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Journal of Porous Media

Impact factor: 0.707

ISSN Print: 1091-028X
ISSN Online: 1934-0508

Journal of Porous Media

DOI: 10.1615/JPorMedia.v13.i9.20
pages 779-798

MAGNETOGRAVITATIONAL INSTABILITY OF THERMALLY CONDUCTING ROTATING VISCOELASTIC FLUID WITH HALL CURRENT IN BRINKMAN POROUS MEDIUM

Mohamed F. El-Sayed
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis (Roxy), Cairo, Egypt
None
R. A. Mohamed
Department of Physics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo; Department of Mathematics, Faculty of Sciences, South Valley University, Qena, Egypt

ABSTRACT

Magnetohydrodynamic instability of a self-gravitating, thermally finitely conducting, Rivlin-Ericksen viscoelastic fluid rotating in a general direction through a Brinkman porous medium in the presence of Hall current and vertical magnetic field was investigated. A general dispersion relation has been derived through relevant linearized perturbation equations. The cases when the axes of rotation were parallel or perpendicular to the direction of magnetic field were investigated separately for both longitudinal and transverse wave propagations. It has been observed that a condition of instability is determined by Jean's criterion in its modified form. The effects of various parameters on the stability of this system are studied numerically, and they showed that different behaviors depend on the corresponding case, as summarized in the Conclusions section.