FLUID DYNAMICS-I (Compulsory Paper)
Basic concepts: Fluid, Continuum hypothesis, Viscosity, General motion of a fluid element, Analysis of stress and rate of strain, Stress in a fluid at rest, Stress in a fluid in motion, Stokes’ law of friction, Thermal conductivity and generalized law of heat conduction.
Fundamental equations of the flow of viscous fluids: Introduction, Equations of state and continuity, Navier-Stokes’ equations of motion, Equation of energy, Vorticity and circulation.
Dynamical similarity, Inspection and dimensional analysis, Buckingham π-theorem and its application, Non-dimensional parameters and their physical importance, Reynolds number, Froude number, Mach number, Prandtl number, Eckart number, Peclet number, Grashoff number, Brinkmann number, Non–dimensional coefficients: Lift and drag coefficients, Skin-friction, Nusselt number, Temperature recovery factor.
Exact Solutions of Navier-Stokes’ equations: Velocity and temperature distributions for the flow between two parallel plates, Plane Couette flow, Plane Poiseuille flow, Generalized plane Couette flow, Velocity and temperature distributions for the flow in a circular pipe (Hagen- Poiseuille flow).
Flow in tubes of uniform cross-sections: Circular, Annular and Elliptic, Equilateral triangular and Rectangular cross-sections. Flow between two concentric rotating cylinders, Flow in convergent and divergent channels, Stagnation point flows: Hiemenz flow, Homann flow.
1. R.K. Rathy, An Introduction to Fluid Dynamics, Oxford and IBH Publishing Co., 1976.
2. F. Chorlton, Textbook of Fluid Dynamics, CBS Publishers, Delhi, 2004.
3. L.D. Landau, E.N. Lipschitz, Fluid Mechanics, Pergamon Press, London, 1985.
4. J.L. Bansal, Viscous Fluid Dynamics, Oxford Publication, 2013.
1. Schaum's Outlines, Fluid Mechanics, McGraw-Hill Education, 1st edition, 2007.
2. G.K. Batchelor, An Introduction to Fluid Mechanics, Cambridge University Press, 2000.
3. M.D. Raisinghania, Fluid Dynamics, S. Chand & Co., 2003.
4. Pradip Niyogi, S.K. Chakrabartty, M. K. Laha, Introduction to Computational Fluid Dynamics, Pearson Education, 2006.
