Syllabus

Fluid Kinematics: Velocity field, Acceleration of a fluid element, Conservation of mass and momentum: continuity and momentum equation, Rotation of fluid element, Three-dimensional stress and strain-rate tensors, Euler’s equation, Integration of Euler’s equation to get Bernoulli’s equation. Stream lines and stream function. Irrotational flow, Velocity potential, Relationship between stream function and potential function, [8 Hours]

One-dimensional Viscous Flow: Couette flow with and without pressure gradient , Flow through a pipe and channel, Friction factor, Head loss due to friction, Flow through concentric annulus. [6 Hours]

Flow of Real Fluid: Laminar and turbulent flows, Navier-Stokes equations, Vorticity-transport equation. Exact solutions for simple cases - Stokes first problem, Boundary layer principles, Order of magnitude analysis, Similarity solution for flow over a flat plate, Local and average skin-friction coefficient.
Flow of Ideal Fluid: ISuperposition and circulation, Flow past a cylinder with and without circulation. [8 Hours]

Laminar Boundary Layer Flow: Momentum integral equation, Linear, Quadratic, Cubic and sinusoidal velocity profiles, Solution of MI equation for flow over a flat plate, Displacement, momentum and kinetic energy thickness, Creeping flow, Terminal velocity, Hydrodynamic lubrication of bearing, Flow through conduits - Entrance region, Flow separation and drag, Boundary layer control. [8 Hours]

Turbulent Flow: RANS equation, Apparent stress tensor, Shear stress models, Prandtl mixing length, Momentum eddy concept, Power-law velocity profile, Fully-developed turbulent flow through a pipe, Turbulent boundary layer over a flat plate, Turbulent flow at very high Reynolds number, Universal velocity profile, Velocity defect law. [6 Hours]

To provide students with a sound foundation in the mathematical, scientific and engineering fundamentals necessary to formulate, solve and analyze engineering problems in Fluid Mechanics.

To have the basic understanding on fluid mechanics.

Apply the concepts of stress, strain in fluid system in engineering field

Calculate and determine the effect of boundary layer on solid body.

Relates the basic theory of laminar and turbulent flow with application of fluid mechanics.

Provides an understanding how the boundary layer characteristics affect drag force.

A.K. Mohanty, Fluid Mechanics, PHI , Second Edition, 2009

S.K. Som, G. Biswas and S. Chakraborty, Introduction to Fluid Mechanics and Fluid Machines, TMH , Third Edition, 2017

H. Schlichting, Boundary Layer Theory, Springer , Seventh Edition, 2014

Frank M. White and Joseph Majdalani, Viscous Fluid Flow,, McGraw-Hill , 2022