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Magnetohydrodynamic stability of a streaming gas jet

Published online by Cambridge University Press:  13 March 2009

Samia S. Elazab
Samia S. Elazab
Affiliation:
Department of Mathematics, Women's University College, Ain-Shams University, Heliopolis, Cairo, Egypt
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Abstract

The MHD stability of a gas jet surrounded by a streaming radially finite liquid cylinder (with solid cylindrical edge) is studied. The system is acted upon by capillary, electromagnetic and inertial liquid forces. The eigenvalue relation is established to all kinds of perturbations. The streaming has a strong destabilizing influence that is independent of all problem parameters. The capillary force is destabilizing only for small axisymmetric modes and stable for the rest. The electromagnetic force is strongly stabilizing whatever the intensities of the magnetic field. If the influence of the latter is sufficiently strong, the influence of the streaming can be completely suppressed. It is found that for an axisymmetric perturbation the domain of instability is the same whatever the value of the liquid radial distance.

Type
Research Article
Information
Journal of Plasma Physics , Volume 49 , Issue 1 , February 1993 , pp. 3 - 15
Copyright
Copyright © Cambridge University Press 1993

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