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Scholars Journal of Physics, Mathematics and Statistics | Volume-9 | Issue-01
For All Symmetric and Asymmetric Perturbation Modes, Self-Gravitating Stability of a Fluid Cylinder Embedded in a Confined Liquid Pervaded by Magnetic Field
Hamdy M. Barakat
Published: Jan. 5, 2022 | 145 156
DOI: 10.36347/sjpms.2022.v09i01.001
Pages: 1-6
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Abstract
For all symmetric and asymmetric perturbation modes, the self-gravitating stability of a fluid cylinder contained in a limited liquid penetrated by magnetic field has been explored. The (MHD) basic equations are solved after the problem is formulated. The results of an analytical study of a broad eigen-value relation are confirmed quantitatively. The stability of a fluid cylinder is investigated under the influence of self-gravitating, inertial, and electromagnetic forces. In ax symmetric states, the electromagnetic force has both stabilizing and destabilizing effects. The model is entirely stable for all wavelength values when the magnetic field strength is quite high. As we have superposed gas-oil layer combination fluids, this phenomenon is of interest both academically and during geological drilling in the earth's crust. When the model's destabilizing activity is decreased and inhibited, the model's stability behavior emerges.