ME 1304: FLUID MECHANICS

Syllabus

Module 1

Preliminaries, Concept of continuum, Properties of fluids – density – pressure – viscosity - surface tension - capillarity - vapour pressure, Fluid statics, Basic equations of fluid statics, Variation of pressure
in a fluid, - Manometry - Forces on surfaces and bodies in fluids, Floatation - stability of bodies in fluid - metacentric height and its measurement, Fluids in rigid body motion, Fluid kinematics -Eulerian and Lagrangian description - local and material rates - deformation of a fluid element -strain rate-velocity relations, Graphical description of flow – streamlines - path lines - streak lines - stream tube, Fluid dynamics - concept of the control volume -Reynolds transport equation and its use to formulate fluid mechanics problems, Integral and differential forms of the continuity - momentum and energy equations, Illustrative examples.

Module II
One dimensional flow through pipes, Non viscous equation for the flow through a stream tube and along a stream line – Euler‘s equation – Bernoulli‘s equation, - Energy equation, Applications of the one dimensional equations - velocity and flow measuring devices and quasi steady problems, Laminar and turbulent flow through pipes - Hagen- Poiseuille equation - Darcy-Weisbach equation - pipe friction -Moody‘s chart - minor losses in pipes

Module III
Two dimensional incompressible inviscid flows – Vorticity - Vortex tube - Irrotational flow - Velocity potential, Stream function - relation between stream function and potential function in ideal flows -Equation of a streamline - governing equations, Fundamental flow patterns, Combination of basic patterns - Rankine half body - Rankine oval - Doublet and flow over a cylinder, Magnus effect and the calculation of lift on bodies.

Module IV
Plane viscous flow past bodies, The boundary layer - Prandtl‘s boundary layer equations, Blasius solution for the boundary layer over a flat plate, Karman‘s Momentum Integral equations - Solutions using simple profiles for the boundary layer on flat plate - calculation of skin friction drag.

References:

1) Shames, I.H., ‗Mechanics of fluids’, Mc Graw Hill Book Co.,
2) White, F.M., ‗Fluid Mechanics’, 6th Ed., Tata Mc Graw Hill, New Delhi
3) Cengel, Y.A, Cimbala, John, M., ‗Fluid Mechanics, Fundamentals and Applications’, 7th Ed. Tata Mc
GrawHill, New Delhi,
4) Gupta, V., Gupta, S.K.., ‗Fluid Mechanics and its applications’, New Age International, New Delhi,
5) Som, S.K., and Biswas, G., ‗Fluid Mechanics and fluid Machines’, 2nd Ed., Tata Mc Graw Hill, New
Delhi.
6) Cohen and Kundu - Fluid Mechanics, Elsevier
7) V. Babu, Fundamentals of Incompressible flows, Ane Publishers.
8) Massey, Fluid Mechanics,ELBS

Type of Questions for University Exam

Q 1.Eight short answer questions of 5 marks with two questions from each of the four modules. (8x5 = 40 marks)
Q 2. to Q.5 : Two questions A & B of 15 marks from each modules with option to answer either A or B. (4x15 = 60