Josef Stefan and his evaporation–diffusion tube—the Stefan diffusion problem

In 1871, Josef Stefan published a diffusion model that later became one of the fundamental models of transport phenomena, the Stefan–Maxwell (sometimes called the Maxwell–Stefan) diffusion relation. In his last paper on diffusion, which appeared in 1889, Stefan treated the evaporation–diffusion proc...

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Bibliographic Details
Published inChemical engineering science Vol. 75; pp. 279 - 281
Main Author Mitrovic, Jovan
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 18.06.2012
Subjects
Analytical solution
Diffusion
Evaporation
Interface conditions
Moving interface
Stefan problem
Moving interface
Evaporation
Stefan problem
Diffusion
Interface conditions
Analytical solution
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Summary:In 1871, Josef Stefan published a diffusion model that later became one of the fundamental models of transport phenomena, the Stefan–Maxwell (sometimes called the Maxwell–Stefan) diffusion relation. In his last paper on diffusion, which appeared in 1889, Stefan treated the evaporation–diffusion process in a vertical tube with a moving interface, and gave a complete analytical solution to this problem. This process – known as the Stefan diffusion problem – is frequently referred to in the literature. However, Stefan's own solution to this problem is not mentioned, and its existence seems to be unknown in scientific circles. The present note reproduces the Stefan's treatment of that evaporation–diffusion process.
ISSN:0009-2509
1873-4405
DOI:10.1016/j.ces.2012.03.034