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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

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

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v9.i5.60
pages 463-468

MHD Instability of Rotating Superposed Walters B′ Viscoelastic Fluids through a Porous Medium

Pardeep Kumar
Department of Mathematics, International Centre for Distance Education and Open Learning (ICDEOL), Himachal Pradesh University, Shimla-171005, India
Roshan Lal
Department of Mathematics, ICDEOL, Himachal Pradesh University, Shimla-171005, India
Gursharn Jit Singh
Satish Chand Dhawan Government College (SCD), Ludhiana, Punjab, India

ABSTRACT

The Rayleigh−Taylor instability of Walters B′ viscoelastic fluids in a porous medium in the presence of uniform rotation and a variable magnetic field is considered. The magnetic field, viscosity, viscoelasticity, and density are assumed to be exponentially varying. For stable density stratification, the system is found to be stable for disturbances of wave numbers subject to the condition that v0 < k1⁄ε. The magnetic field stabilizes the potentially unstable stratification for small wave-length perturbations which are otherwise unstable. The long wave-length perturbations remain unstable and are not stabilized by a magnetic field. Rotation does not affect the stability or instability, as such, of a stratification.


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