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On hydromagnetic spin-up

Published online by Cambridge University Press:  29 March 2006

S. S. Chawla
S. S. Chawla
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur
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Abstract

In this paper we study the generation and propagation of hydromagnetic waves during the spin-up of an electrically conducting, viscous fluid. The time-dependent motion is set up by the impulsive rotation of an infinitely conducting plane which is initially in rigid-body rotation with the fluid, the applied magnetic field being parallel to the axis of rotation. The hydromagnetic flow is permeated by two distinct wave modes and the region between their wave fronts supports harmonic waves produced by the inertial oscillations. The characteristics of these modes are discussed for some limiting cases of interest.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 53 , Issue 3 , 13 June 1972 , pp. 545 - 555
Copyright
© 1972 Cambridge University Press

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References

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Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
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Strand, O. N. 1965 Math. Comp. 19, 127.