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Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.277 SNIP: 0.52 CiteScore™: 1.3

ISSN Druckformat: 2151-4798
ISSN Online: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

DOI: 10.1615/SpecialTopicsRevPorousMedia.v1.i4.20
pages 295-309

HYDROMAGNETIC INSTABILITY OF A CONTINUOUSLY STRATIFIED FLUID LAYER IN A POROUS MEDIUM WITH A VARIABLE OBLIQUE MAGNETIC FIELD

Mohamed El-Sayed
Ph. D.
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

ABSTRAKT

The effect of a general oblique magnetic field with linearly varying horizontal component on the stability of a continuously stratified fluid layer in porous medium has been investigated. The solution is characterized by a variational principle. The exact solution and stability conditions are obtained for such a system in the case of a nonporous medium. Numerical results, for a porous medium, indicate that the inclination angle of the oblique magnetic field has a dual role on the stability of the considered system, while the inclination angle of the wavenumber has a stabilizing effect. It is also found that the porosity of the porous medium has a stabilizing effect, while the kinematic viscosity has a destabilizing effect for a small wavenumber range and a stabililizing effect for other wavenumber values. The medium permeability has a stabilizing effect in the same wavenumber range and a destabilizing effect for other wavenumber values. The buoyancy forces have stabilizing effects on the considered system, which is unstable in absence of buoyancy forces. The density stratification has a destabilizing effect, while the variable horizontal component of the magnetic field has a stabilizing effect on the considered system. The cases of both horizontal and vertical magnetic fields have also been considered, and the obtained results are compared to the case of an oblique magnetic field. The obtained results for the cases of vertical magnetic field and transverse disturbance are found to be almost similar.


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