MAGNETOHYDRODYNAMICS-I (Optional Paper)
Maxwell electromagnetic field equations: Coulomb’s law, Gauss’ law, Energy of electrostatics field, Conservation of charge, Ohm’s law, Magnetic field, Ampere’s law Biot-Savart law, Ampere’s force law magnetic field continuity equation, Energy of magnetostatic field, Hall current, Electromagnetic induction. Maxwell equations for electromagnetism, Electromagnetic wave equations.
Constitutive equation of fluid motion: Continuum hypothesis, Rate of strain quadric, Stress quadric, Relation between stress and rate of strain component, Maxwell stress tensor, Thermal conductivity, Generalized law of heat conduction, Entropy, Fundamental equations of magneto fluid dynamics: Electromagnetic field equations, Fluid dynamic field equations, Magneto fluid dynamic equations.
Dynamical similarity, Inspection analysis, Dimensional analysis, Buckingham –theorem (proof and applications), Physical importance of non-dimensional parameters, Exact solutions of MHD equations: Velocity distribution for MHD flow between two parallel plates (Hartmann plane Poiseuille flow, Hartmann plane Couette flow).
Temperature distribution for MHD flow between two parallel plates (Hartmann plane Poiseuille flow, Hartmann plane Couette flow), MHD flow in tube of rectangular cross-section, MHD flow in pipes, MHD flow in an annular channel.
MHD flow between two rotating coaxial cylinders, MHD flow near a stagnation point, MHD flow due to a plane wall suddenly set in motion, MHD slow motion: MHD Stoke’s flow of viscous fluid past a sphere.
- J.L. Bansal, Magnetofluiddynamics of Viscous Fluids, Jaipur Publication House, 1994.
- Charndra Shekhar S., Hydrodynamic and Hydromegnatic Stability, Oxford University Press. 1961.
- K.R Cramer, S.I Pai, Magnetofluidodynamics for Engineers and Applied Physicists, McGraw-Hill, New York, 1973.
- V.C.A Ferraro, C. Plumpton, An Introduction to Magnetofluid Mechanics, Clarendon Press, Oxford, 1966.
- A. Jeffreys, Magnetohydrodynamics, Oliver and Boyd, New York, 1966.
- S.I. Pai, Magnetogasdynamics and Plasma Dynamics, Springer-Verlag, Vienna, 1963.
- J.A. Shercliff, A Text Book of Magnetohydrodynamics, Pergamon Press, Oxford, 1965.
