Semi Analytical Solution of Boundary-Layer Flow of a Micropolar Fluid through a Porous Channel

In this study, the problem of boundary-layer flow of a micropolar fluid through a porous channel is dealt with. The flow occurs due to suction and injection at the walls of the channel. The micropolar fluid fills the space inside the channel. The similarity transformations are applied to reduce governing partial differential equations (PDEs) to a set of nonlinear coupled ordinary differential equations (ODEs) in dimensionless form. An efficient mathematical technique, called the differential transform method (DTM), is used to solve the nonlinear differential equations governing the problem in the form of series with easily computable terms. Graphical results are presented to investigate the influence of the pertinent parameters on the velocity and micro-rotation. The results illustrate the reliability and the performance of the DTM in comparison with the numerical method (forth-order Runge-Kutta) in solving this problem.