Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 127320, 14 pages
http://dx.doi.org/10.1155/2012/127320
Research Article

Effects of Thermocapillarity and Thermal Radiation on Flow and Heat Transfer in a Thin Liquid Film on an Unsteady Stretching Sheet

R. C. Aziz,1 I. Hashim,2 and S. Abbasbandy3

1Faculty of Science and Technology, Open University Malaysia, 50480 Kuala Lumpur, Malaysia
2Solar Energy Research Institute, Universiti Kebangsaan Malaysia, Selangor, 43600 Bangi, Malaysia
3Department of Mathematics, Imam Khomeini International University, Ghazvin 34149-16818, Iran

Received 17 August 2011; Revised 20 October 2011; Accepted 26 October 2011

Academic Editor: Ben T. Nohara

Copyright © 2012 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

This paper examines the effects of thermocapillarity and thermal radiation on the boundary layer flow and heat transfer in a thin film on an unsteady stretching sheet with nonuniform heat source/sink. The governing partial differential equations are converted into ordinary differential equations by a similarity transformation and then are solved by using the homotopy analysis method (HAM). The effects of the radiation parameter, the thermocapillarity number, and the temperature-dependent parameter in this study are discussed and presented graphically via velocity and temperature profiles.