Effect of Gravity and Throughflow on Double Diffusive Convection in a Couple Stress Fluid Saturated Porous Media

Sravan Nayeka Gaikwad; Preeti Bhushan Rangdal

doi:10.37934/arfmts.101.1.121136

Authors

Sravan Nayeka Gaikwad Department of Mathematics, Gulbarga University, Kalaburagi - 585 106, Karnataka, India
Preeti Bhushan Rangdal Department of Mathematics, Gulbarga University, Kalaburagi - 585 106, Karnataka, India

DOI:

https://doi.org/10.37934/arfmts.101.1.121136

Keywords:

Gravity modulation, throughflow, couple stress fluid, weakly non-linear theory, Ginzburg-Landau model

Abstract

We have investigated effect of throughflow and gravity modulation on double diffusive convection with couple-stress fluid saturated porous media. Applying the Landau model, we have derived finite amplitude of couple-stress convection in the presence of gravity modulation. The presence of a couple-stress parameter produces both diminishing and enhancing heat mass transfer in the layer. To present the results we have used Mathematica to obtain the Nusselt number and Sherwood numbers numerically. Further, it is shown that, throughflow and modulation of gravity controls double diffusive convection through convective amplitude and alter transport phenomenon.