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 which axis is perpendicular to the plane of flow. Stream functions, velocities, fluid pressures and stresses are evaluated for 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, microrotation components is presented for two types of the boundary value problems.

Effect of Magnetic Field on Newtonian Fluid Sandwiched Between Non-Newtonian Fluids Through Porous Cylindrical Shells

“…Substituting the analytical expressions of fluid velocities from equations ( 18) and (20) in the equation (30), we are capable to determine the mathematical expression for volumetric flow rate of Newtonian-micropolar fluid flow. Therefore, analytical expression of the volumetric flow rate comes out as:…”

“…In cylindrical polar coordinates, generalized version of the stream function solution of Brinkman equation is obtained [19]. Recently, Maurya et al [20] In the absense of magnetic field, body forces and body couples, governing equations of an incompressible steady micropolar fluid flow in the Eringen approach, are given by…”

Effect of magnetic field on Newtonian fluid sandwiched between non-Newtonian fluids through porous cylindrical shells

“…Substituting the analytical expressions of fluid velocities from equations (18) and (20) in the equation (30), we are capable to determine the mathematical expression for volumetric flow rate of Newtonian-micropolar fluid flow. Therefore, analytical expression of the volumetric flow rate comes out as: conductivity ratio parameter (Λ 2 = 0.25).…”

“…In cylindrical polar coordinates, generalized version of the stream function solution of Brinkman equation is obtained [19]. Recently, Maurya et al [20] investigated the Stokes flow of non-Newtonian fluid flowing through a porous cylinder and presented a comparison of flow pattern for two types of boundary value problems.…”