Investigation of MHD effects on micropolar-Newtonian fluid flow through composite porous channel

The present study investigates the influence of uniform magnetic field on the flow of a Newtonian fluid sandwiched between two micropolar fluid layers through a rectangular (horizontal) porous channel. Fluid flow in the every region is steady, incompressible and the fluids are immiscible. Uniform magnetic field is applied in a direction perpendicular to the direction of fluid motion. The governing equations of micropolar fluid are expressed in Eringen's approach and further modified by Nowacki's approach. For respective porous channels, expressions for linear velocity, microrotations, stresses (shear and couple) are obtained analytically. Continuity of velocities, continuity of microrotations and continuity of stresses are employed at the porous interfaces; conditions of no slip and no spin are applied at the impervious boundaries of the composite channel. Numerical values of flow rate, wall shear stresses and couple stresses at the porous interfaces are evaluated by MATHEMATICA and listed in tables. Graphs of flow rate and fluid velocity are plotted and their behaviors discussed.

Automated summary

The present study investigates the influence of a uniform magnetic field on the flow of a Newtonian fluid sandwiched between two micropolar fluid layers through a porous channel. The governing equations are expressed in Eringen's approach and modified by Nowacki's approach. Analytical expressions for velocity, microrotations, and stresses are obtained, and numerical values are evaluated using MATHEMATICA.