Analysis of Stokes flow of micropolar fluid through a porous cylinder

Abstract

The present study concerns the Stokes flow of a micropolar fluid through a porous cylinder whose axis is perpendicular to the plane of the flow. Stream functions, velocities, fluid pressures, and stresses are evaluated for the corresponding fluid flow regions. Streamlines for various values of different parameters are plotted and discussed. Also, the fluid velocity vector and microrotation vector for inside and outside the cylinder are plotted for the different values of the viscosity coefficients and discussed for boundary conditions with continuity of couple stress/continuity of tangential stress. A comparative study of the streamlines, velocity components, and microrotation components is presented for two types of the boundary value problems. In case of boundary value problem with continuity of tangential stress, streamlines have circulatory behavior inside the porous cylinder whereas, streamlines have non‐circulatory nature in case of boundary value problem with continuity of couple stress.