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Original Articles

On a Two-Fluid Inclined Film Flow with Evaporation

Pages 22-31 | Received 19 Aug 2012, Accepted 04 Dec 2012, Published online: 29 Jan 2013
 

Abstract

This paper is concerned with a plane steady-state inclined film flow including evaporation effects. The motion is governed by a free boundary value problem for a coupled system of Navier–Stokes and Stefan equations. The flow domain is unbounded in two directions and it contains a geometrical perturbation on the inclined bottom. Existence and uniqueness of a suitable solution in weighted Sobolev spaces can be proved for small data (perturbation, inclination of the bottom) characterizing the problem.

AMS Subject Classification:

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