Non-Newtonian fluid flow between parallel plates filled with an anisotropic porous medium

Abstract

Micropolar fluid flow through an anisotropic porous medium between two horizontally oriented impermeable plates under the effect of slip conditions for velocity and microrotation vectors at both plates are analysed in this paper. The permeability of an anisotropic porous medium is along two principal axes of permeability K1 and K2. The principal axis with permeability K2 forms an angle ψ with the horizontal direction called anisotropic (or orientation) angle. It is observed that the velocity and the microrotation profiles decrease as permeability ratio K and orientation angle ψ increase. Velocity slip (β1 and β2) parameters show the effect on the velocity profile near upper and lower plates but have a strong influence on the microrotation profile. The spin slip (σ1 and σ2) parameters showed minor enhancement in the velocity profile but had an increasing effect on the microrotation vector. The decrease in permeability ratio and anisotropic angle results in an increase in skin friction. The impact of other parameters like Darcy number Da, micropolar parameter N on velocity and microrotation vectors are presented graphically and discussed. The presence of the slip effect helps to reduce the impact of friction due to plates causing fluid flow to enhance.