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Journal of Applied Mathematics
Volume 2012, Article ID 750939, 14 pages
http://dx.doi.org/10.1155/2012/750939
Research Article

Thermal Diffusion and Diffusion Thermo Effects on MHD Thermosolutal Marangoni Convection Boundary Layer Flow over a Permeable Surface

1Institute of Engineering Mathematics, Universiti Malaysia Perlis, Taman Bukit Kubu Jaya, Jalan Sarawak, 02000 Kuala Perlis, Malaysia
2Institute for Mathematical Research and Department of Mathematics, Universiti Putra Malaysia, 43400 Serdang, Malaysia

Received 6 January 2012; Revised 1 March 2012; Accepted 15 March 2012

Academic Editor: Hiroshi Kanayama

Copyright © 2012 R. A. Hamid 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

The problem of thermal diffusion and diffusion thermo effects on thermosolutal Marangoni convection flow of an electrically conducting fluid over a permeable surface is investigated. Using appropriate similarity transformations, the governing system of partial differential equation is transformed to a set of nonlinear ordinary differential equations, then solved numerically using the Runge-Kutta-Fehlberg method. The effects of thermal diffusion and diffusion thermo, magnetic field parameter, thermosolutal surface tension ratio, and suction/injection parameter on the flow field, heat transfer characteristic, and concentration are thoroughly examined. Numerical results are obtained for temperature and concentration profiles as well as the local Nusselt and Sherwood numbers are presented graphically and analyzed. It is found that these governing parameters affect the variations of the temperature and concentration and also the local Nusselt and Sherwood numbers.