## Course Detail

 Course Name Theory of Fluid Dynamics Program M.Phil. in Mathematics (Offered at Kochi Campus) Year Taught 2019 Degree Postgraduate (PG) School School of Arts and Sciences Campus Kochi

### Syllabus

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.

### References

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.

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