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Magnetodynamic stability of a fluid cylinder under the lundquist force-free magnetic field

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Abstract

The magnetodynamic (in)stability of a conducting fluid cylinder subject to the capillarity and electromagnetic forces has been developed. The cylinder is pervaded by a uniform magnetic field but embedded in the Lundquist force-free varying field that allows for flowing a current surrounding the fluid. A general eigenvalue relation is derived based on a study of the equilibrium and perturbed states. The stability criterion is discussed analytically in general terms. The surface tension is destabilizing for small axisymmetric mode and stable for all others. The principle of the exchange of stability is allowed for the present problem due to the non-uniform behaviour of the force-free field. Each of the axial and transverse force-free fields separately exerts a stabilizing influence in the most dangerous mode but the combined contribution of them is strongly destabilizing. Whether the model is acted upon the electromagnetic force (with the Lundquist field) the stability restrictions or/and the capillarity force are identified.

Several reported works can be recovered as limiting cases with appropriate simplifications.

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Author notes

  1. Ahmed E. Radwan

    Present address: Department of Mathematics, Centre of Science & Mathematics and T.T.J. College, Dammam, Kingdom of Saudi Arabia

Authors and Affiliations

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

    Ahmed E. Radwan & Mohamed A. Halawa

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  1. Ahmed E. Radwan
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  2. Mohamed A. Halawa
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Radwan, A.E., Halawa, M.A. Magnetodynamic stability of a fluid cylinder under the lundquist force-free magnetic field. Astrophys Space Sci 166, 183–192 (1990). https://doi.org/10.1007/BF01094891

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  • DOI: https://doi.org/10.1007/BF01094891

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