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International Journal of Mathematics and Mathematical Sciences
Volume 2009, Article ID 981983, 8 pages
Research Article

On the Nusselt Solution of a Nonisothermal Two-Fluid Inclined Film Flow

Mathematics Group, Engineering Department, Brandenburg University of Applied Sciences, P.O. Box 2132, 14737 Brandenburg an der Havel, Germany

Received 18 August 2009; Revised 13 November 2009; Accepted 26 November 2009

Academic Editor: Hans Engler

Copyright © 2009 Jürgen Socolowsky. 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.


Nonisothermal viscous two-fluid flows occur in numerous kinds of coating devices. The corresponding mathematical models often represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In the present paper we are concerned with a particular problem of coupled heat and mass transfer. Marangoni convection is incorporated, too. The solvability of a corresponding stationary problem is discussed. The obtained results generalize previous results for a similar isothermal problem.