JP Journal of Heat and Mass Transfer
Volume 5, Issue 1, Pages 11 - 39
(February 2011)
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SIMULTANEOUS DETERMINATION OF UNKNOWN COEFFICIENTS THROUGH A PHASE-CHANGE
PROCESS WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY
Natalia N. Salva and Domingo A. Tarzia
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Abstract: Formulas are obtained for the simultaneous determination of two or three unknown thermal coefficients of a semi-infinite material with temperature-dependent thermal conductivity through a phase-change process with an overspecified condition on the fixed face through a moving boundary problem (inverse Stefan problem) or a free boundary problem (Stefan problem), respectively. We complete and improve the analysis done in Tarzia [24] and we also study the sensitivity of the solution depending on different thermal parameters, applied to aluminum. |
Keywords and phrases: Stefan problem, unknown thermal coefficients, PCM, sensitivity analysis, inverse problem, free boundary problem, phase-change process, moving boundary problem. |
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