Table of Contents
ISRN Applied Mathematics
Volume 2011, Article ID 927416, 11 pages
Research Article

Radiation-Conduction Interaction of Steady Streamwise Surface Temperature Variations on Vertical Free Convection

1Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh
2Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh

Received 11 August 2011; Accepted 21 September 2011

Academic Editors: G. Kyriacou and F. Wang

Copyright Β© 2011 Md. Kutub Uddin and Rabindra Nath Mondal. 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.


The combined effects of the steady free convective boundary-layer flow induced by a vertical heated surface in the presence of sinusoidal surface temperature variations about a constant mean value with the effect of radiation are examined. The problem is studied using fully numerical techniques. The surface rate of heat transfer eventually alternates in sign with distance from the leading edge, but no separation occurs unless the amplitude of the thermal modulation is sufficiently high. Numerical results are obtained for different values of the physical parameters, the radiation parameter 𝑅 𝑑 , the Prandtl number Pr, and the surface temperature wave amplitude a. It is found that both the local shear stress and the rate of heat transfer decrease when values of 𝑅 𝑑 increase.