Three-dimensional radiative flow with variable thermal conductivity and porous medium

T. Hayat; S. A. Shehzad; F. E. Alsaadi; A. Alsaedi

doi:10.1140/epjp/i2013-13067-3

EPJ

Three-dimensional radiative flow with variable thermal conductivity and porous medium

T. Hayat¹^,2, S. A. Shehzad¹^*, F. E. Alsaadi³ and A. Alsaedi²

¹ Department of Mathematics, Quaid-i-Azam University, 45320, 44000, Islamabad, Pakistan
² Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80203, 21589, Jeddah, Saudi Arabia
³ Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, 21589, Jeddah, Saudi Arabia

Received: 23 February 2013
Accepted: 27 May 2013
Published online: 25 June 2013

Abstract

This investigation deals with the three-dimensional boundary layer flow in a porous medium. The flow is induced by an exponentially stretching surface. Analysis is presented in the presence of heat transfer. Two cases, namely prescribed surface temperature (PST) and prescribed surface heat flux (PHF), are considered. Effects of thermal radiation are also present. The nonlinear partial differential equations are reduced into the ordinary differential equations. Series solutions are developed for the velocities and temperatures. Convergence of series solutions is checked via graphs and numerical values. Results are displayed and discussed for both PST and PHF cases.