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

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;
• 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;