Eur. Phys. J. Plus (2014) 129: 28
https://doi.org/10.1140/epjp/i2014-14028-0

Regular Article

Unsteady free convection flow near an infinite vertical plate with prescribed surface heat flux and skin friction

¹ COMSATS Institute of Information Technology, Kamra Road, 43600, Attock, Pakistan
² City University of Science and Information Technology, 25000, Peshawar, Pakistan
³ Technical University “Gheorghe Asachi” of Iasi, Bd. D. Mangeron nr. 67, 700050, Iasi, Romania

^* e-mail: sohailahmad27@gmail.com

Received: 3 September 2013
Revised: 6 November 2013
Accepted: 9 January 2014
Published online: 14 February 2014

Abstract

The unsteady free convection flow of an incompressible viscous fluid over an infinite vertical plate, under prescribed forms of the surface shear and heat flux, is numerically studied. The governing partial differential equations are transformed in a non-dimensional system of nonlinear ordinary differential equations, whose solutions are obtained by means of the Bulirsch-Stoer method. The influence of pertinent parameters on the dimensionless velocity and temperature fields is graphically underlined. The friction parameter γ and the heat flux coefficient q have a meaningful influence especially on the velocity.