An analytical study of heat andmass transport in bénard-darcy convection with G-Jitter and variable viscosity liquids in porous media

Abstract

This research article deals with the thermorheological effect of temperature dependent viscous fluid in the presence of imposed time periodic gravity modulation. We perform weak non-linear analysis of gravity modulation with temperature dependent viscosity using the power series expansion in terms of the amplitude of gravity modulation, which is considered to be small for double-diffusive convection in porous media. Nusselt number and Sherwood number are calculated numerically through the non-autonomous equation involving amplitude of convection using Ginzburg-Landau equation. We explore the non-linear effect of solute Rayleigh number, Lewis number, Vadász number, thermorheological parameter and amplitude of gravity modulation analytically. The curve for heat and mass transfer with respect to slow time variation is depicted graphically. Furthermore we also draw streamlines, isotherms, and isohalines at different times. © 2019 by Begell House, Inc.