Oscillatory Mode of Darcy-Rayleigh Convection in a Viscoelastic Double Diffusive Binary Fluid Layer Saturated Anisotropic Porous Layer

Abstract

The onset of Darcy-Rayleigh convection in a viscoelastic double diffusive binary fluid layer saturated in an anisotropic porous with temperature dependent viscosity is investigated numerically. The system is heated from below and cooled from above. The critical Rayleigh number from the double diffusive binary fluid were obtained by using the Galerkin expansion procedure. The effects of strain retardation and thermal anisotropy parameter slow down the formation of heat transfer when their values are increased and stabilized the system. Meanwhile, the stress relaxation, Darcy-Prandtl, and mechanical anisotropy parameter enhanced the heat transfer mechanism rapidly in the convection when the values are increased thus destabilize the system.