ME666A

INVISCID FLOWS

Credits:

 

 

3-0-0-9

 

Course Content:


Vorticity, vorticity equation, Kelvin’s theorem, Helmholtz laws, kinematic decomposition of velocity fields, uniqueness of solenoidal and irrotational velocity fields, superposition of irrotational flows, complex analysis, conformal transformations, finite wings, three-dimensional potential flows, unsteady potential flows, virtual mass, cavitation, bubble dynamics, interfacial and free-surface waves, bores and hydraulic jumps.

No. of Lectures (40 Lectures)


I. Introduction(1 lecture):

  • Continuity equation, Navier-Stokes equations, Bernoulli equation

II. Vorticity dynamics (12 Lectures):

  • Vorticity, vortex lines and tubes, vorticity equation, circulation, Kelvin’s circulation theorem, Helmholtz laws, creation of vorticity, Helmholtz’s kinematic decomposition, Biot-Savart law, inviscid motion of point vortices, line and sheet vortices, image vorticity, vortex momentum, uniqueness of solenoidal and irrotational velocity fields in singly- and multiply-connected domains, Kelvin’s minimum energy theorem, superposition of irrotational flows

III. Potential flows (17 Lectures):

  • Stream function and velocity potential, complex analysis, standard flow patterns, circle theorem, Blasius integral laws, conformal transformations, Jowkowski transformation, introduction to thin-airfoil theory, finite wings, introduction to lifting-line theory, Schwarz-Christoffel theorem, axisymmetric and three-dimensional potential flows, sphere theorem, nature of 3D far-fields, unsteady potential flows, virtual mass

IV. Elements of bubble dynamics (3 Lectures):

  • Rayleigh equation, Rayleigh-Plesset equation, cavitation and bubble collapse

V. Interfacial waves and free-surface flows (7 Lectures):

  • Small amplitude waves at free surfaces and interfaces, non-linear theory of shallow-water waves, method of characteristics, bores and hydraulic jumps

Target audience:

  1. PG and 3rd, 4th year UG students

Suggested Readings:

  1. Milne-Thomson, L. M. “Theoretical Hydrodynamics”, 5th Ed., Dover

  2. Milne-Thomson, L. M. “Theoretical Aerodynamics”, 4th Ed., Dover

  3. Vallentine, H. R. “Applied Hydrodynamics”, 2nd Ed., Butterworths

  4. Batchelor, G. K. “Introduction to Fluid Dynamics”, 1st Indian Ed., Foundation Books

  5. Panton, R. L. “Incompressible Flow”, 3rd Ed., Wiley

  6. Lighthill, J. “An Informal Introduction to Theoretical Fluid Mechanics”, Oxford Clarendon

  7. Currie, I. G. “Fundamental Mechanics of Fluids”, 4th Ed., CRC Press

 

ME674A

FLUID MECHANICS OF FLAPPING FOILS

Credits:

 

3*L-T-P-A: (9 Credits)

Per Week Lectures:

 

3 (L, 50 min. each), Tutorial: 0 (T), Laboratory: 0 (P), Additional Hours [0-2]: 0 (A)

Duration of Course:

 

Full Semester)

Proposing Department:

 

Mechanical Engineering

Other departments which may be interested:

 

Aerospace Engineering, Chemical Engineering, Civil Engineering

Proposing Instructor:

 

Dr. Sachin Shinde

Other faculty interested in teaching the proposed course:

 

Dr. Pranav Joshi (ME department)

Course Description:

 

(a) Course objective: To develop the understanding of fluid mechanics of flapping foils which serve as the major thrust and lift generating appendages in swimming and flying animals, and their applications for biomimetic propulsion.

 

(b) Condensed Syllabus: Flapping foils in nature, airfoil theory, vortex dynamics, governing equations and parameters, kinematics, vortex wakes, drag to thrust transition, thrust by forward moving foils, unsteady actuator disk theory, efficiency estimates, scaling laws, thrust generation in quiescent ambient, deflected wakes, unsteady mechanisms, flexible flapping foils, fluid-flexible-structure interaction, 3D foils, foils in tandem, biomimetic applications.

Lecture-wise Break-up: (assuming 50 minutes lectures, total 40 Lectures)

Introduction and Fundamentals: (8 Lectures)
Flapping foils in nature; Why flapping foils?; Historical development; Vortex dynamics; Airfoil theory; Flapping foil terminologies; Fixed, Rotary Versus Flapping foils.
Thrust and Lift Generation by Flapping Foils: (15 Lectures)
Self-propelling bodies; Governing equations and parameters; Kinematics; Vortex wakes; Drag-thrust transition; Force prediction for forward moving foils; Simplified aerodynamics models; Unsteady actuator disk theory; Scaling laws; Thrust, power and efficiency estimates; Parametric study; Thrust generation in quiescent ambient; Wake deflection.
Unsteady Mechanisms: (6 Lectures)
Unsteady mechanisms for thrust and lift enhancement; Dynamic stall; Leading edge vortices; Rapid pitch-up; Wake capture; Clap and Fling; Wagner effect.
Flapping Flexible Foils: (8 Lectures)
Flexible foils in nature; Structural models; Scaling parameters; Flow-Flexible-Structure coupling; Chordwise and spanwise flexibility; Mechanisms of flow and force generation; Suppressing jet deflection; Optimal flexibility; Flexible Versus Rigid foils.
Biomimetic Propulsion and Other Topics: (3 Lectures)
Flapping foils as propulsive mechanism; Biomimetic applications in Micro Aerial Vehicles (MAVs) and Autonomous Underwater Vehicles (AUVs); Flapping foils for air & aquatic vessels; 3-D foils; Foils in tandem; Experimental techniques; Simulations; Robotic fish, bird, insect models.

 

(c) Prerequisite: Basic fluid mechanics, basic ordinary and partial differential equations.
Desirable: ME231, ME681, ME631 (or equivalents)
Target audience: PG and 3rd, 4th year UG students.

Books / References:

  1. An introduction to flapping wing aerodynamics – W. Shyy, H. Aono, C. Kang, H. Liu (Cambridge Aerospace Series, 2013)
  2. Fluid Mechanics – F. M. White (Tata McGraw Hill, 2008)
  3. Fundamentals of Aerodynamics – J. D. Anderson Jr. (Tata McGraw Hill, 2005)
  4. Vortex dynamics – P. G. Saffman (Cambridge University Press, 1992)
  5. Aerodynamic Theory – W. F. Durand (Julius Springer, 1935)

 

Compulsory courses of SMD

MTech students
- A registered student requires at least 8 courses
- “ME681A – Mathematics for Engineers” is compulsory for all students
- All course from the list below:

  1. ME621A – Introduction to solid mechanics
  2. ME625A – Applied dynamics and vibrations

 

MS students
- A registered student requires at least 5 courses
- “ME681A – Mathematics for Engineers” is compulsory for all students
- Any 1 course from the list below

  1. ME621A – Introduction to solid mechanics
  2. ME625A – Applied dynamics and vibrations

Compulsory courses of FTS

MTech students
- A registered student requires at least 8 courses
- “ME681A – Mathematics for Engineers” is compulsory for all students
- All course from the list below:

  1. ME631A – Viscous flow theory
  2. ME641A – Conduction and radiation
  3. ME642A – Convective heat and mass transfer

 

MS students
- A registered student requires at least 5 courses
- “ME681A – Mathematics for Engineers” is compulsory for all students
- Any 1 course from the list below

  1. ME631A – Viscous flow theory
  2. ME641A – Conduction and radiation
  3. ME642A – Convective heat and mass transfer
 

Undergraduate Projects

 

 

Internal Nano-Polishing of Micro-Tubes using Ferrofluids

 

Students
Piyush Jain
Navneet Singh
Varun Rai

 

Supervisor
Dr. S. Khandekar
 

 

 

Pipe Traversing Robot

 

Students
Mukund Tibrewal
Ghanshyam Lal Dhakar
Maitrey Sinha

 

Supervisor
Dr. Ashish Dutta
 

 

 

Currency Identification and Verification Device

 

Students
Anuj Kumar
Ashwinin Roy
Akshay Kumar Porwal

 

Supervisor
Dr. Sumit Basu
 

 

 

Pedal Powered Washing Machine

 

Students
Utkarsh Srivastava
Gautam Pratap Singh
Sanny Kumar

 

Supervisor
Dr. S. K. Choudhury
 

 

 

Thermosyphonic Water Purification System

 

Students
S. Gautham Raj
Manas Bharti
Manish Kumar Awadhiya

 

Supervisor
Dr. K. Muralidhar
 

 

 

Electromagnetic abrasive finishing machine

 

Students
Anuj rai
Vikas Bishnoi
Vineet Kumar Singh

 

Supervisor
Dr. J. Ramkumar