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Journal of Porous Media
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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v16.i12.10
pages 1063-1074

INSTABILITY OF HYDROMAGNETIC FLUIDS STREAMING IN A POROUS MEDIUM WITH SUSPENDED DUST PARTICLES

Praveen K. Sharma
BUIT, Barkatullah University Bhopal (M.P.)-462026, India; Indian Institute of Technology Hyderabad, Telangana
Anita Tiwari
BUIT, Barkatullah University Bhopal (M.P.)-462026, India
Rajendra K. Chhajlani
School of Studies in Physics, Vikram University Ujjain (M.P.)-456010, India

RÉSUMÉ

The Rayleigh−Taylor (R-T) and Kelvin−Helmholtz (K-H) instabilities of a plasma are discussed in a porous medium with a horizontal magnetic field and suspended dust particles. The medium is assumed to be incompressible. The linearized hydromagnetic equations are solved, and a dispersion relation for such a medium has been obtained using appropriate boundary conditions. We find that the dispersion relation is modified owing to the simultaneous presence of a magnetic field, porosity, and suspended particles. The instability criterion for the medium is derived, which is found to be independent of the presence of the suspended dust particles. Similarly, conditions of R-T and K-H instability of the system are also derived for the present porous medium.


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