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