Soret Driven Instability in an Anisotropic Porous Layer Saturated by a Darcy-Maxwell Nanofluid

Abstract

A theoretical and numerical study has been made of a Soret driven Darcy-Maxwell anisotropic porous medium filled with nanofluid. The linear theory of stability analysis is employed and the well-known normal mode procedure is used to test the stability/instability. It is established that stationary mode Rayleigh number independent from relaxation time parameter and modified particle-density increment. The modified particle-density increment does not affect the oscillatory Rayleigh number. A comparison between an isotropic porous medium and an anisotropic porous medium has been made. The presence of nanoparticles helps in early convection while the solute parameter tries to stop early convection. The solute parameter does not change its destabilizing nature with the Soret parameter although the Soret parameter creates resistance in early convection. Soret effect increases the stationary Rayleigh number means to delay the convection. The mechanical anisotropy parameter is responsible for early convection while thermal anisotropy parameters delay the convection.