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A study of a stably stratified hydromagnetic fluid in a rotating cylinder

Published online by Cambridge University Press:  29 March 2006

David E. Loper
David E. Loper
Affiliation:
Department of Mathematics and Geophysical Fluid Dynamics Institute, Florida State University, Tallahassee
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Abstract

Slow, steady, mechanically driven, axisymmetric motion of a stably stratified, electrically conducting, rotating fluid is studied. Attention is focused upon the parameter values for which hydromagnetic effects first become important in a rotating stratified fluid and upon the nature of their influence on the interior flow of that fluid. It is found that hydromagnetic effects are able to alter the flow of a stratified rotating fluid at much weaker magnetic field strengths than the flow of an unstratified fluid. Specifically, the interior azimuthal flow is altered if E/α2 [Lt ] σS [Lt ] 1 or if E [Lt ] α2 and 1 [Lt ] σS, where E = ν/ΩL2, $E = \nu/\Omega L^2,\quad\alpha^2 = \overline{\sigma}B^2/\rho\Omega $ and $S = \overline{\alpha}\Delta Tg\nu/\Omega^2\kappa L$. The hydromagnetic effects act to decrease the vertical shear in the azimuthal flow from the levels which would occur in the absence of magnetic fields.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 73 , Issue 3 , 10 February 1976 , pp. 529 - 564
Copyright
© 1976 Cambridge University Press

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