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

University of Mumbai Syllabus For Semester 5 (TE Third Year) Fluid Mechanics: Knowing the Syllabus is very important for the students of Semester 5 (TE Third Year). Shaalaa has also provided a list of topics that every student needs to understand.

The University of Mumbai Semester 5 (TE Third Year) Fluid Mechanics syllabus for the academic year 2022-2023 is based on the Board's guidelines. Students should read the Semester 5 (TE Third Year) Fluid Mechanics Syllabus to learn about the subject's subjects and subtopics.

Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the University of Mumbai Semester 5 (TE Third Year) Fluid Mechanics Syllabus pdf 2022-2023. They will also receive a complete practical syllabus for Semester 5 (TE Third Year) Fluid Mechanics in addition to this.

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

## University of Mumbai Semester 5 (TE Third Year) Fluid Mechanics Revised Syllabus

University of Mumbai Semester 5 (TE Third Year) Fluid Mechanics and their Unit wise marks distribution

## Syllabus

### University of Mumbai Semester 5 (TE Third Year) Fluid Mechanics Syllabus for Introduction to Fluid Mechanics

101 Fluid Definition and Properties
• Fluid Definition and Properties
• Newton’s law of viscosity concept of continuum,
• Classification of fluids.
102 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

### University of Mumbai Semester 5 (TE Third Year) Fluid Mechanics Syllabus for Fluid Kinematics

201 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 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.

### University of Mumbai Semester 5 (TE Third Year) Fluid Mechanics Syllabus for Fluid Dynamics

301 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 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)

### University of Mumbai Semester 5 (TE Third Year) Fluid Mechanics Syllabus for Real Fluid Flows

401 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 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.

### University of Mumbai Semester 5 (TE Third Year) Fluid Mechanics Syllabus for Boundary Layer Flows

501 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 Aerofoil Theory
• Definition of aerofoil,
• lift and drag, stalling of aerofoils,
• induced drag

### University of Mumbai Semester 5 (TE Third Year) Fluid Mechanics Syllabus for Compressible Fluid Flow

601 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 Normal Shocks
• Normal shocks,
• basic equations of normal shock,
• change of properties across normal shock