A generalized Stefan problem in a diffusion model with evaporation

B.W. van de Fliert; R. van der Hout

doi:10.1137/S0036139997327599

A generalized Stefan problem in a diffusion model with evaporation

B.W. van de Fliert, R. van der Hout

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Abstract

A model for species diffusion is presented,with evaporation at a moving free boundary. The resulting problem resembles a one-phase Stefan problem with superheating,but the usual Stefan condition at the moving boundary is replaced by a version which,in the classical setting, would violate conservation of energy. In the fast evaporation limit,ho wever,the problem reduces to a classical nonlinear Stefan problem with negative latent heat.

Original language	English
Pages (from-to)	1128-1136
Journal	SIAM journal on applied mathematics
Volume	60
Issue number	4
DOIs	https://doi.org/10.1137/S0036139997327599
Publication status	Published - 2000

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Keywords

Species diffusion
Stefan problem

Cite this

van de Fliert, B. W., & van der Hout, R. (2000). A generalized Stefan problem in a diffusion model with evaporation. SIAM journal on applied mathematics, 60(4), 1128-1136. https://doi.org/10.1137/S0036139997327599

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Access to Document

10.1137/S0036139997327599

VandeFliert2000generalizedFinal published version, 120 KB