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• 2:46 PM, Tuesday, 21 Sep 2021

 Course Postgraduate Semester Sem. I Subject Code AE621 Subject Title Fluid Dynamics

##### Syllabus

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

##### Text Books

Same as Reference

##### References

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).