Non-classical Stefan problem with nonlinear thermal coefficients and a Robin boundary condition

A non-classical one dimensional Stefan problem with thermal coefficients temperature dependent and a Robin type condition at fixed face x=0 for a semi-infinite material is considered. The source function depends on the evolution the heat flux at the fixed face x=0. Existence of a similarity type sol...

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Veröffentlicht in:	Nonlinear analysis: real world applications 2019-10, Vol.49, p.159-168
Hauptverfasser:	Briozzo, Adriana C., Natale, María Fernanda
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Boundary conditions Convective boundary condition Free boundaries Heat flux Latent heat Non-classical heat equation Nonlinear integral equations Nonlinear thermal coefficient Similarity solution Stefan problem Temperature dependence
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Zusammenfassung:	A non-classical one dimensional Stefan problem with thermal coefficients temperature dependent and a Robin type condition at fixed face x=0 for a semi-infinite material is considered. The source function depends on the evolution the heat flux at the fixed face x=0. Existence of a similarity type solution is obtained and the asymptotic behaviour of free boundary with respect to latent heat fusion is studied. The analysis of several particular cases are given.
ISSN:	1468-1218 1878-5719
DOI:	10.1016/j.nonrwa.2019.03.002