Exact Solutions for Nonclassical Stefan Problems

We consider one-phase nonclassical unidimensional Stefan problems for a source function F which depends on the heat flux, or the temperature on the fixed face x=0. In the first case, we assume a temperature boundary condition, and in the second case we assume a heat flux boundary condition or a conv...

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Veröffentlicht in:International Journal of Differential Equations 2010-01, Vol.2010 (2010), p.602-620
Hauptverfasser: Briozzo, Adriana C., Tarzia, Domingo A.
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider one-phase nonclassical unidimensional Stefan problems for a source function F which depends on the heat flux, or the temperature on the fixed face x=0. In the first case, we assume a temperature boundary condition, and in the second case we assume a heat flux boundary condition or a convective boundary condition at the fixed face. Exact solutions of a similarity type are obtained in all cases.
ISSN:1687-9643
1687-9651
DOI:10.1155/2010/868059