BHARATHIAR UNIVERSITY, COIMBATORE – 641 046
M.Phil – Applied Mathematics
FT/PT Effective from 2008-2009
Paper III - Special Paper
1. Heat Transfer and Magnetohydrodynamics
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PAPER III
SPECIAL PAPER
HEAT TRANSFER AND MAGNETOHYDRODYNAMICS
UNIT I: Flow along surfaces and in channels
Boundary layer and turbulence – The momentum equation of the boundary
layer – The laminar-flow boundary-layer equation - The plane plate in longitudinal flow -
Pressure gradients along a surface - Exact solutions of the laminar boundary-layer
equations for a flat plate
UNIT II: Forced Convection in Laminar Flow
The heat-flow equation of the boundary layer – Laminar boundary-layer
energy equation – The plane plate in longitudinal flow – The plane plate with arbitrarily
varying wall temperature– Exact solutions of the laminar- boundary- layer energy
equation – Flow through a tube.
UNIT III: Free Convection
Laminar heat transfer on a vertical plate and horizontal tube – Turbulent
heat transfer on a vertical plate – Derivation of the boundary-layer equations – Free
convection in a fluid enclosed between two plane walls – Mixed free and forced
convection.
UNIT IV:Introduction and fundamental Equations of Magnetohydrodynamics
and Steady Laminar motion
Introduction and fundamental equations: The electrodynamics moving mediaThe electromagnetic effects and the magnetic Reynolds number-Alfven’s theoremThe magnetic energy-The mechanical Equation-The mechanical effects-The
Electromagnetic stresses-Steady Laminar motion.
UNIT V: Magnetohydrodynamic waves and stability
Magnetohydrodynamic waves-Waves in an infinite fluid of infinite electrical
conductivity-Alfven waves- Magnetohydrodynamic waves in a compressible fluidStability-Introduction—Simple illustrative examples-The Method of small Oscillations
Text book for Units I, II, III
E.R.G.Eckert & Robert M. Drake, “Heat and Mass Transfer” McGraw-Hill,
Tokyo, (1979).
Textbook for Units IV & V
V.C.A Ferraro & C. Plumpton, “An Introduction to Magneto-Fluid Mechanics”
Clanendon Press, Oxford, (1966).
Books for Reference:
1. B. Gebhart, “Heat Transfer”, McGraw-Hill, NewYork, (1971).
2. H .Schlichiting, “Boundary Layer Theory”, Mc Graw Hill, (1979).
3. Alan Jeffrey, “Magnetohydrodynamoics”, Oliver & Boyd, London, (1966).
