Non-classical two-phase Stefan problem with variable thermal coefficients

Non-classical two-phase Stefan problem with variable thermal coefficients

We study a one-dimensional two-phase Stefan problem governed by diffusion-convection equations with a Dirichlet boundary condition at the fixed face, variable thermal coefficients and particular heat sources. A similarity solution is obtained through the solution to a system of integral equations. S...

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Veröffentlicht in:Journal of mathematical analysis and applications 2024-06, Vol.534 (1), p.128094, Article 128094
Hauptverfasser: Bollati, Julieta, Briozzo, Adriana C.
Format: Artikel
Sprache:eng
Schlagworte:
Diffusion-convection equation
Fixed point
Heat source
Similarity solution
Stefan problem
Temperature-dependent thermal coefficient
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Zusammenfassung:We study a one-dimensional two-phase Stefan problem governed by diffusion-convection equations with a Dirichlet boundary condition at the fixed face, variable thermal coefficients and particular heat sources. A similarity solution is obtained through the solution to a system of integral equations. Some particular cases are analyzed, providing also computational examples.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2024.128094