Laminar Flow in Porous Channels Through Transverse Magnetic Field by Using Optimal Homotopy Analysis Method

Abstract

In this work, we have investigated the laminar flow in porous channels applying transverse magnetic field on it. We have reviewed the work of Suryaparkasarao et al.\cite{surya} in detailed. Suryaparkasarao et al. did this by reducing the order of the main equation to third order nonlinear differential equation which was derived after the simplification of Navier stokes equation and continuity equation. They have calculated the velocity components, pressure distribution and skin friction coefficients. Noreena et al. have solved same problem in two different ways. In the first part, they solved the forth order non-linear differential equation in a simplified way without reducing its order. In second part, they have employed Homotopy Perturbation method which is better approximation then regular perturbation method. We discuss the same problem with a different technique is known as Optimal Homotopy analysis method (OHAM). Finally, we compute the velocity components and compare these results .