Mathematical modeling of radiative-conductive heat transfer in semitransparent medium with phase change

A mathematical phase change model is a formulation of the Stefan problem. Various formulations of the Stefan problem modeling of radiative-conductive heat transfer during melting or solidification of a semitransparent material are presented. Analysis of numerical results show that the radiative heat...

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Bibliographic Details
Main Authors: Savvinova, Nadezhda A., Sleptsov, Semen D., Rubtsov, Nikolai A.
Format: Conference Proceeding
Language:English
Subjects:
Conductive heat transfer
Heat transfer
Mathematical analysis
Mathematical models
Phase change
Phase transitions
Radiative heat transfer
Solidification
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Summary:A mathematical phase change model is a formulation of the Stefan problem. Various formulations of the Stefan problem modeling of radiative-conductive heat transfer during melting or solidification of a semitransparent material are presented. Analysis of numerical results show that the radiative heat transfer has a significant effect on temperature distributions during melting (solidification) of the semitransparent material. In this paper conditions for application of various statements of the Stefan problem are analyzed.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5012656