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.
Document type: | Preprint |
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Date Deposited: | 06 Oct 2009 15:37 |
Date: | 2009 |
Faculties / Institutes: | The Faculty of Mathematics and Computer Science > Institut für Mathematik |
DDC-classification: | 510 Mathematics |
Controlled Keywords: | Stefan-Problem |
Uncontrolled Keywords: | Stefan-Problem , Dissolution , Crystallization , Condensation , Convection |