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 2021-2022 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 2021-2022. They will also receive a complete practical syllabus for Semester 5 (TE Third Year) Fluid Mechanics in addition to this.

## 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

### University of Mumbai Semester 5 (TE Third Year) Fluid Mechanics Course Structure 2021-2022 With Marking Scheme

## Syllabus

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

- Definition of body and surface forces,
- Pascal’s law,
- Basic hydrostatic equation,
- Forces on surfaces due to hydrostatic pressure,
- Buoyancy and Archimedes’ principle

- 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.

- 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.

- 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

- 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)

- 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

- Darcy’s equation for head loss in pipe( no derivation),
- Moody’s diagram, pipes in series and parallel,
- major and minor losses in pipes.

- 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

- Definition of aerofoil,
- lift and drag, stalling of aerofoils,
- induced drag

- 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

- Normal shocks,
- basic equations of normal shock,
- change of properties across normal shock