Analytical approach for micropolar fluid flow in a channel with porous walls

Abstract

This article aims to analyze and reach new physical achievements in a well-known nonlinear problem of two-dimensional, steady, and steady micropolar fluid flow between two parallel permeable porous walls. Micropolar fluids are considered a class of non-Newtonian fluids. The nonlinear governing equations of this problem were analyzed using two analytical methods. The achievements and novelty of this article, apart from showing the application of two mathematical methods in solving non-linear equations, are more about achieving new results that are obtained from solving the governing equations of this article. From the results, it is obvious that with the raise of the coupling parameter, other dimensionless parameters increase, except for the dimensionless microrotation. Also, when the spin gradient viscosity parameter increases, all the average values of the mentioned dimensionless parameters increase. From the problem's solution, it is clear that when the micro-inertia density ratio increases across the channel, all the average values of the dimensionless parameters decrease except for the dimensionless flow function characteristics. Also, when the Peclet number for the heat diffusion parameter is changed, it only affects the dimensionless temperature profile. When the Peclet number for the mass diffusion parameter is changed, it only affects the dimensionless concentration profile.