Eur. Phys. J. Plus (2013) 128: 49
https://doi.org/10.1140/epjp/i2013-13049-5

Regular Article

MHD three-dimensional flow of couple stress fluid with Newtonian heating

¹³⁴⁰ Department of Mathematics, Faculty of Computing, Mohammad Ali Jinnah University, Islamabad Campus, Islamabad, Pakistan
²³⁴⁰ Department of Mathematics, Quaid-I-Azam University 45320, 44000, Islamabad, Pakistan
³³⁴⁰ Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, 21589, Jeddah, Saudi Arabia

^* e-mail: hfarooq99@yahoo.com

Received: 25 November 2012
Revised: 12 April 2013
Accepted: 12 April 2013
Published online: 22 May 2013

Abstract

Effects of Newtonian heating on the magnetohydrodynamic (MHD) three-dimensional flow past a stretching surface are analyzed. Mathematical formulation is completed using constitutive equations of couple stress fluid. A constant magnetic field normal to the surface is applied. Viscous dissipation and Joule heating effects are present. The transformation procedure reduces the involved partial differential equations into the ordinary differential equations. Series solutions of the resulting systems are constructed. The convergence of the obtained series solutions is seen through graphical results and tabular values. Numerical values of skin friction and the Nusselt number for different parameters are also tabulated and analyzed.