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Instability of a rotating magnetized fluid layer immersed into non-bounded liquid

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Abstract

In the present paper, the capillary stability force of a rotating magnetized fluid layer immersed into non-bounded liquid has been analyzed. The equations of motions are deduced in three dimensions (x, y, z) . The equations are linearized for small amplitude perturbations and the dispersion relation has been derived and it was solved numerically. The conditions of stability and instability have been calculated. Fluid layer immersed into non-bounded liquid has been analyzed. We deduced that, the capillary force has stabilizing effect, the rotating force has a destabilizing tendency, the densities ratio values is stabilizing according to restrictions, the electromagnetic forces have strong stabilizing effects.

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Authors and Affiliations

  1. Faculty of Science, Department of Mathematics, Ain Shams University, Cairo, Egypt

    Mourad F. Dimian

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  1. Mourad F. Dimian
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Correspondence to Mourad F. Dimian.

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Dimian, M.F. Instability of a rotating magnetized fluid layer immersed into non-bounded liquid. Eur. Phys. J. Plus 126, 125 (2011). https://doi.org/10.1140/epjp/i2011-11125-6

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  • DOI: https://doi.org/10.1140/epjp/i2011-11125-6

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