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Fluid Mechanics Semester 5 (TE Third Year) BE Mechanical Engineering University of Mumbai Topics and Syllabus

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CBCGS [2018 - current]
CBGS [2014 - 2017]
Old [2000 - 2013]

Topics with syllabus and resources

100.00 Introduction to Fluid Mechanics
101.00 Fluid Definition and Properties
  • Fluid Definition and Properties
  • Newton’s law of viscosity concept of continuum,
  • Classification of fluids.
102.00 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
200.00 Fluid Kinematics
201.00 Eulerian and Lagrangian Approach to Solutions
  • Velocity and acceleration 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.
202.00 Definition and Equations
  • 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.
300.00 Fluid Dynamics
301.00 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
302.00 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)
400.00 Real Fluid Flows
401.00 Definition of Reynold’S Number, Laminar Flow
  • 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
402.00 Darcy’S Equation for Head Loss in Pipe
  • Darcy’s equation for head loss in pipe( no derivation),
  • Moody’s diagram, pipes in series and parallel,
  • major and minor losses in pipes.
500.00 Boundary Layer Flows
501.00 Concept of Boundary Layer and Definition
  • 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
502.00 Aerofoil Theory
  • Definition of aerofoil,
  • lift and drag, stalling of aerofoils,
  • induced drag
600.00 Compressible Fluid Flow
601.00 Propagation of Sound Waves
  • 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
602.00 Normal Shocks
  • Normal shocks,
  • basic equations of normal shock,
  • change of properties across normal shock
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