Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 314989, 18 pages
Research Article

Series Solutions for Marangoni Convection on a Vertical Surface

Department of Analysis, University of Miskolc, Miskolc-Egyetemváros 3515, Hungary

Received 30 September 2011; Revised 10 December 2011; Accepted 11 December 2011

Academic Editor: Moran Wang

Copyright © 2012 Gabriella Bognár and Krisztián Hriczó. 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 problem of steady, laminar, thermal Marangoni convection flow of Newtonian fluid over a flat surface is investigated. The boundary layer equations for the momentum and energy equations are transformed with the similarity solutions to ODEs to obtain the analytical approximate solutions. The analysis assumes that the temperature variation is a power law function of the location. The approximate solutions to the similarity equations are obtained by exponential series. The effects of the power law exponent and Prandtl number on the velocity and temperature profiles are presented.