Abstract
Similarity solutions for a mathematical model for thawing in a saturated semi-infinite porous medium is considered when change of phase induces a density jump and a heat flux condition of the type \( - q_0 t^{ - (1/2)} \) is imposed on the fixed face x = 0. Different cases depending on physical parameters are analysed and the explicit solution is obtained if and only if an inequality for the thermal coefficient q 0 is verified. An improvement for the existence of a similarity solution for the same free boundary problem with a constant temperature on the fixed face x = 0 is also obtained.
Sommario. Vengono considerate soluzioni di similarità per un modello matematico di disgelo di un mezzo poroso saturo semi-infinito allorquando il cambiamento di fase induce un salto di densità ed una condizione di flusso di calore del tipo \(q_0\) viene imposta sulla faccia fissa x = 0. Si analizzano differenti casi dipendenti da parametri fisici e la soluzione esplicita viene ottenuta se e solo se risulta verificata una diseguaglianzo per il coefficiente termico q 0. Si ottiene altresi un miglioramento della condizione di esistenza di una soluzione di similarità per lo stesso problema al contorno libero con temperatura costante sulla faccia fissa x = 0.
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Lombardi, A.L., Tarzia, D.A. Similarity Solutions for Thawing Processes with a Heat Flux Condition at the Fixed Boundary. Meccanica 36, 251–264 (2001). https://doi.org/10.1023/A:1013963424649
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DOI: https://doi.org/10.1023/A:1013963424649