MAT-712

Malaviya National Institute of Technology, Jaipur
Department of Mathematics
Comprehensive Course
Title of the Course:- Fluid Mechanics
Course Code
:-MAT-712
Course Credits
:-04
Ideal and Real Fluids, Pressure, Density, Viscosity, Description of Fluid motion, Lagrangian method,
Eulerian method, Steady and unsteady flows, Uniform and nonuniform flows, One dimensional, two
dimensional and ax symmetric flows, Line of flows, Stream surface, Stream tube, Streak lines, Local
and Material derivative. Equation of continuity. Euler's equation of motion along a stream line,
Equation of motion of an inviscid fluid, conservative field of force, Integral of Euler's equation,
Bernoulli’s equation and its applications, flow from a tank through a small orifice, Cauchy's integral,
Symmetric forms or the equation of continuity, Impulsive motion of a fluid, Energy equation.
Dimensional Analysis, Buckingham’s pi theorem, Variable in fluid mechanics, Procedures of
dimensional Analysis, similitude, Important dimension less parameter (Reynolds's no., Mech no.,
Prandtl no. etc.)
Books recommended:
1.Viscous Flow Theory Vol.1 ‘Laminar flow’ – S.I. Pai.
2.Boundary Layer Theory – H. Schlichting.