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Magnetogravitodynamic stability of streaming fluid cylinder under the effect of capillary force

Alfaisal A Hasan1* and Rasha A Abdelkhalek2

Author Affiliations

1 Basic and Applied Sciences Department, College of Engineering and Technology, Arab Academy for Science & Technology and Maritime Transport (AASTMT), Elhorria, P.O. Box 2033, Cairo, Egypt

2 Physics and Engineering Mathematics Department, Faculty of Engineering (Mattria), Helwan University, Cairo, Egypt

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Boundary Value Problems 2013, 2013:48  doi:10.1186/1687-2770-2013-48

Published: 7 March 2013


The magnetohydrodynamic stability criterion of self-gravitating streaming fluid cylinder under the combined effect of self-gravitating, magnetic, and capillary forces has been derived. The results are discussed analytically and some data are verified numerically for different parameters of the problem. The magnetic and capillary forces are stabilizing, but the streaming is destabilizing while the self-gravitating is stabilizing or destabilizing according to restrictions. The stable and unstable domains are identified and, moreover, the influences of the magnetic and capillary forces on the self-gravitating instability of the model have been examined. Including the magnetic force together with self-gravitating force improves the instability of the model. However, the self-gravitating instability will never be suppressed whatever the effects of the MHD force stabilizing effects are.

self-gravitating; magnetohydrodynamic; capillary; streaming