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Zbl 1205.76304
Radwan, Ahmed E.; Hasan, Alfaisal A.
Magneto hydrodynamic stability of self-gravitational fluid cylinder. (English)
[J] Appl. Math. Modelling 33, No. 4, 2121-2131 (2009). ISSN 0307-904X

Summary: The self-gravitating instability of a fluid cylinder pervaded by magnetic field and endowed with surface tension has been discussed. The dispersion relation is derived and some reported works are recovered as limiting cases from it. The capillary force is destabilizing only in the small axisymmetric domain and stabilizing otherwise. The magnetic field has a strong stabilizing effect in all modes of perturbation for all wavelengths. The self-gravitating force is destabilizing in the axisymmetric perturbation. However the magnetic field effect modified a lot the destabilizing character of the model and could overcome the capillary and self-gravitating instability of the model for all short and long wavelengths.

MSC 2000:: *76W05 Flows in presence of electromagnetic forces
76D17 Viscous vortex flows

Keywords: magnetohydrodynamics and electrohydrodynamics; flow instability; self-gravitating stability

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Zentralblatt MATH Berlin [Germany]