Abstract: Double-diffusive stationary and oscillatory instabilities in a saturated porous layer of an elastico-viscous fluid heated and salted from below are investigated theoretically under the Darcy’s framework for a porous medium. The contributions of Soret and Dufour coefficients are taken into account in the analysis and Walters’ (model B') fluid model is used to characterize the Viscoelastic fluid. A linear stability analysis based upon normal mode technique is used to find the critical value of Rayleigh number on the onset of stationary and oscillatory convection. The effects of Soret and Dufour parameters along with other physical parameters viz., Solutal Rayleigh numbers, Lewis number and that of permeability parameter on the stability of stationary convection are studied analytically and shown graphically. For stationary convection, the analysis reveals that the Walters’ (model B') elastico-viscous fluid behaves like an ordinary Newtonian fluid. The stable solute gradient have a stabilizing effect, Lewis number and permeability parameter has a destabilizing effect on the system whereas the Soret and Dufour parameters have destabilizing and stabilizing effects on the system. The analysis also shows that the stationary convection is followed by the oscillatory convection for Walters’ (model B') elastico-viscous fluid. In the limiting cases some important results have been recovered.
Keywords: Double diffusive convection, Soret and Dufour effects, Walters’ (model B') fluid, Porous medium.
Title: Thermosolutal Convection in Walters (Model B’) Elastico-Viscous Fluid in Porous Medium In the Presence of Soret and Dufour Effects
Author: Megh Raj Goyal, Anubhav Goyal
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
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