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THERMAL CONVECTION IN WALTERSâ�?�?Bâ�?² VISCOELASTIC FLUID IN A DARCY â�?�?BRINKMAN POROUS MEDIUM WITH EFFECT OF DUSTY PARTICLES

K. Thirumurugan , R. Vasanthakumari

The problem of convection of compressible waltersâ�?�?B′ viscoelastic fluid in a Darcy – Brinkman porous medium with effect of dusty particles is considered . By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It has been found that the medium permeability, dusty particles, gravity field and viscoelasticity introduce oscillatory modes. For stationary convection, it is found that the Darcy number has stabilizing effect whereas the dusty particles and medium permeability has destabilizing effects on the system. The effect of dusty particles, Darcy number and medium permeability have also been shown graphically.