Stability of a compressible fluid cylinder ambient with a bounded conducting medium under general varying magnetic fields |
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| Authors: | Ahmed E Radwan |
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| Institution: | (1) Department of Mathematics, Faculty of Science, Ain-Shams University, Abbasia, Cairo, Egypt;(2) Present address: Department of Mathematics, Centre of Science and Mathematics and T.T.J. College, Dammam, Kingdom of Saudi Arabia |
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| Abstract: | The stability of a compressible fluid cylinder pervaded by a longitudinal uniform magnetic field-ambient with a bounded conducting medium of negligible inertia penetrated with general varying vacuum magnetic fields has been developed. The stability criterion describing the stability characteristics of that model is derived and discussed analytically in general terms. The axial fields have always stabilizing influences. The azimuthal vacuum field has a destabilizing effect, however, it becomes minimal if the perturbed and the unperturbed vacuum fields are not orthogonal. The magnetodynamic instability of the fluid jet is modified in the presence of the fluid compressibility. The stabilizing influence due to the latter may be realized more clearly on utilizing the numerical methods for investigating the eigenvalue relation.Several reported works can be recovered as limiting cases with appropriate simplifications. |
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