International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 981983, 8 pages
doi:10.1155/2009/981983
On the Nusselt solution of a nonisothermal two-fluid inclined film flow
Jürgen Socolowsky
Mathematics Group, Engineering Department, Brandenburg University of Applied Sciences, P.O. Box 2132, 14737 Brandenburg an der Havel, Germany
Abstract
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.