Fluid Mechanics




2L-1T-0P-0A (8 Credits)



The course will provide the necessary background, tools and techniques needed in the first-level analysis of fluid flow and its applications.

Course content

Introduction, Fluid Statics, Kinematics of local fluid motion, Integral relations for fluid control volume, Differential relations for a fluid element, Viscous flow, Dimensional Analysis and similarity, Flow Past immersed bodies, Compressible flow.

Total number of lectures: 28

Lecturewise breakup

1. Introduction: 1 Lecture

  • History and importance of fluid mechanics

  • Fluid as a continuum

  • Mechanical response of a fluid region

  • Thermodynamic properties

  • Viscosity and other related properties

2. Fluid Statics: 6 Lectures + 2 Tutorials

  • Pressure and pressure gradient

  • Pressure force on a fluid element

  • Equilibrium of a fluid element

  • Hydrostatic forces on plane and curved surfaces

  • Buoyancy and stability

  • Pressure distribution in rigid body motion and in uniform rotation

  • Manometry; velocity and pressure measurement

3. Kinematics of local fluid motion: 2 Lectures + 1 Tutorial

  • Lagrangianand Eulerian description of fluid flow

  • Acceleration and substantial derivative, Streamlines

  • Streamlines, Streaklines, Pathlines

4. Integral relations for fluid control volume: 4 Lectures + 2 Tutorials

  • Control volume

  • Physical laws of fluid motion

  • Reynolds transport theorem

  • Conservation of mass

  • Linear momentum equation; Examples related to force calculations

  • Angular momentum equation; Examples related to rotary devices

  • Energy equation; Friction losses; Bernoulli equation

5. Differential relations for a fluid element: 2 Lectures + 1 Tutorial

  • Acceleration of a fluid particle

  • Differential relation of mass conservation

  • Incompressible and compressible flow

  • Fully developed flow

6. Viscous flow: 5 Lectures + 2 Tutorials

  • Flow in circular pipes, Reynolds number regimes, Laminar and turbulent flow

  • Effect of rough walls; Moody’s chart

  • Major and minor losses in pipe systems

  • Evaluation of losses using correlations and charts, Hydraulic diameter, Flow through pipes and pipe networks with built-in pumps and turbines

  • Flow between reservoirs

  • Orifice and venturi flow meters.

7. Dimensional analysis and similarity: 3 Lectures + 1 Tutorial

  • Model versus prototype

  • Scaling parameters; Scaling laws; Nondimensional form

  • Buckingham-pi theorem

  • Problem-solving using non-dimensionalization

8. Flow past immersed bodies: 2 Lectures + 1 Tutorial

  • Qualitative description of boundary-layers

  • Flow separation

  • Streamlined and bluff bodies

  • Lift, drag, and pitching moment

  • Flow control

9. Compressible flow: 5 Lectures + 2 Tutorials

  • High speed gas flow, speed of sound

  • One-dimensional form of the governing equations

  • Isentropic gas relationscks

  • Velocity measurement using a pitot tube at all Mach numbers

  • Flow through nozzles, Area-velocity relations, Converging-diverging nozzle

  • Non-ideal flow, Formation of shocks; Shock tables

  • Mach cone, Oblique shock, Prandtl-Meyer expansion

Recommended books


    1. Cengel, Y. and Cimbala, J., Fluid Mechanics: Theory and Applications, McGraw-Hill Education, 4th ed.

Reference books

    1. Frank M. White, H Xue, Fluid Mechanics, McGraw-Hill, 9th ed.

    2. Fox, R.W., McDonald, A.T., and Pritchard, P.J., Introduction to Fluid Mechanics, Wiley, 8th ed.

Any other remarks

Two-three tutorials may be reserved for fluid mechanics videos related to viscosity, boundary-layers, streamlining, laminar versus turbulent flow, and compressible flow in nozzles.

Proposing instructors: P. K. Panigrahi, A. K. Saha and K. Muralidhar