Eur. Phys. J. Plus (2016) 131: 3
https://doi.org/10.1140/epjp/i2016-16003-1

Regular Article

Melting heat transfer on hydromagnetic flow of a nanofluid over a stretching sheet with radiation and second-order slip

¹ Department of Mathematics, University of Peshawar, Peshawar, Pakistan
² Department of Mathematics, A.B.N.Seal College, 736101, Cooch Behar, West Bengal, India

^* e-mail: mabood1971@yahoo.com

Received: 23 January 2015
Accepted: 24 November 2015
Published online: 7 January 2016

Abstract

The present paper is devoted to the analysis of MHD flow and melting heat transfer of a nanofluid over a stretching surface taking into account a second-order slip model and thermal radiation. Similarity solutions for the transformed governing equations are obtained. The reduced equations are solved numerically by applying a shooting technique using the Runge-Kutta Fehlberg method. The influences of the various involved parameters on velocity profiles, temperature profiles, concentration profiles as well as reduced skin friction coefficient, Nusselt number and Sherwood number are discussed through graphs and tables. These results show that the second-order slip flow model is necessary to predict the flow characteristics accurately in the presence of thermal radiation and melting effect.