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

Keywords

Species diffusion
Stefan problem

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10.1137/S0036139997327599

VandeFliert2000generalizedFinal published version, 120 KB

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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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AU - van der Hout, R.

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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.

KW - Species diffusion

KW - Stefan problem

U2 - 10.1137/S0036139997327599

DO - 10.1137/S0036139997327599

M3 - Article

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SP - 1128

EP - 1136

JO - SIAM journal on applied mathematics

JF - SIAM journal on applied mathematics

SN - 0036-1399

IS - 4

ER -

A generalized Stefan problem in a diffusion model with evaporation

Abstract

Keywords

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