Axisymmetric hydromagnetic stability of a streaming resistive hollow jet under oblique varying magnetic field

Samia S. Elazab, Samy A. Rahman, Alfaisal A. Hasan, Nehad A. Zidan

Abstract


The axisymmetric magneto hydrodynamic stability of streaming resistive hollow jet under oblique varying magnetic fields has been discussed. The stability criterion is established in its general form, studied analytically and the results are confirmed numerically.

The destabilizing effect of the capillary force is found in small domain in the axisymmetric perturbation. We study three different cases for discussing the electromagnetic force influence on the resistive hollow jet instability. The first case is the finite resistivity; it has no any influence on the capillary instability of a resistive hollow jet. The second case is the infinite resistivity, it is destabilizing according to restrictions. The third case is being zero resistivity, it exerts an influence giving a sort of rigidity to the conducting fluid and that influence causes also the bending and twisting of the lines force in the fluid.


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How to Cite this Article:

Samia S. Elazab, Samy A. Rahman, Alfaisal A. Hasan, Nehad A. Zidan, Axisymmetric hydromagnetic stability of a streaming resistive hollow jet under oblique varying magnetic field, J. Math. Comput. Sci., 2 (2012), 473-500

Copyright © 2012 Samia S. Elazab, Samy A. Rahman, Alfaisal A. Hasan, Nehad A. Zidan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

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