Magnetohydrodynamics-I

Paper Code: 
MAT323 C
Credits: 
5
Contact Hours: 
75.00
Max. Marks: 
100.00
Objective: 

This course will enable the students to -

  1. Prepare a foundation for advanced study of fluid motion in electromagnetic field, magnetohydrodynamics theory. 
  2. Develop concepts, models and techniques which enable us to solve the problems and help in research in these broad areas. 

Course Outcomes (COs):

Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

 

 

 

 

 

MAT 323C

 

 

 

 

 

Magnetohydrodynamics-I

 (Theory)

 

 

 

 

 

The students will be able to –

 

CO93: Understand the interaction between hydrodynamic process and electromagnetic phenomena in terms of Maxwell electromagnetic field equation.

CO94: Formulate the basic equations of motion in inviscid and viscous conducting fluid flow .

CO95: Concept of dynamical similarity, non-dimensional parameters, Formulation of exact equations of MHD flow.

CO96: Formulate velocity distribution & temperature distribution for MHD flow between parallel plates and coaxial cylinders.

CO97: Describe the Alfven’s wave and magneto-hydrodynamic wave.

CO98: Apply the knowledge of forces in allign and normal directions of flow

 

Approach in teaching:

Interactive Lectures, Discussion, Power Point Presentations, Informative videos

Learning activities for the students:

Self learning assignments, Effective questions, presentations, Field trips

Quiz, Poster Presentations,

Power Point Presentations, Individual and group projects,

Open Book Test, Semester End Examination

 

 

 

 

Unit I: 
I
15.00
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.
 
Unit II: 
II
15.00
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 magnetofluiddynamics: Electromagnetic field equations, Fluid dynamic field equations, Magnetofluiddynamic equations.
 
Unit III: 
III
15.00
Dynamical similarity, Inspection analysis, Dimensional analysis, Buckingham π–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).
 
Unit IV: 
IV
15.00
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.
 
Unit V: 
V
15.00
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 
 
Essential Readings: 
  • J. L. Bansal, Magnetofluiddynamics of Viscous Fluids, Jaipur Publication House, 1994.
  • Chandra Shekhar S., Hydrodynamic and Hydromegnatic Stability, Oxford University Press. 1961.
  • K.R. Cramer and S.I. Pai, Magnetofluidodynamics for Engineers and Applied Physicists, McGraw-Hill, New York, 1973.
 
References: 
  • V.C.A Ferraro, C. Plumpton, An Introduction to Magnetofluid Mechanics, Clarendon Press, Oxford, 1966.
  • A. Z. Jeffreys, Magnetohydrodynamics, Oliver and Boyd, New York, 1966.
  • S.I. Pai, Magnetogasdynamics and Plasma Dynamics, Springer-Verlag, Vienna, 2014.
  • J.A. Shercliff, A Text Book of Magnetohydrodynamics, Pergamon Press, Oxford, 1965.
 
Academic Year: 
2022-2023
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