Concept of unsteady flow. Exact Solution of N-S Equation: For unsteady incompressible flow with constant fluid properties: Flow due to plane wall suddenly set in the motion (Stokes’ first problem), Flow due to an oscillating plane wall (Stokes’ second problem), Starting flow in plane Couette motion.
Steady incompressible flow with fluid Suction/injection through porous wall on the boundaries. Steady incompressible flow with Variable viscosity : Plane Couette flow , Plane Poiseuille Flow
Fundamental Equation of energy, Temperature distribution : Between parallel plates, in a pipe, between two concentric rotating cylinders. Temperature distribution of plane Couette flow with transpiration cooling.
Theory of very slow motion: Stokes’ and Oseen’s flows past a sphere. Concept of boundary layer
Derivation of velocity and thermal boundary equations in two-dimensional flow. Balsius-Topfer solution: Boundary layer on flat plate, Simple solution of thermal boundary layer equation for Pr = 1.