Department of Mathematics
Comprehensive Course
Title of the Course:- Viscous Fluid Dynamics
Course Code
:-MAT-711
Course Credits
:-04
Basic concepts, Fundamental equations of' the flow of viscous fluids:- Equation of state ,equation
of continuity - conservation of mass, Equation of motion (Navier- Stokes equations) --conservation of
momentum, Equation of energy -conservation of energy, Dimensional analysis, Exact solution of the
Navier- stokes equations :- Steady incompressible flow with constant fluid properties, Steady
incompressible flow with variable viscosity, Unsteady incompressible flow with constant fluid
properties, Steady compressible flow, Steady incompressible flow with fluid suction/injection on the
boundaries, Theory of very slow motion:- Stokes equations, Stokes flow, Oseen equations, Oseen
flow, Lubrication theory.
Books recommended:
1.Viscous Flow Theory Vol.1 ‘Laminar flow’ – S.I. Pai.
2.Boundary Layer Theory – H. Schlichting.