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.
Unit II:
II
15.00
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
Unit III:
III
15.00
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.
Unit IV:
IV
15.00
Theory of very slow motion: Stokes’ and Oseen’s flows past a sphere. Concept of boundary layer
Unit V:
V
15.00
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.
Essential Readings:
1. An introduction to fluid dynamics, R.K. Rathy, Oxford and IBH Publishing
Co. 1976.
2. Textbook of fluid dynamics, F. Chorlton, CBS Publishers, Delhi.
3. Fluid Mechanics, L. D. Landau and E.N. Lipschitz, Pergamon Press,
London, 1985.
4. Fluid Dynamics, J. P. Chauhan, Shiksha Sahitya Prakashan.
