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Article type: Research Article
Authors: Hasan, Alfaisal A.a; | Mekheimer, Khaled S.b | Tantawy, Bassem E.b
Affiliations: [a] Basic and Applied Sciences Department, College of Engineering and Technology, Arab Academy for Science, Technology and Maritime Transport, Sadat Road, Aswan, Egypt | [b] Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt
Correspondence: [*] Corresponding author: Alfaisal A. Hasan, Basic and Applied Sciences Department, College of Engineering and Technology, Arab Academy for Science, Technology and Maritime Transport (AASTMT), Sadat Road, P.O. Box 11 Aswan, Egypt. E-mail: [email protected]
Abstract: The present work studies magnetohydrodynamic stability with streaming resistive triple superposed fluid layers. This system is influenced by an oblique magnetic field. The solution of motion equations by using the method of perturbation analysis under the boundary conditions which leads to deriving the dispersion relationship describing the behaviour of the perturbed and unperturbed system. The effect of different parameters on the stability and the instability of this system was studied. Regions of stability and instability are identified by drawning the curves to illustrate the regions of stability and instability behaviour. It is found that the magnetic field permeability coefficient, the intensity of the magnetic field values, the increase of the fluids density values and the streaming velocity have destabilizing influences on the considered system. The presence of an oblique magnetic field plays a stabilizing role and can be used to retard the destabilizing influence.
Keywords: Self-gravitating, resistive, superposed fluids, streaming, oblique magnetic fields
DOI: 10.3233/JAE-190110
Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 63, no. 3, pp. 409-419, 2020
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