MAGNETOHYDRODYNAMICS-I (Optional Paper)
- To prepare a foundation for advanced study of fluid motion in electromagnetic field, magnetohydrodynamics theory.
- To develop concepts, models and techniques which enable us to solve the problems and help in research in these broad areas.
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Learning Outcomes |
Learning and teaching strategies |
Assessment |
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After the completion of the course the students will be able to: CLO72- understand the interaction between hydrodynamic process and electromagnetic phenomena in terms of Maxwell electromagnetic field equation. CLO73- formulate the basic equations of motion in inviscid and viscous conducting fluid flow and be familiar with the Alfven’s wave and magneto-hydrodynamic wave. CLO74- Concept of dynamical similarity, non-dimensional parameters, Formulation of exact equations of MHD flow. CLO75- Formulate velocity distribution & temperature distribution for MHD flow between parallel plates and coaxial cylinders.
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Approach in teaching: Interactive Lectures, Discussion, Tutorials, Reading assignments, Demonstration, Team teaching Learning activities for the students: Self learning assignments, Effective questions, Simulation, Seminar presentation, Giving tasks, Field practical
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Presentations by Individual Students. Class Tests at Periodic Intervals. Written assignment(s) Semester End Examination |
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 offluid motion: Continuumhypothesis,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 magnetofluiddynamics: Electromagnetic field equations, Fluid dynamic field equations, Magnetofluid 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 distributionfor 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, ClarendonPress, 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.
