Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 1128-1136 |
| Journal | SIAM journal on applied mathematics |
| Volume | 60 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2000 |
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Keywords
- Species diffusion
- Stefan problem
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A generalized Stefan problem in a diffusion model with evaporation. / van de Fliert, B.W.; van der Hout, R.
In: SIAM journal on applied mathematics, Vol. 60, No. 4, 2000, p. 1128-1136.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - A generalized Stefan problem in a diffusion model with evaporation
AU - van de Fliert, B.W.
AU - van der Hout, R.
PY - 2000
Y1 - 2000
N2 - 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.
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
VL - 60
SP - 1128
EP - 1136
JO - SIAM journal on applied mathematics
JF - SIAM journal on applied mathematics
SN - 0036-1399
IS - 4
ER -