Course Details
Subject {L-T-P / C} : MA5332 : Fluid Dynamics { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Bikash Sahoo
Syllabus
Review of gradient, divergence and curl. Elementary idea of tensors. Velocity of fluid, Streamlines and path lines, Steady and unsteady flows, Velocity potential, Vorticity vector, Conservation of mass, Equation of continuity. Equations of motion of a fluid, Pressure at a point in fluid at rest, Pressure at a point in a moving fluid, Euler's equation of motion, Bernoulli's equation. Singularities of flow, Source, Sink, Doublets, Rectilinear vortices. Complex variable method for two-dimensional problems, Complex potentials for various singularities, Circle theorem, Blasius theorem, Theory of images and its applications to various singularities. Three dimensional flow, Irrotational motion, Weiss's theorem and its applications. Viscous flow, Vorticity dynamics, Vorticity equation, Reynolds number, Stress and strain analysis, Navier-Stokes equation, Boundary layer Equations.
Course Objectives
- To give fundamental knowledge of fluid, its properties and behavior under various conditions.
Course Outcomes
Students can model basic and some advanced fluid flow problems and solve them.
Essential Reading
- G K Batchelor, An Introduction to fluid dynamics, Cambridge University Press , A seminal book on fluid dynamics
- F M White, Fluid Mechanics, Tata McGraw Hill , One will find many solved and unsolved problems.
Supplementary Reading
- F. Chorlton, A text book of fluid dynamics, Von Nostrand Reinhold/CBS , Very good book for beginners.
- 3. L. M. Milne Thomson, Theoretical Hydrodynamics, Macmillan and Co , A good book on mathematical fluid dynamics
Journal and Conferences
- Jr: Physics of fluids Con: Fluid Mechanics and Fluid Power
- Journal of Fluid Mechanics EUROMACH conference on fluid mechaics