MAGNETOHYDRODYNAMICS-II (Optional Paper)

Paper Code: 
MAT423C
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 and boundary layer theory. 
  2. Develop concepts, models and techniques which enable us to solve the problems and help in research in these broad areas.

Learning Outcomes

Learning and teaching strategies

Assessment

After the completion of the course the students will be able to:

CLO124- understand the two dimensional MHD flow over and flow past  a plane, oseen's flow.

CLO125- formulate the basic equations of motion of MHD boundary layer flow in presence of magnetic field, jet flow, rotating flow, free convection flow etc.

CLO126- Describe the difference between MHD and MFD boundary layer flows.

CLO127- formulate the basic equations of motion of MFD boundary layer flow in presence of magnetic field.

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

 

 

 

Presentations by Individual  Students

Class Tests at Periodic Intervals.

Written assignment(s)

Semester End Examination

 

Unit I: 
I
15.00

MHD Oseen flow of a viscous liquid past a sphere, MHD Oseen’s flow past a circular cylinder (exact solution), MHD Oseen’s flow past a circular cylinder (series solution). Derivation of two dimensional MHD Boundary layer equations for flow over a plane surface, MHD boundary layer flow past a flat plate.

Unit II: 
II
15.00

Derivation of two dimensional thermal boundary layer equation for MHD flow over a plane surface, Heat transfer in MHD boundary layer flow past a flat plate, Two dimensional MHD boundary layer equations for flow over a plane surface, MHD Boundary layer flow past a flat plate in a transverse magnetic field.

 

Unit III: 
III
15.00

MHD plane free jet flow, MHD plane wall jet flow, MHD curved wall jet flow, MHD circular free jet flow, MHD boundary layer flow due to impulsive motion of a plane wall.

Unit IV: 
IV
15.00

MHD boundary layer flow due to an accelerated flat plate, MHD boundary layer growth on a body placed symmetrical to the flow, MHD boundary layer growth in a rotating flow, heat, mass and momentum transfer in unsteady MHD free convection flow on an accelerated vertical plate. Unsteady boundary layer flow past a flat plate in an aligned magnetic field, Derivation of two-dimensional MFD boundary layer equation for flow over a plane surface.

Unit V: 
V
15.00

Similarity solutions for MFD steady boundary layer flow in an aligned magnetic field, two dimensional MFD boundary layer equations for flow over a plane surface, similarity solutions for MFD steady boundary layer flow in a transverse magnetic field, Magnetogasdynamic plane free jet flow.

 

Essential Readings: 
  • J.L.Bansal, Magnetofluiddynamics of Viscous Fluids, Jaipur Publication House, 1994.
  • Chandra Shekhar, Hydrodynamic and Hydromagnetic Stability, Oxford University Press. 1961.
References: 
  • 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
Academic Year: 
2019-2020
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