Introduction:
Properties of Fluids ,Fluid Statics, Fundamental Equations-Applications of Fundamental Equations, Relative Motion of Liquids. Kinematics of Fluids- Review of basics-Velocity potential, Stream function and Vorticity. General theory of Stress and Rate of Strain Fundamental Equations – Integral formFundamental Equations – Integral form-Reynolds Transport Theorem-Applications of the Integral Form of Equations-Numerical.
Mechanics of Laminar and Turbulent Flow:
Introduction; Laminar and turbulent flows; viscous flow at different Reynolds number - wake frequency;laminar plane Poiseuille flow; stokes flow; flow through a concentric annulus.structure and origin of turbulent flow - Reynolds, average concept, Reynolds equation of motion; zero equationmodel for fully turbulent flowsand other turbulence models; turbulent flow through pipes; losses in bends, valves etc; analysis of pipenetwork - Hard cross method.
Exact and Approximate solutions of N-S Equations:
Introduction; Parallel flow past a sphere; Oseen’s approximation; hydrodynamic theoryof lubrication; Hele-Shaw Flow.
Boundary Layer Theory:
Introduction; Boundary layer equations; displacement and momentum thickness, shape factor; flow over a flat plate similarity transformation, integral equation for momentum and energy ; skin friction coefficient and Nusselt number; separation of boundary layer; critical Reynolds number; control of boundary layer separation.
Flow across Normal Shock and Oblique Shock:
Basic Equations Normal Shock – Prandtl-Meyer Equation, Oblique shock-Property variation – Relations and Tables-Numericals.
Flow through a constant area duct with Friction:
Flow through a constant area duct with FrictionFannoLine,Fanno Flow -Variation of Properties – Relations and Tables-Numericals. Flow through a constant area duct with Heat Transfer-Flow through a constant area duct with Heat Transfer-Rayleigh Line, Rayleigh Flow – Variation of Properties – Relations and Tables-Numericals.
Experimental Techniques:
Introduction; improved modeling through experiments; design of fluid flow experiments; error sources duringmeasurement; pressure transducers; hot wire anemometer; laser - Doppler velocity meter; methods of measuring turbulence fluctuations - flow visualization techniques; wind tunnel; analysis of experimental uncertainty - types of error, estimation of uncertainty