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

Research output: Contribution to journal › Article › Academic › peer-review

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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

Keywords

Species diffusion
Stefan problem

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title = "A generalized Stefan problem in a diffusion model with evaporation",

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.",

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AB - 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.

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KW - Stefan problem

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DO - 10.1137/S0036139997327599

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JF - SIAM journal on applied mathematics

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