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January 18th, 2017, 05:00 PM
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Join Date: Mar 2012
Re: Mumbai University FM

The syllabus of MEC402 - Fluid Mechanics – under S. E. (Mechanical/Automobile) Sem.- IV offered by University of Mumbai is as follows:

Module 1
1.1 Fluid Definition and properties, Newton’s law of viscosity concept of
continuum, Classification of fluids
1.2 Fluid Statics: Definition of body and surface forces, Pascal’s law, Basic
hydrostatic equation, Forces on surfaces due to hydrostatic pressure, Buoyancy
and Archimedes’ principle

Module 2
2 Fluid Kinematics:
2.1 Eulerian and Lagrangian approach to solutions; Velocity andacceleration in an
Eulerian flow field; Definition of streamlines, path lines and streak lines;
Definition of steady/unsteady, uniform/non-uniform, one-two and three
dimensional flows; Definition of control volume and control surface,
Understanding of differential and integral methods of analysis
2.2 Definition and equations for stream function, velocity potential function in
rectangular and cylindrical co-ordinates, rotational and irrotational flows;
Definition and equations for source, sink, irrotational vortex, circulation

Module 3
3 Fluid Dynamics:
3.1 Integral equations for the control volume: Reynold’s Transport theorem( with
proof), equations for conservation of mass, energy and momentum, Bernoulli’s
equation and its application in flow measurement, pitot tube, venture, orifice
and nozzle meters.
3.2 Differential equations for the control volume: Mass conservation in 2 and 3
dimension in rectangular and cylindrical co-ordinates, Euler’s equations in 2,3
dimensions and subsequent derivation of Bernoulli’s equation; Navier-Stokes
equations( without proof) in rectangular cartesian co-ordinates; Exact solutions
of Navier-Stokes Equations to viscous laminar flow between two parallel
planes ( Couette flow and plane Poiseuille flow)

Module 4
4 Real fluid flows:
4.1 Definition of Reynold’s number, Laminar flow through a pipe ( HagenPoiseuille
flow), velocity profile and head loss; Turbulent flows and theories
of turbulence-Statistical theory, Eddy viscosity theory and Prandtl mixing
length theory; velocity profiles for turbulent flows- universal velocity profile,
1/7th power law; Velocity profiles for smooth and rough pipes
4.2 Darcy’s equation for head loss in pipe( no derivation),Moody’s diagram, pipes
in series and parallel, major and minor losses in pipes

Module 5
5 Boundary Layer Flows:
5.1 Concept of boundary layer and definition of boundary layer thickness,
displacement, momentum and energy thickness; Growth of boundary layer,
laminar and turbulent boundary layers, laminar sub-layer; Von Karman
Momentum Integral equation for boundary layers, analysis of laminar and
turbulent boundary layers, drag, boundary layer separation and methods to
control it, streamlined and bluff bodies
5.2 Aerofoil theory: Definition of aerofoil, lift and drag, stalling of aerofoils,
induced drag

Module 6
6 Compressible Fluid flow:
6.1 Propagation of sound waves through compressible fluids, Sonic velocity and
Mach number; Application of continuity , momentum and energy equations for
steady state conditions; steady flow through nozzle, isentropic flow through
ducts of varying cross-sectional area, Effect of varying back pressure on nozzle
performance, Critical pressure ratio
6.2 Normal shocks, basic equations of normal shock, change of properties across
normal shock

Reference Books:
1. Fluid Mechanics : Streeter and Wylie, McGraw Hill
2. Fluid Mechanics : F.M.White, McGraw Hill
3. Fluid Mechanics: K.L.Kumar
4. Introduction to Fluid Mechanics: Fox and McDonald
5. Introduction to Fluid Mechanics: James.A.Fay
6. Prandtl Essentials of Fluid Mechanics :Herbert Oertel(Ed)
7. Fluid Mechanics: B.M.Massey
8. Fluid Mechanics: Cengel and Cimbala
9. Mechanics of Fluids: Irving Shames
10. Advanced Fluid Dynamics: Muralidhar and Biswas
11. Fluid Mechanics and Hydraulics, S. K. Ukarande, Ane Books Pvt.Ltd.


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