Course | Postgraduate |
Semester | Sem. I |
Subject Code | AE621 |
Subject Title | Fluid Dynamics |
Basic Concepts, definition and properties of Fluids, Fluid as continuum, Lagrangian and
Eulerian, Fundamentals and description, Velocity and stress field, Fluid Kinematics.
Governing Equations: Reynolds transport theorem, Integral Formulation of Conservation Laws,
of Fluid Motion, Differential forms of governing equations: mass, and momentum conservation
equations, Navier-Stokes equations, The Vorticity Equation, Euler’s equation, Bernoulli’s
Equation.
Incompressible Steady Flow between Parallel Plates, Steady Axisymmetric Flows, Steady
Axisymmetric Viscous Flows and Torsional Flows, Steady Two-Dimensional Rectilinear Flows,
The Hele-Shaw Flow, Non-Newtonian Flow through a Circular Tube.
Incompressible Impulsively Started Plate: Stokes’ First Problem, Diffusion of a Vortex Transient
Sheet, Decay of a Line Vortex, Start-up of Plane Couette Flow, Channel Flow Viscous Induced
by Movement of Walls, Pipe Flow Induced by Movement of Wall, Starting Flows, Flow between
Parallel Plates due to Pressure Gradient, Starting Flow in a Long Circular Tube due to
Pressure Gradient, Flow Inside an Impulsively Rotated Cylinder, Flow due to Oscillating Plate
(Stokes’ Second Problem)
Laminar Boundary layer equations: Boundary layer thickness, Boundary layers on a flat plate,
similarity solutions, Integral form of boundary layer equations, Approximate Methods
Turbulent Flow: Introduction, Fluctuations and time-averaging, General equations of turbulent
flow, Turbulent boundary layer equation, Flat plate turbulent boundary layer, Turbulent pipe
flow, Prandtl mixing hypothesis, Turbulence modelling, Free turbulent flows.
Concept of small-disturbance: stability, Linear Stability Theory, Kelvin-Helmholtz Instability, Stability
of Nearly Parallel Viscous Flows
Same as Reference
1. Kundu, P. K., Cohen, I. M., and Dowling, D. R., Fluid Mechanics, 5th ed., Academic Press (2015).
2. Young, Donald F., et al., A brief introduction to fluid mechanics, 5th ed., John Wiley and Sons (2010).
3. Muralidhar, K. and Biswas, G., Advanced Engineering Fluid Mechanics, 2nd ed., Narosa (2005).
4. White, F. M.and Corfield, I., Viscous Fluid Flow, 3rd ed., Tata McGraw-Hill (2006).
5. P S Bernard., Fluid dynamics, Cambridge university Press (2015).
6. G Buresti, Elements of fluid dynamics, Imperial college press (2012).