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Hydromagnetic stability of parallel flow of an ideal heterogeneous fluid

Published online by Cambridge University Press:  29 March 2006

Stanley David Gedzelman
Stanley David Gedzelman
Affiliation:
Massachusetts Institute of Technology Present address: City College of New York and Lamont-Doherty Geological Observatory of Columbia University.
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Abstract

The magnetohydrodynamic and Boussinesq approximations are used on a fully ionized ideal fluid with a longitudinal magnetic field. The flow is in a direction normal to the gravity vector and all variations in velocity, density and magnetic field. The stability characteristics, mainly for normal-mode perturbations, are investigated. Two simple problems with discontinuous profiles are solved analytically. For a double shear layer, an appropriate range of magnetic field values destabilizes the flow. A long wave theory is presented and applied to several problems, some of which are destabilized by an appropriate magnetic field. Finally, the solution for continuous profiles is presented and shown to decay algebraically in time for any stable stratification.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 58 , Issue 4 , 22 May 1973 , pp. 777 - 794
Copyright
© 1973 Cambridge University Press

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