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Vol.14, No.3, 2014, pp.193–198 |
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THE ONSET OF THERMAL INSTABILITY OF VISCOELASTIC ROTATING FLUID PERMEATED WITH SUSPENDED PARTICLES IN POROUS MEDIUM G.C. Rana1, R. Chand2, H.S. Jamwal3 1)Department of Mathematics, Govt. College, Hamirpur, Himachal Pradesh, India, drgcrana15@gmail.com 2)Department of Mathematics, Govt. College, Nurpur, Himachal Pradesh, India 3)Department of Mathematics, NSCBM Govt. College, Hamirpur, Himachal Pradesh, India |
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Abstract In this paper, the effect of rotation on the onset of thermal instability in the viscoelastic fluid permeated with suspended (fine dust) particles in porous medium is investigated. For the porous medium, the Brinkman model is employed and for the viscoelastic fluid, the Rivlin-Ericksen fluid model is used. By applying linear stability theory and normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the rotation, suspended particles, gravity field and viscoelasticity introduce oscillatory modes. For stationary convection, the Rivlin-Ericksen elastico-viscous fluid behaves like an ordinary Newtonian fluid and it is observed that the rotation has stabilizing effect while suspended particles have a destabilizing effect on the system, whereas Darcy number and medium permeability have stabilizing/destabilizing effects under certain conditions. These results are in good agreement with earlier published results. Keywords: Brinkman porous medium, Rivlin-Ericksen fluid , rotation, suspended particles, viscoelasticity |
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