Existence of Solution for a Model of Film Condensation and Crystallization

Heida, Martin

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Abstract

A model for vapor transport with condensation and evaporation on a solid-air interface is set up. It consists of a convection-diffusion equation describing vapor transport, an ordinary equation describing condensation and a Stefan-type equation on with convection describing energy transport. The proof of existence of a solution is based on a method used by J.F. Rodriguez in several publications on the convective Stefan problem. The new part in this system is a lower-dimensional Stefan problem on the air-solid interface that describes possible freezing of the condensed water. TheModel described in this article could also be applied to crystalization problems.

Item Type:	Preprint
Date:	2009
Faculties / Institutes:	The Faculty of Mathematics and Computer Science > Department of Applied Mathematics
Subjects:	510 Mathematics
Controlled Keywords:	Stefan-Problem
Uncontrolled Keywords:	Stefan-Problem , Dissolution , Crystallization , Condensation , Convection