Eur. Phys. J. Plus (2014) 129: 261
https://doi.org/10.1140/epjp/i2014-14261-5

Regular Article

Magnetohydrodynamic flow of water/ethylene glycol based nanofluids with natural convection through a porous medium

¹ Department of Mathematics & Statistics, IIUI, Islamabad, Pakistan
² Department of Mechanical Engineering, University of California, California, USA

^* e-mail: rellahi@engr.ucr.edu

Received: 4 July 2014
Revised: 13 October 2014
Accepted: 10 November 2014
Published online: 5 December 2014

Abstract

In this study, the natural convection boundary layer flow along with inverted cone, magnetic and heat generation on water and ethylene glycol based nanofluids is considered by means of variable wall temperature. Porous medium is also taken into account. The physical problem is first modeled and then the governing equations are transformed into nonlinear ordinary differential equations under the assumptions of the Boussinesq approximation. Analytical solutions of nonlinear coupled equations are obtained by the homotopy analysis method. Correlation of skin friction and heat transfer rate corresponding to active parameters is also presented. Obtained results are illustrated by graphs and tables in order to see the effects of physical parameters.