Course Title: 
Theory of Fluid Dynamics
Course Code: 
Year Taught: 
Doctoral Programs
School of Arts and Sciences

'Theory of Fluid Dynamics' is an elective course offered in the second semester of M.Phil. in Mathematics program (Full Time/Part Time) offered by School of Arts & Sciences, Kochi.

Unit 1: Basic Concepts and Properties

Fluid – definition, distinction between solid and fluid - Units and dimensions – Properties of fluids – density, specific weight, specific volume, specific gravity, temperature, viscosity, compressibility, vapour pressure, capillary and surface tension – Fluid statics: concept of fluid static pressure, absolute and gauge pressures – pressure measurements by manometers and pressure gauges.

Unit 2: Fluid Kinematics

Fluid Kinematics - Flow visualization - lines of flow - types of flow - velocity field and acceleration - continuity equation (one and three dimensional differential forms)- Equation of streamline - stream function - velocity potential function - circulation - flow net.

Unit 3: Fluid Dynamics

Fluid dynamics - equations of motion - Euler's equation along a streamline - Bernoulli's equation – applications - Venturi meter, Orifice meter, Pitot tube - dimensional analysis - Buckingham's theorem - applications - similarity laws and models.

Unit 4: Incompressible Fluid Flow

Viscous flow - Navier - Stoke's equation (Statement only) - Shear stress, pressure gradient relationship - laminar flow between parallel plates - Laminar flow through circular tubes (Hagen poiseulle's).

Unit 5: Flow Through Pipes

Hydraulic and energy gradient - flow through pipes - Darcy-weisback's equation - pipe roughness - friction factor - Moody's diagram - minor losses - flow through pipes in series and in parallel - power transmission - Boundary layer flows, boundary layer thickness, boundary layer separation - drag and lift coefficients.

  1. White, F.M., Fluid Mechanics, Tata McGraw-Hill, 5th Edition, New Delhi, 2003.
  2.  An introduction to fluid dynamics, G K Bachelor, Cambridge University Press, 2000. 7
  3. Streeter, V.L., and Wylie, E.B., Fluid Mechanics, McGraw-Hill, 1983.
  4. Kumar, K.L., Engineering Fluid Mechanics, Eurasia Publishing House (P) Ltd., New Delhi (7th Edition), 1995.