Magnetohydrodynamics-I
This course will enable the students to -
- Prepare a foundation for advanced study of fluid motion in electromagnetic field, magnetohydrodynamics theory.
- Develop concepts, models and techniques which enable us to solve the problems and help in research in these broad areas.
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Course |
Learning outcomes (at course level) |
Learning and teaching strategies |
Assessment Strategies |
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Course Code |
Course Title |
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24MAT 323(C) |
Magnetohydrodynamics-I (Theory)
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CO95: Investigate the interaction between hydrodynamic process and electromagnetic phenomena in terms of Maxwell electromagnetic field equation. CO96: Construct the basic equations of motion in inviscid and viscous conducting fluid flow. CO97: Concept of dynamical similarity, non-dimensional parameters and formulation of exact equations of MHD flow. CO98: Formulate velocity distribution & temperature distribution for MHD flow between parallel plates and pipes. CO99: Develop equations for velocity distribution & temperature distribution for MHD flow between coaxial cylinders, near a stagnation point and Stoke’s flow. CO100: Contribute effectively in course-specific interaction. |
Approach in teaching: Interactive Lectures, Discussion, Informative videos
Learning activities for the students: Self learning assignments, Effective questions, Topic presentation, Assigned tasks |
Quiz, Class Test, Individual projects, Open Book Test, Continuous Assessment, Semester End Examination
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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.
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 magnetofluiddynamics: Electromagnetic field equations, Fluid dynamic field equations, Magnetofluiddynamic 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 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.
- J. L. Bansal, Magnetofluiddynamics of Viscous Fluids, Jaipur Publication House, 1994.
- K.R. Cramer and S.I. Pai, Magnetofluidodynamics for Engineers and Applied Physicists, McGraw-Hill, New York, 1973.
- S. Chandra Shekhar, Hydrodynamic and Hydromegnatic Stability, Oxford University Press. 1961.
SUGGESTED READING
- J.A. Shercliff, A Text Book of Magnetohydrodynamics, Pergamon Press, Oxford, 1965.
- S.I. Pai, Magnetogasdynamics and Plasma Dynamics, Springer-Verlag, Vienna, 2014.
- V.C.A. Ferraro, C. Plumpton, An Introduction to Magnetofluid Mechanics, Clarendon Press, Oxford, 1966.
- Z. Jeffreys, Magnetohydrodynamics, Oliver and Boyd, New York, 1966.
e- RESOURCES
- https://nptel.ac.in/courses/115106124
- https://archive.nptel.ac.in/courses/115/104/115104124/
- https://nptel.ac.in/courses/115104112
- https://nptel.ac.in/courses/115104088
JOURNALS
- https://www.cambridge.org/core/journals/journal-of-fluid-mechanics
- https://www.springer.com/journal/10697
- https://www.springer.com/journal/21
- http://mhd.sal.lv/index.html
