminate theory, thermalstresses. Design consideration, analysis of laminates after initial failure,interlaminar stresses, fracture mechanics, joints, experimental characterization.Performance under adverse environment.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Introduction, Definition, classification, behaviors of unidirectional composites:prediction of strength, stiffness, factors influencing strength & stiffness, failuremodes, analysis of lamina; constitutive classical laminate theory, thermalstresses. Design consideration, analysis of laminates after initial failure,interlaminar stresses, fracture mechanics, joints, experimental characterization.Performance under adverse environment.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Intro. to probability theory, random process. Excitation response relations forstationary random processessingle and multidegree of freedom system withlinear and nonlinear characteristics, continuous systems. Failure due to randomvibration, application to aero, civil & mechanical systems.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Intro. to probability theory, random process. Excitation response relations forstationary random processessingle and multidegree of freedom system withlinear and nonlinear characteristics, continuous systems. Failure due to randomvibration, application to aero, civil & mechanical systems.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Definition of various terms used for classification of materials. Mechanicalproperties. Testing of aircraft materials. Classification of alloys of aluminium,steel, titanium etc. High temperature problems; aerodynamic heating, designconsiderations, ceramic coating etc. Plastics, fibrereinforced composites,transparent materials.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Definition of various terms used for classification of materials. Mechanicalproperties. Testing of aircraft materials. Classification of alloys of aluminium,steel, titanium etc. High temperature problems; aerodynamic heating, designconsiderations, ceramic coating etc. Plastics, fibrereinforced composites,transparent materials.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Free and forced vibration of discrete multidegree of freedom systems with andwithout viscous damping; impulse and frequency response methods. Continuoussystems; natural modes, free & forced vibration. Random vibrations: intro. toprobability theory, random variables & processes, properties of random processes,response of system to random excitations

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Free and forced vibration of discrete multidegree of freedom systems with andwithout viscous damping; impulse and frequency response methods. Continuoussystems; natural modes, free & forced vibration. Random vibrations: intro. toprobability theory, random variables & processes, properties of random processes,response of system to random excitations

**References/Text Books:**

L-T-P-D-C (3----4)

Pre-requisite - None

**Course Contents:** Historical development, configurations of helicopters, rotor system, flight controlmechanism, momentum theory and blade element theory in hover, vertical flightand forward flight. Idealization of rotor blades, Flaplag and torsional dynamicsof the blade. Trim and equilibrium analysis, aeroelastic stability of rotor blades.Flappitch, lagpitch and flaplag coupling, simple model of rotor fuselagedynamics, longitudinal and lateral stability and control of helicopters.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Historical development, configurations of helicopters, rotor system, flight controlmechanism, momentum theory and blade element theory in hover, vertical flightand forward flight. Idealization of rotor blades, Flaplag and torsional dynamicsof the blade. Trim and equilibrium analysis, aeroelastic stability of rotor blades.Flappitch, lagpitch and flaplag coupling, simple model of rotor fuselagedynamics, longitudinal and lateral stability and control of helicopters. Course Reference :

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** General loads on aircraft, load factor, Vn diagram, effect of gust loading. Energyprinciples, potential and complementary potential; deflection analysis,indeterminate structures. Analysis of plates, Kirchhoff and first order sheardeformation plate theories, buckling of plates, buckling of stiffened plates, localbuckling of composite shapes.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** General loads on aircraft, load factor, Vn diagram, effect of gust loading. Energyprinciples, potential and complementary potential; deflection analysis,indeterminate structures. Analysis of plates, Kirchhoff and first order sheardeformation plate theories, buckling of plates, buckling of stiffened plates, localbuckling of composite shapes.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Rigid body dynamics: Newtons second law, impulse and momentum, momentof a force and angular momentum, work and energy, system of particles, rigidbodies, Eulers equations. Analytical mechanics: degrees of freedom, generalizedcoordinates, virtual work, Hamiltons principle, Lagranges equations.

Linearsystem theory: frequency response, transform methods, transfer function,transition matrix, Eigen value problem, Modal analysis. Lumped parametersystems: single degree of freedom system, two degrees of freedom system,multiple degrees of freedom system. Continuous system: introduction, longitudinal,transverse and torsional vibrations of slender members.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Rigid body dynamics: Newtons second law, impulse and momentum, momentof a force and angular momentum, work and energy, system of particles, rigidbodies, Eulers equations. Analytical mechanics: degrees of freedom, generalizedcoordinates, virtual work, Hamiltons principle, Lagranges equations. Linearsystem theory: frequency response, transform methods, transfer function,transition matrix, Eigen value problem, Modal analysis. Lumped parametersystems: single degree of freedom system, two degrees of freedom system,multiple degrees of freedom system. Continuous system: introduction, longitudinal,transverse and torsional vibrations of slender members.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Introduction to smart materials, piezo, pyro and ferro electric effects; hysteresiseffects:electric field in solids: fundamentals of continuum mechanics; basicconservation laws; thermodynamic principles; constitutive modelling for smartmaterials; electrothermoelastic formulation and analysis of smart structures;control of smart structures; applications to aerospace vehicles.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Introduction to smart materials, piezo, pyro and ferro electric effects; hysteresiseffects:electric field in solids: fundamentals of continuum mechanics; basicconservation laws; thermodynamic principles; constitutive modelling for smartmaterials; electrothermoelastic formulation and analysis of smart structures;control of smart structures; applications to aerospace vehicles.

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Nature of high temperature flows, perfect and real gas, Gibbs free energy andentropy production, microscopic description of gases, thermodynamic properties,equilibirum properties kinetic theory, inviscid high temp. equilibrium and nonequilibriumflow, transport properties

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Nature of high temperature flows, perfect and real gas, Gibbs free energy andentropy production, microscopic description of gases, thermodynamic properties,equilibirum properties kinetic theory, inviscid high temp. equilibrium and nonequilibriumflow, transport properties

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - Linear algebra, basic of control systems and probability theory.

**Course Contents:**

- Introduction and Static optimization - Course introduction: static optimization, optimal control and reinforcement learning; Variational cones, Gâteaux and Fréchet derivatives, Weirstrass Function
- Constrained optimization - Minima and maxima of functions subject to constraints, Lagrange multipliers; Kuhn-Tucker conditions, Minima and maxima of functionals
- Optimal control and HJB equations - Optimal control: Variational Calculus Approach, Euler- Lagrange equation, Brachistochrone problem, Tautochrone problem, Catenary problem, Hamilton- Jacobi-Bellman Equation, LQR, Pontryagin's Minimum Principle, State Dependent Riccati Equation (SDRE)
- Optimal Feedback Control - Optimal Feedback Control, Neighboring Optimal control, Bang-Bang Control, Singular Optimal Control
- Numerical Methods - Two Point Boundary Value Problems (TPBVP) –
- Shooting and Gradient Methods, Model Predictive Static Programming
- Direct Programming - Optimal Control – Direct Methods – Transcription Methods and Nonlinear Programming
- Dynamic programming - Dynamic and Approximate Dynamic Programming, Stochastic Optimal Control
- Reinforcement Leaning - Introduction to Reinforcement Learning, Markov decision process (MDP), Partially observable Markov decision process (POMDP), Model-based methods
- Deep RL - Policy gradient, Value function, actor-critic, deep RL with Q-functions
- Advance topics - Probability and variational inference, and advance topics

**References/Text Books:**

- J.T. Betts, Practical Methods for Optimal Control and Estimation Using Nonlinear Programming, Siam, 2010.
- A.E. Bryson and Y-C Cho, Applied Optimal Control, Taylor and Franics, 1975.
- D.P. Bertsekas, Dynamic Programming and Optimal Control, Vols. I and II, Athena Scientific, 1995.
- D.P. Bertsekas, Reinforcement Learning and Optimal Control, Athena Scientific, 2019.
- R.S. Sutton and A. G. Batro, Reinforcement Learning: An Introduction, MIT press, Cambridge, MA, 2018.
- M.L. Puterman, Markov Decision Processes: Discrete Stochastic Dynamic Programming, Wiley Series in Probability and Statistics, 2005.

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Definition of large deformation of structures as large deflection, large rotation with small strains.Linear and nonlinear structural responses. Theory of elastica with exact and numerical solutions.Elements of large deformation mechanics: Reference and deformed configurations, Lagrangestrain, Cauchy and PiolaKirchoff stress, work conjugate stress and strain measures. Governingequations in strong and weak form. Hyperelastic material constitutive law. Incrementalnumerical solution oflarge deformation boundary value problems: tangent stiffness, explicit andimplicit methods, NewtonRaphson method. Elastic and geometric stiffness. Total Lagrangianmethod. Corotational scheme.

**References/Text Books:**

- JamesF. Doyle. Nonlinear analysis of thin walled structures. Springer Verlag. 2001 .
- M. A. Crisfield. Nonlinear finite element analysis of solids and structures. Vols. I and II. JohnWiley& Sons. 1991 .
- M.A. Biot. Mechanics of incremental deformations. John Wiley& Sons. 1965.

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Definition of large deformation of structures as large deflection, large rotation with small strains.Linear and nonlinear structural responses. Theory of elastica with exact and numerical solutions.Elements of large deformation mechanics: Reference and deformed configurations, Lagrangestrain, Cauchy and PiolaKirchoff stress, work conjugate stress and strain measures. Governingequations in strong and weak form. Hyperelastic material constitutive law. Incrementalnumerical solution oflarge deformation boundary value problems: tangent stiffness, explicit andimplicit methods, NewtonRaphson method. Elastic and geometric stiffness. Total Lagrangianmethod. Corotational scheme.

**References/Text Books:**

Course Reference :

- JamesF. Doyle. Nonlinear analysis of thin walled structures. Springer Verlag. 2001.
- M. A. Crisfield. Nonlinear finite element analysis of solids and structures. Vols. I and II. JohnWiley& Sons. 1991 .
- M.A. Biot. Mechanics of incremental deformations. John Wiley& Sons. 1965.

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Introduction to the course. Fundamentals of acoustics: Derivation of wave equation, speed of sound, harmonic waves, acoustic energy/intensity, decibel scale, acoustic impedance, reflection and transmission at the interface of two media. Wave propagation: Rectangular and circular ducts, cutoff frequency, free field propagation. Acoustics of resonantors: Travelling and standing waves, boundary conditions, eigenfrequency and eigenmodes, effects of area variation, reflection and transmission of waves in pipes. Acoustic sources: Inhomogeneous wave equation, acoustic sources: monopole, bipole & quadrupole sources, acoustic reciprocity, aeroacoustic analogies. Attention of sound: Viscous and thermal conduction losses, absorption coefficient, sound absorption in pipes. Application of principles of acoustics: Aeroacoustic jet noise, combustion instability noise.

**References/Text Books:**

- Lawrence E. Kinsler, Austin R. Frey, and Alan B. Coppens, 2000. Fundamentaals of acoustics, 4th edn. JohnWiley & Sons, Inc.
- Philip M. Morse and K. Uno Ingard, 1986. Fundamentals of acoustics. 1st edn. Priceton University Press.
- S.W. Rienstra & A. Hirschberg, 2000. An introduction to acoustics. http://www.win.tue.nl/sjoerder/papers/boek.pdf
- S.W. Rienstra & A. Hirschberg, 2004. An introduction to aeroacoustics. http://www.win.tue.nl/sjoerder/papers/lesswrmh.pdf

L-T-P-D-C (3-0-0-0-9)

Prerequisite – Undergraduate Mathematics, Fluid Mechanics, Compressible flows

**Introduction:** Unsteady processes and its effects on combustors, combustion noise, combustion instability

**Fundamentals of duct acoustics: ** Derivation of wave equation, speed of sound, harmonic waves, acoustic energy/intensity, decibel scale, acoustic impedance, reflection and transmission, traveling & standing waves, eigenfrequency and eigenmodes, effects of area variation

**Hydrodynamic flow stability of combustor flow fields:** Normal modes in parallel flows: basic formulation, general results for temporal instability, absolute & convective instability, stability analysis in free shear layers, wakes/bluff body flow fields, jets, swirling jets and wakes, backward facing steps and cavities

**Coupling between acoustic field and unsteady flame:** Unsteady heat release rate effects, combustion instability/noise, nonlinear effects and limit cycles

**Network modelling:** Modelling of combustor using acoustic elements, stability analysis, flame dynamics, solving characteristic equations

**Advanced topics:** Indirect combustion noise, non-acoustic instabilities, azimuthal combustion instability

**Text books:**

- Tim C. Lieuwen, 2012. Unsteady combustor physics. 1st edn. Cambridge University Press.
- Wolfgang Polifke, 2004. Combustion instabilities. VKI Lecture Series” Advances in Acoustics and Applications”, March 15th-19th, 2004, Brussels, Belgium https://www.researchgate.net/publication/255738492 Combustion Instabilities
- Lawrence E. Kinsler, Austin R. Frey, and Alan B. Coppens, 2000. Fundamentals of acoustics. 4th edn. John-Wiley & Sons, Inc.

**Reference books:**

- Philip M. Morse and K. Uno Ingard, 1986. Fundamentals of acoustics. 1st edn. Prince- ton University Press.
- S.W. Rienstra & A. Hirschberg, 2000. An introduction to acoustics. http://www.win.tue.nl/ sjo- erdr/papers/boek.pdf
- 3. S.W. Rienstra & A. Hirschberg, 2004. An introduction to aeroacoustics. http://www.win.tue.nl/ sjoerdr/papers/les-swr-mh.pdf

L-T-P-D-C (3----4)

Pre-requisite - None

**Course Contents:** Need and objective, fundamentals of fluid mechanics, wind tunnels, visualization,HWA, pressure and noise measurements, temperature, wall shear stress, flowmeasurements, geophysical flows, spin up and spin down, data acquisition andprocessing, uncertainty analysis.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Need and objective, fundamentals of fluid mechanics, wind tunnels, visualization,HWA, pressure and noise measurements, temperature, wall shear stress, flowmeasurements, geophysical flows, spin up and spin down, data acquisition andprocessing, uncertainty analysis.

**References/Text Books:**

L-T-P-D-C (2-0-3-0-4)

Pre-requisite - None

**Course Contents:** Introduction to VI, typical applications, functional systems, graphical programming,data flow techniques, advantages of VI techniques. VI programming techniques;VIs and subVIs, loops and charts, arrays, clusters and graphs, case and sequencestructures, formula nodes, string and file I/O, DAQ methods, code interfacenodes and DLL links. Sensors, transducers and signal conditioning; commontransducers for displacement, temperature, load, pressure, flow etc. Singleended, floating and differential inputs, grounding, noise and filtering. Dataacquisition basics; AD DAC, DIO, counters and timers, PC Hardware structure,timing, interrupts, DMA, operating system, PCI buses. Bus based instrumentation;instrumentation buses, GPIB, RS232C.

**References/Text Books:**

L-T-P-D-C (2-0-3-0-9)

Pre-requisite - None

**Course Contents:** Introduction to VI, typical applications, functional systems, graphical programming,data flow techniques, advantages of VI techniques. VI programming techniques;VIs and subVIs, loops and charts, arrays, clusters and graphs, case and sequencestructures, formula nodes, string and file I/O, DAQ methods, code interfacenodes and DLL links. Sensors, transducers and signal conditioning; commontransducers for displacement, temperature, load, pressure, flow etc. Singleended, floating and differential inputs, grounding, noise and filtering. Dataacquisition basics; AD DAC, DIO, counters and timers, PC Hardware structure,timing, interrupts, DMA, operating system, PCI buses. Bus based instrumentation;instrumentation buses, GPIB, RS232C.

**References/Text Books:**

L-T-P-D-C (0-0-0-0-0)

Pre-requisite - None

**Course Contents:**

Units : As arranged

**References/Text Books:**

L-T-P-D-C (3-0-0--4)

Pre-requisite - None

**Course Contents:** Overview of nonlinear problems in structural analysis geometric and materialnonlinearities, non linear forces and boundary conditions; nature of forcedeflectioncurves, critical points. Single degree of freedom system withgeometric non linearity Incremental solution, iterative solution using directand Newton Raphson approaches; combined incremental and iterativesolution with full or modified Newton Raphson or initial stress method. One dimensional continuum problem: Axial bar under compression, variousstrain measures, weak and variational formulations based on Green strainmeasure. l D Finite element formulation : Total and Updated Lagrangianapproaches : derivation of stiffness and tangent stiffness matrices, limitpoint and bifurcation; traversal of critical points. Two dimensional problems: Strain measures in two and three dimensions, stress measures ( Cauchyand Piola Kirchhoff), objectivity, Updated Lagrangian formulation stressincrements. 2D Incremental formulation with updates, derivation ofstiffness and tangent stiffness matrices. Advanced Solution Procedures:Line search, arc length quasi Newton and Secant methods.

NonlinearDynamics: Direct Integration techniques : explicit and implicit solutiontechniques. Stability of time integration schemes. Newmarks scheme. The method; energy conserving and automatic time stepping methods.

**References/Text Books:**

- Nonlinear finite element analysis of solids and structures, Vols. I and II, M.A. Crisfield,John Wiley and Sons (1994).
- Finite Element Procedures, K.J. Bathe, Prentice Hall ( 1996).
- Suggested journal papers

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Overview of nonlinear problems in structural analysis geometric and material nonlinearities, non linear forces and boundary conditions; nature of forcedeflectioncurves, critical points. Single degree of freedom system withgeometric non linearity Incremental solution, iterative solution using directand Newton Raphson approaches; combined incremental and iterativesolution with full or modified Newton Raphson or initial stress method. One dimensional continuum problem: Axial bar under compression, variousstrain measures, weak and variational formulations based on Green strainmeasure. l D Finite element formulation : Total and Updated Lagrangianapproaches : derivation of stiffness and tangent stiffness matrices, limitpoint and bifurcation; traversal of critical points. Two dimensional problems: Strain measures in two and three dimensions, stress measures ( Cauchyand Piola Kirchhoff), objectivity, Updated Lagrangian formulation stressincrements. 2D Incremental formulation with updates, derivation ofstiffness and tangent stiffness matrices. Advanced Solution Procedures:Line search, arc length quasi Newton and Secant methods. NonlinearDynamics: Direct Integration techniques : explicit and implicit solutiontechniques. Stability of time integration schemes. Newmarks scheme. The method; energy conserving and automatic time stepping methods.

**References/Text Books:**

Course Reference :

- Nonlinear finite element analysis of solids and structures, Vols. I and II, M.A. Crisfield,John Wiley and Sons (1994).
- Finite Element Procedures, K.J. Bathe, Prentice Hall ( 1996).
- Suggested journal papers

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Mathematical Preliminaries: Tensor algebra; tensor calculus; covariant and contravari-ant tensors; gradient, divergence and curl operators; divergence and Stokes’ theorem; localization theorem.

Kinematics & Kinetics: Configurations; motion; deformation and velocity gradients; po-lar decomposition; rate of deformation and spin tensors (vorticity); Strain definitions, Cauchy tetrahedron; definitions of stress.

Balance laws: Transport theorem; mass, momentum and energy balance; Clausius-Duhem inequality; control mass and volume systems; principle of virtual work & power; local forms.

Elasticity: Hyperelasticity; objectivity; material symmetry.

Viscous Flow: Constitutive models; Navier-Stokes, vorticity transport, ideal flow equa-tions; exact solution of flow problems.

**Course References/Text Books:**

Textbooks :

- Introduction to the mechanics of a continuous media, L. E. Malvern.
- An introduction to continuum mechanics, M. Gurtin

Reference Books :

- Fundamentals of continuum mechanics, S. Bechtel
- Fluid Mechanics, J. H. Spurk & N. Aksel, Springer
- An Introduction to Fluid Dynamics, G. K. Batchelor, Cambridge

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Bisection, secant; Newton-Raphson; roots of polynomials; numerical integration Taylor series.

Trapezoidal; Simpson’s; Romberg; Gauss-Legendre.

Solution of simultaneous equations (LU factorization, pivoting, Cholesky factorization); eigenvalues (Jordan forms, Schur factorization, tridiagonal or Hessenberg forms); overview of some iterative algorithms.

Classification of 2nd order partial differential equations (PDEs), initial and boundary value problems; one dimensional examples.

Taylor series; Explicit & implicit Euler schemes; Runge-Kutta methods; multistep methods (Adams-Bashforth, Crank-Nicolson, predictor-corrector, etc); accuracy & sta-bility.

Shooting & relaxation methods; Spatial discretization via finite-differences: forward, backward, central differences, higher and mixed derivatives, non-uniform grids, imple-mentation of boundary conditions, von Neumann error analysis, matrix derivative oper-ators, compact differences.

Introduction, node & cell-centered control volumes, cell-centered average scheme, three-dimensional FVM equations.

Spectral element; least squares.

Weak form, Galerkin method, interpolation functions, isoparametric elements, interpo-lation error.

**Course References Books:**

- Numerical Methods for Engineers, S. C. Chapra and R. C. Canale.
- An Introduction to Numerical Analysis, K. E. Atkinson.
- Numerical recipes: The art of scientific computing, W. H. Press, S. A. Teukolsky, W. T. Vetterlin and B. P. Flannery.
- Advanced Engineering mathematics, E. Kreyszig.
- Computational Fluid Dynamics, T. J. Chung.
- An Introduction to Finite Element Method, J. N. Reddy.
- Computational Fluid Dynamics: The Basics with Applications, J. D. Anderson.
- Computational Methods for Fluid Dynamics, J. H. Ferzziger and M. Peric.
- An Introduction to Computational Fluid Dynamics, K. Versteeg and W. Malalasekera

L-T-P-D-C (3-0-0-0)

Pre-requisite – Solid Mechanics/Continuum Mechanics or equivalent courses

**Course Contents:**

Mechanics of deformation- Engineering materials, elastic, plastic and viscoelastic response of engineering solids, effect of temperature, strain rate and cyclic loading on mechanical behavior of materials

Deformation at microscale - Deformation in single crystal, dislocation theory, strengthening mechanisms, deformation mechanisms in polymers and composites

Fracture and fatigue - Fundamentals of fracture mechanics, microstructural aspects of fracture, fractography, crack growth in metals, polymers and composites, fatigue crack propagation

**References/Text Books:**

- Deformation and fracture mechanics of engineering materials, R. W. Hertzberg, Wiley & Sons
- Mechanical behavior of materials, Marc Meyers and Krishan Chawla, Cambridge Univ Press
- Mechanical Metallurgy, George E. Dieter, McGraw Hill Education
- Mechanical Behavior of Materials, N. E. Dowling, Pearson, Prentice Hall
- Mechanics of fibrous composites, C. T. Herakovich
- Fracture Mechanics, C. T. Sun, Z. H. Jin, Elsevier Publications
- Fracture Mechanics, T. L. Anderson, CRC Press
- Fracture mechanics of polymers, J. G. Williams, Ellis Horwood Ltd.

L-T-P-D-C (2-0-3-0)

Pre-requisite -

- Solid Mechanics or equivalent (compulsory)
- Composite Materials and Fracture Mechanics or with instructor’s approval

**Course Contents:**

Basics of elasticity and fracture Mechanics – Engineering materials - metals, polymers and polymer composites; stress, strain and constitutive relationship; laminate theory; stress field around crack-tip, fracture parameters; characterizing elastic, interfacial and fracture parameters; scatter and variability analysis

Conventional measurement techniques - Sensors and transducers for measuring force, displacement and acceleration; strain gages and extensometer; electrical resistance strain gages - measurement principle, error analysis and applications

Optical metrology – Photoelasticity; interferometry; laser spallation; digital image correlation

**References/Text Books:**

- Experimental Stress Analysis, J. W. Dally and W. F. Riley
- Handbook of Experimental Mechanics, W. N. Sharpe (Jr.)
- Engineering Mechanics of Composite Materials, I. M. Daniel and O. Ishai
- Fracture Mechanics, P. Kumar
- Optical Methods of Engineering Analysis, G. Cloud

L-T-P-D-C (3-0-0-0)

Pre-requisite - Solid Mechanics/Continuum Mechanics or equivalent courses

**Course Contents:**

Overview of stress and strain analysis in solids

Basics of optics - Wave equation, spherical and plane waves; Interference, coherence, Newton’s rings, Young’s fringes; Diffraction and Fourier optics, Fresnel-Kirchhoff and Fraunhofer diffraction, Gratings

Photoelasticity – Birefringence, stress-optics law, Plane and Circular Polariscope, Isoclinic and Isochromatic fringes

Interferometry – Moiré Interferometers; Michelson, Laser Doppler and Twymann-Green Interferometers, Mach-Zehnder Interferometry; Lateral shearing (Coherent Gradient Sensing) Interferometer

**References/Text Books:**

- Optical Metrology, K. J. Gasvik, John Wiley & Sons, Ltd.
- Optical Methods of Engineering Analysis, G. Cloud, Cambridge U. Press
- Experimental Stress Analysis, J. W. Dally & W. F. Riley, College House, Ent.
- Handbook of Experimental Mechanics, A. S. Kobayashi, Prentice Hall
- Engineering Optics, K. Iizuka, Springer

Lecture Notes: H. V. Tippur, Auburn University, Auburn USA, P. Venkitnarayanan, IITK

L-T-P-D-C ( all lectures )

Pre-requisite – ESO204, ESO201, Compressible Aerodynamics/Aerodynamics II

**Course Contents:**

Introduction to hypersonic flows

- Hypersonic flow – introduction
- Some historical facts on hypersonic flights
- Hypersonic flight path

Inviscid hypersonic flows

- Hypersonic shock and expansion wave relations
- Local surface inclination methods – Newtonian, modified Newtonian, tangent wedge, tangent cone, shock-expansion methods
- Approximate methods – Governing equations, Mach number independence, hypersonic similarity, hypersonic small disturbance theory, thin shock layer theory

Viscous Hypersonic flows

- Governing Equations for viscous flows
- Boundary layer equations, boundary conditions, similarity parameters
- Self-similar solutions; flat plate case, stagnation point case
- Hypersonic Aerodynamic heating
- Hypersonic viscous interaction

Hypersonic Experimentation

- Hypersonic test facilities – hypersonic wind tunnels, shock tunnels, expansion tubes/tunnels, instrumentation

Introduction to Scramjet

- Scramjet – what it is, why it is required, some test flight cases

**References/Text Books:**

- Anderson J. D, Hypersonic and High Temperature Gas dynamics, Mc-Graw Hill 1989.
- John J. Bertin, Hypersonic Aerothermodynamics, AIAA education Series, 1994
- Cherynl C.G., Introduction to Hypersonic flow, Academic Press, 1961.
- Hayes W.D. and Problein R.F., Hypersonic Flow Theory, Academic Press, 1959.
- Cox R.N. and Crabtree L.P., Elements of Hypersonic Aerodynamics, 1965.

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** The molecular model; binary elastic collisions: basic kinetic theory; referencestates & boundary conditions; collisionless flow; transition regime flows. Directsimulation Monte Carlo method. One dimensional flows of a simple monatomicgas. Measurements in low density flows.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** The molecular model; binary elastic collisions: basic kinetic theory; referencestates & boundary conditions; collisionless flow; transition regime flows. Directsimulation Monte Carlo method. One dimensional flows of a simple monatomicgas. Measurements in low density flows.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Introduction to atomization, Physical processes in atomization, Types of atomizers,Classical Theories of atomization, Numerical modeling of atomization process,Theory of multiphase flows, Atomizer design: Single Fluid and Twin Fluid, SprayCharacterization Measurement techniques in Spray Characterization, Applicationsof Atomizers Metal forming Chemical Industry Combustion.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents: **Course Details: Introduction to atomization, Physical processes in atomization, Types of atomizers,Classical Theories of atomization, Numerical modeling of atomization process,Theory of multiphase flows, Atomizer design: Single Fluid and Twin Fluid, SprayCharacterization Measurement techniques in Spray Characterization, Applicationsof Atomizers Metal forming Chemical Industry Combustion.

**References/Text Books:**

L-T-P-D-C (3-0-0-4-4)

Pre-requisite - None

**Course Contents: **

- Wave theory of sound: Plane waves, Harmonic waves and complex Algebra, Speed ofsound, Energy, Intensity and Power, Spherical waves
- b. Quantitative measurement of sound: Frequency content and bands, Decibel scale,Multiple frequency signals, coherence, Frequency domain representation of transientsignals
- c. Propagation of Plane waves: Reflection from a rigid surface, Propagation in a tube,Radiation due to waves on the wall, Oblique reflection and transmission at a planarinterfaced.
- Radiation from Vibrating Bodies: Oscillating spheres, Monopoles and Multipoles.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents: **Wave theory of sound: Plane waves, Harmonic waves and complex Algebra, Speed ofsound, Energy, Intensity and Power, Spherical wavesb. Quantitative measurement of sound: Frequency content and bands, Decibel scale,Multiple frequency signals, coherence, Frequency domain representation of transientsignalsc. Propagation of Plane waves: Reflection from a rigid surface, Propagation in a tube,Radiation due to waves on the wall, Oblique reflection and transmission at a planarinterfaced. Radiation from Vibrating Bodies: Oscillating spheres, Monopoles and Multipoles.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents: **Introduction to combustion : Types of flames, role of chemical kineticsChemical Kinetics : Formulation of chemical kinetics equations, reactionmechanisms, steady state approximation, Arrhenius Law : Formulation ofArrhenius law, Microscopic consideration of reaction rates. Explosions : Thermalexplosions, Chain branching explosions, Chemical equilibrium Conservationequations for reacting flows : Shvab Zeldovich formulation. Laminar premixedcombustion : Flame speed Thermal theory (Mallard and Le Chatellier), DiffusionTheory (Zeldovich, Frank Kamenstakii and Semenov), Flame stabilization,Quenchingt and Flammability limits micro combustion. Detonation andDeflagration : Chapman Hugoniot relations, Chapman Jouguet points Liminarnon premixed conbustion: Burke Schuman Analysis, Phenomenological AnalysisIgnition, Extinction and Flammability. Turbulet premixed combustion : Theories,Time and length scales, thin flame approach, stirred reactor. Turbulent nonpremixedcombustion : Conserved scalar approach, two variable approach,flamelet model, direct closure.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Introduction to combustion : Types of flames, role of chemical kineticsChemical Kinetics : Formulation of chemical kinetics equations, reactionmechanisms, steady state approximation, Arrhenius Law : Formulation ofArrhenius law, Microscopic consideration of reaction rates. Explosions : Thermalexplosions, Chain branching explosions, Chemical equilibrium Conservationequations for reacting flows : Shvab Zeldovich formulation. Laminar premixedcombustion : Flame speed Thermal theory (Mallard and Le Chatellier), DiffusionTheory (Zeldovich, Frank Kamenstakii and Semenov), Flame stabilization,Quenchingt and Flammability limits micro combustion. Detonation andDeflagration : Chapman Hugoniot relations, Chapman Jouguet points Liminarnon premixed conbustion: Burke Schuman Analysis, Phenomenological AnalysisIgnition, Extinction and Flammability. Turbulet premixed combustion : Theories,Time and length scales, thin flame approach, stirred reactor. Turbulent nonpremixedcombustion : Conserved scalar approach, two variable approach,flamelet model, direct closure.

**References/Text Books:**

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:** Introduction, Governing equations, Statistical description of turbulence, Turbulent scales andcorrelations, Reynoldsaveraged equations, Mixing, Flows with premixed and nonpremixedreactants, Numerical and experimental methods for reacting flows.Introduction Motivation and objective Governing equationsTurbulence Introduction Turbulent scales Spatial and temporal correlations Reynoldsaveraged equations Wallbounded shear flows Free shear flows Statistical descriptionTurbulence modeling and Mixing Introduction Turbulence modeling Molecular mixing Turbulent mixing Reactiondiffusion systemsFlows with premixed and nonpremixed reactants Introduction to premixed and nonpremixed mixtures Moment methods Wellstirred reactor Conserved scale methodsNumerical and experimental methods for Reacting flows Combustion CFD Numerical solvers for stiff differential equations General concepts about experimental methods Measurement techniques

**References/Text Books:**

- A first course in Turbulence, Tennekes and Lumley
- An introduction to combustion, Stephen Turns
- Turbulent Combustion, N. Peters
- Combustion Theory, F. Williams
- Theoretical and Numerical Combustion, Poinsot and Veynante

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:** Introduction, Governing equations, Statistical description of turbulence, Turbulent scales andcorrelations, Reynoldsaveraged equations, Mixing, Flows with premixed and nonpremixedreactants, Numerical and experimental methods for reacting flows.Introduction Motivation and objective Governing equationsTurbulence Introduction Turbulent scales Spatial and temporal correlations Reynoldsaveraged equations Wallbounded shear flows Free shear flows Statistical descriptionTurbulence modeling and Mixing Introduction Turbulence modeling Molecular mixing Turbulent mixing Reactiondiffusion systemsFlows with premixed and nonpremixed reactants Introduction to premixed and nonpremixed mixtures Moment methods Wellstirred reactor Conserved scale methodsNumerical and experimental methods for Reacting flows Combustion CFD Numerical solvers for stiff differential equations General concepts about experimental methods Measurement techniques

**References/Text Books:**

- A first course in Turbulence, Tennekes and Lumley
- An introduction to combustion, Stephen Turns
- Turbulent Combustion, N. Peters
- Combustion Theory, F. Williams
- Theoretical and Numerical Combustion, Poinsot and Veynante

L-T-P-D-C ()

Pre-requisites

**Course Content:** Introduction, fundamentals of deflagrations, detonations and explosions, gas dynamic theory of detonations and deflagrations, applications – detonation based futuristic propulsion systems, dynamics of detonation products, the laminar structure of detonations, unstable detonations, influence of boundary conditions, deflagration-to-detonation transition, direct initiation of detonations, explosion physics -catastrophic accidents to the creation of the universe.

**Suggested text and reference material:**

- The Detonation Phenomenon, J.H.S. Lee
- Compressible flow, Anderson
- Compressible flow, Shapiro
- Numerical Simulation of Reactive Flow, Elaine S. Oran and Jay P. Boris

L-T-P-D-C (3-0-0-0-4)

Pre-requisite - None

**Course Contents:**

- Control Systems (Basic definitions, notation, tracking systems.)
- Guidance and navigation(Basic concepts, linear regulation and tracking, proportional navigation, crossproduct steering). Optimal control techniques (Multivariable optimization, constrained minimization, optimal control of dynamic systems, Hamiltonian and the minimum principle, HamiltonJacobiBellman formulation, endpoint constraints, EulerLagrange formulation, twopoint boundaryvalue solution techniques, optimal terminal control with interior constraints, singular control, neighbouring extremals, linear optimal control, stochastic systems, Kalman filtering, LQG/LTR and Hinfinity robust optimal control.)
- Optimal guidance and control of rocket flight (Terminal guidance of interceptors, nonplanar tracking systems (3DPN),Goddards problem, 2PBVP solutions for gravityturn trajectories, attitude autopilots, pitch maneuver control of launch vehicles.)
- Optimal spacecraft navigation and control (Introduction to orbital mechanics, HillClohesseyWiltshire model, autonomous rendezvous and docking, minimum energy transfer, Lamberts problem, optimal guidance of reentry vehicles, nonplanar orbital regulation, optimal threeaxis control by thrusters, reaction wheels and control moment gyros.)

**References/Text Books:**

- Tewari, A., Advanced Control of Aircraft, Spacecraft, and Rockets, John Wiley &Sons, Chichester, 2011.
- Tewari, A., Atmospheric and Space Flight Dynamics, Birkhuser, Boston, 2006.
- Bryson, A.E., Jr., and Ho, Y.C., Applied Optimal Control. Hemisphere, 1975.
- Athans, M., and Falb, P.L., Optimal Control. Dover, 2007.

L-T-P-D-C (3-0-0-0-9)

Pre-requisite - None

**Course Contents:**

- Control Systems (Basic definitions, notation, tracking systems.)
- Guidance and navigation(Basic concepts, linear regulation and tracking, proportional navigation, crossproduct steering). Optimal control techniques (Multivariable optimization, constrained minimization, optimal control of dynamic systems, Hamiltonian and the minimum principle, HamiltonJacobiBellman formulation, endpoint constraints, EulerLagrange formulation, twopoint boundaryvalue solution techniques, optimal terminal control with interior constraints, singular control, neighbouring extremals, linear optimal control, stochastic systems, Kalman filtering, LQG/LTR and Hinfinity robust optimal control.)
- Optimal guidance and control of rocket flight (Terminal guidance of interceptors, nonplanar tracking systems (3DPN),Goddards problem, 2PBVP solutions for gravityturn trajectories, attitude autopilots, pitch maneuver control of launch vehicles.)
- Optimal spacecraft navigation and control (Introduction to orbital mechanics, HillClohesseyWiltshire model, autonomous rendezvous and docking, minimum energy transfer, Lamberts problem, optimal guidance of reentry vehicles, nonplanar orbital regulation, optimal threeaxis control by thrusters, reaction wheels and control moment gyros.)

**References/Text Books:**

Textbook: Tewari, A., Advanced Control of Aircraft, Spacecraft, and Rockets, John Wiley &Sons, Chichester, 2011.

References:

- Tewari, A., Atmospheric and Space Flight Dynamics, Birkhuser, Boston, 2006.
- Bryson, A.E., Jr., and Ho, Y.C., Applied Optimal Control. Hemisphere, 1975.
- Athans, M., and Falb, P.L., Optimal Control. Dover, 2007.

L-T-P-D-C (-0-0--)

Pre-requisite - None

**Course Contents:**

Units : As arranged

**References/Text Books:**

L-T-P-D-C (3-1-0-1-4)

Pre-requisite - None

**Course Contents:** Free body diagram with examples on modelling of typical supports and joints,Conditions for equilibrium in 3D and 2D, Friction: limiting and nonlimiting cases; Forcedisplacementrelationship and geometric compatibility (for small deformations) with illustrations through simpleproblems on axially loaded members and thinwalled pressure vessels; Concept of stress at a point,Plane stress case: transformation of stresses at a point, principal stresses and Mohr's circle,Displacement field, Concept of strain at a point, Plane strain case: transformation of strain at a point,principal strains and Mohr's circle, Strain Rosette; Discussion of experimental results on 1D materialbehaviour, Concepts of elasticity, plasticity, strainhardening, failure (fracture/yielding), Idealization of1D stressstrain curve, Generalized Hooke's law (without and with thermal strains) for isotropicmaterials, Complete equations of elasticity; Force analysis (axial force, shear force, bending moment,and twisting moment diagrams) of slender members (singularity functions nat to be used); Torsion ofcircular shafts and thinwalled tubes ( plastic analysis and rectangular shafts not to be discussed);Moment curvature relationship for pure bending of beams with symmetric crosssection, bending stress,shear stress (Shear centre and plastic analysis not to be discussed); Cases of combined stresses, Conceptof strain energy, Yield criteria; Deflection due to bending, Integration of the momentcurvaturerelationship for simple boundary conditions, Method of superposition (singularity functions not to beused); Strain energy and complementary strain energy for simple structural elements (those under axialload, shear force, bending moment, and torsion), Castigliano's theorems for deflection analysis andindeterminate problems; Concept of elastic instability, Introduction to column buckling, Euler's formula(postbuckling behaviour not to be covered)

**References/Text Books:**

- Crandall, S.H., Dahl, N.C., and Lardner, T. J., An Introduction to the Mechanics of Solids, McGrawHill,Second Ed. with 51 Units, 1978.
- Beer, F.P, Johnston, E.R. and DeWolf, J.T., Mechanics of Materials, Tata McGrawHill Edition2004
- Meriam, J.L. and Kraige, L.G., Engineering Mechanics, Vol. 1: Statics, John Wiley,Second Ed. with 51 Units, 1980.
- Popov, E.P., Engineering Mechanics of Solids, PrenticeHall, First Ed., 1990