Mathematical simulation of laminar micropolar fluid flow between two disks for two different geometries

Abstract

In the present article, the physical behavior of an incompressible, laminar, and steady micropolar fluid flow among disks is analyzed for two different cases. Case I includes a rigid and a porous disk and case II includes two porous disks. By developing appropriate transformations, the governing equations are declined to a group of boundary value equations. The differential transformation scheme and the differential quadrature method are utilized to find the solutions to the problem. The outcomes are described to investigate the distribution of velocity and microrotation for various physical variables such as Reynolds number, microinertia density variable, the viscosity of vortex, and gradient viscosity of spin. By comparing the results obtained for the two geometries, it can be concluded that the microrotation and streamwise velocity in two porous disks (case II) are higher than those of case I. Furthermore, the results show that the microrotation reduces with increasing the micro-inertia density for both geometries.