Review of undergraduate Fluid Mechanics :
Differential Flow analysis- Continuity equation (3D Cartesian, Cylindrical and spherical coordinates) Navier Stokes equations (3D- Cartesian, coordinates) Elementary inviscid flows; superposition (2D)
Integral Flow Analysis:
Reynolds transport theorem, Continuity, momentum, moment of momentum, energy equations with applications such as turbo machines, jet propulsion &propellors; Exact solution of viscous flow equations: Steady flow: Hagen Poiseuille problem, plane Poiseuille problem, Unsteady flow: Impulsively started plate.
Low Reynolds number flows:
Lubrication theory (Reynolds equation), flow past rigid sphere, flow past cylinder. Boundary Layer Theory:Definitions, Blasius solution, Von-Karman integral, Separation.
Thermal Boundary layer and heat transfer, (Laminar & turbulent flows);
Experiments in fluids:
Wind tunnel, Pressure Probes, Anemometers and flow meters.
Special Topics:
Stability theory; Natural and forced convection; Rayleigh Benard problem; Transition to turbulence; Introduction to turbulent flows.