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On the hydrodynamic and hydromagnetic stability of swirling flows

Published online by Cambridge University Press:  28 March 2006

Louis N. Howard  and
A. S. Gupta
Louis N. Howard
Affiliation:
Mathematics Department, Massachusetts Institute of Technology
Both on leave during 1961-62 at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge.
A. S. Gupta
Affiliation:
Mathematics Department, Indian Institute of Technology, Kharagpur
Both on leave during 1961-62 at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge.
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Abstract

Some general stability criteria for non-dissipative swirling flows are derived, and extended to the case of an electrically conducting fluid in the presence of axial magnetic field and current. In particular it is shown that the analogy between a rotating and a stratified fluid holds in this case, and that an important determinant of stability is a ‘Richardson number’ based on the analogue of the density gradient and the shear in the axial flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 14 , Issue 3 , November 1962 , pp. 463 - 476
Copyright
© 1962 Cambridge University Press

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