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Capillary Magnetogravitational Instability of a Fluid Layer Surrounded by Non- Bounded Liquid

Ahmed E. Radwan, Hussain E. Hussain


The capillary instability of magneto self-gravitational fluid layer surrounded by non-bounded liquid has been investigated. The problem is formulated, the partial differential equations has been solved based on the linear perturbation technique, the boundary conditions are applied and the eigenvalue relation is derived. This relation is valid for all kinds of perturbations. Such kind of studies have several applications in wide domains of science. The electromagnetic forces have strong stabilizing effects. The capillary force has no contribution in the unperturbed state while it has strong stabilizing influence for short waves on the model due to perturbations. The selfgravitating force is stabilizing or destabilizing according to restrictions. Numerically, the selfgravitating force is ordinary stabilizing as the net wavenumber is greater than 0:64 and vice versa where the model is marginally stable as the net wavenumber is equal to 0:64. The effects of the electromagnetic and capillary forces decrease the destabilizing character of the selfgravitating force and could suppressed it and stability sets in.


hydrodynamic stability, magnetohydrodynamic, capillary instability, non-bounded liquids

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