Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 613230, 15 pages
Research Article

Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform Method

Engineering Faculty of Bu-Ali Sina University, P.O. Box 65175-4161, Hamedan, Iran

Received 2 February 2010; Accepted 3 August 2010

Academic Editor: Dane Quinn

Copyright © 2010 Mohammad Mehdi Rashidi and Seyyed Amin Mohimanian pour. 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 differential transform method (DTM) is applied to the steady three-dimensional problem of a condensation film on an inclined rotating disk. With similarity method, the governing equations can be reduced to a system of nonlinear ordinary differential equations. The approximate solutions of these equations are obtained in the form of series with easily computable terms. The velocity and temperature profiles are shown and the influence of Prandtl number on the temperature profiles is discussed in detail. The validity of our solutions is verified by the numerical results.