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The Stefan problem with variable thermophysical properties and phase change temperature

Author
Myers, T.; Hennessy, M.; Calvo, M.
Type of activity
Journal article
Journal
International journal of heat and mass transfer
Date of publication
2020-03-01
Volume
149
First page
118975: 1
Last page
118975:15
DOI
10.1016/j.ijheatmasstransfer.2019.118975
URL
https://www.sciencedirect.com/science/article/abs/pii/S0017931019331060 Open in new window
Abstract
In this paper we formulate a Stefan problem appropriate when the thermophysical properties are distinct in each phase and the phase-change temperature is size or velocity dependent. Thermophysical properties invariably take different values in different material phases but this is often ignored for mathematical simplicity. Size and velocity dependent phase change temperatures are often found at very short length scales, such as nanoparticle melting or dendrite formation; velocity dependence occu...

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