Journal of Applied Mathematics
Volume 2013 (2013), Article ID 487586, 9 pages
http://dx.doi.org/10.1155/2013/487586
Research Article

Flow and Heat Transfer in a Liquid Film over a Permeable Stretching Sheet

R. C. Aziz,1 I. Hashim,2 and A. K. Alomari3

1Faculty of Science and Technology, Open University Malaysia, 50480 Kuala Lumpur, Malaysia
2Centre for Modelling and Data Analysis, School of Mathematical Sciences, The National University of Malaysia, 43600 Bangi, Malaysia
3Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa 13115, Jordan

Received 26 November 2012; Accepted 11 December 2012

Academic Editor: Subhas Abel

Copyright © 2013 R. C. Aziz et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An analysis has been carried out to study the flow and heat transfer in a liquid film over a permeable stretching sheet. Using similarity transformations, the time-dependent boundary layer equations are reduced to a set of nonlinear ordinary differential equations. The resulting parameter problem and velocity as well as temperature fields are solved using the homotopy analysis method (HAM). Analytic series solutions are given, and numerical results for velocity and the temperature profiles are presented through graphs of different values for pertinent parameter. The effects of unsteadiness parameter and permeability parameter on the velocity and temperature profiles are explored for different values of blowing or suction parameter.