Slip Flow in Porous Medium of Micropolar Fluid in a Rectangular Microchannel under the Effect of a Magnetic Field

The magnetohydrodynamic flow of micropolar fluid through porous medium inside the rectangular microchannel is investigated. The flow is subjected to a uniform magnetic field. This phenomenon is modulated mathematically by a system of linear differential equations which describe the continuity, momentum and angular momentum equations of the considered fluid. The system of differential equations has been solved analytically. We have obtained the velocity and microrotation vectors in terms of a Fourier series. The volumetric flow rate is calculated and the effect of various parameters like medium permeability, magnetic field, the Knudsen number, the microrotation parameter and coupling parameter are discussed and illustrated graphically through a set of figures.