MALAVIYA NATIONAL INSTITUTE OF TECHNOLOGY, JAIPUR.
DEPARTMENT OF MATHEMATICS
SYLLABUS
MAT-636
Fluid Mechanics
4 Credits (3L+1T+0P)
Basic concepts:- Fluid, Continuum Hypothesis, Viscosity, Rate of strain quadric, Stress at a
point, Stress Quadric, Relation between Stress and rate of strain Components(Stokes Law of
Friction),Thermal Conductivity.
Fundamental equation of the flow of viscous fluid:-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:-Dynamical Similarity(Reynolds Law),Inspection Analysis, Dimensional Analysis,
Buckingham π-Theorem. Physical Importance of Non-Dimensional Parameters.
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 of the boundaries.
Books recommended:
1. S.I. Pai.,Viscous Flow Theory ‘Laminar flow’, Vol.1,Van Nostrand Co., Ny,(1956).
2. H. Schlichting, Boundary Layer Theory, 7th Edition, McGraw-Hill (1979).
3. J. L. Bansal, Viscous Flow Theory, Jaipur Publishing House (2008)