THERMAL SCIENCE

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Amrish Kumar Aggarwal

,

Anushri Verma

THE EFFECT OF COMPRESSIBILITY, ROTATION AND MAGNETIC FIELD ON THERMAL INSTABILITY OF WALTERS’ FLUID PERMEATED WITH SUSPENDED PARTICLES IN POROUS MEDIUM

ABSTRACT
The purpose of this paper is to study the effects of compressibility, rotation, magnetic field and suspended particles on thermal stability of a layer of visco-elastic Walters’ (model) fluid in porous medium. Using linearized theory and normal mode analysis, dispersion relation has been obtained. In case of stationary convection, it is found that the rotation has stabilizing effect on the system. The magnetic field may have destabilizing effect on the system in the presence of rotation while in the absence of rotation it always has stabilizing effect. The medium permeability has destabilizing effect on the system in the absence of rotation while in the presence of rotation it may have stabilizing effect. The suspended particles and compressibility always have destabilizing effect. Due to vanishing of visco-elastic parameter, the compressible visco-elastic fluid behaves like Newtonian fluid. Graphs have also been plotted to depict the stability characteristics. The viscoelasticity, magnetic field and rotation are found to introduce oscillatory modes into the system which were non-existent in their absence.
KEYWORDS
compressibility, rotation, magnetic field, stability, visco-elastic fluid, suspended particles, porous medium and permeability
PAPER SUBMITTED: 2011-08-05
PAPER REVISED: 2012-06-08
PAPER ACCEPTED: 2012-06-08
DOI REFERENCE: https://doi.org/10.2298/TSCI110805087A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Supplement 2, PAGES [S539 - S550]
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The effect of compressibility, rotation and magnetic field on thermal instability of Walters’ fluid permeated with suspended particles in porous medium

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