Magnetohydrodynamics-II

Paper Code: 
24MAT423(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 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.

 

Course Outcomes: 

Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

 

 

 

 

 

 

24MAT

423(C)

Magnetohydrodynamics-II

 (Theory)

 

 

 

CO166: Generalize the two dimensional MHD flow over and flow past a plane, Oseen's flow.

CO167: Formulate the basic equations of motion of MHD boundary layer flow over plane surfaces.

CO168: Derive the equations of motion in jet flow.

CO169: Formulate the basic equations of motion of MHD free convection flow, etc.

CO170: Apply the knowledge of forces in align and normal directions of flow

CO171: 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

 

 

 

Unit I: 
MHD Oseen flow:
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: 
Boundary layer equations:
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: 
Jet flow:
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: 
MHD boundary layer flow:
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: 
MFD steady boundary layer flow:
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, Magneto Gas dynamic plane free jet flow.

 

Essential Readings: 
  • J.L. Bansal, Magnetofluiddynamics of Viscous Fluids, Jaipur Publication House, 1994.
  • Chandra Shekhar, Hydrodynamic and Hydromagnetic Stability, Dover Publications. 2003.
  • K.R Cramer and S.I. Pai, Magnetofluidodynamics for Engineers and Applied Physicists, McGraw-Hill, New York, 1973.

 

SUGGESTED READING

 

  • V.C.A Ferraro and 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.

 

e- RESOURCES

 

 

JOURNALS

 

 

Academic Year: 
2024-2025
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