Eur. Phys. J. Plus (2019) 134: 1
https://doi.org/10.1140/epjp/i2019-12286-x

Regular Article

Unsteady magneto-hydrodynamics flow between two orthogonal moving porous plates

¹ Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan
² Department of Mathematics, University of the Punjab, Lahore, Pakistan
³ Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

^* e-mail: kashifali@uet.edu.pk

Received: 24 April 2017
Accepted: 28 September 2018
Published online: 8 January 2019

Abstract

An investigation has been performed to describe the unsteady MHD, laminar, incompressible and two-dimensional motion of viscous fluid between two orthogonal moving porous plates. The similarity transformation is adopted to amend the governing model into a non-linear problem of the ordinary differential equation. The homotopy analysis method (HAM) is then invoked to get the approximate solution. The influence of different substantial parameters such as wall permeable ratio, Reynold's number and Hartmann number are explained in detail. A further HAM's comparison is shown with an efficient numerical technique.