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Article

Vala, Jiří
On the computational identification of temperature-variable characteristics of heat transfer. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 215-224
MSC: 35K05, 35R30, 80A20 | MR 3204446 | Zbl 1340.80009
Keywords:
pseudomonotone mapping; radiation effect; inverse problem
Summary:
The mathematical analysis of a heat equation and its solutions is a standard part of most textbook of applied mathematics and computational mechanics. However, serious problems from engineering practice do not respect formal simplifications of such analysis, namely at high temperatures, for phase-change materials, etc. This paper, motivated by the material design and testing of a high-temperature thermal accumulator, as a substantial part of the Czech-Swedish project of an original equipment for exploiting solar energy using optical fibres, demonstrates the possibility of both direct and inverse analysis, physically transparent and mathematically correct, paying attention to the set of basic temperature-variable characteristics of thermal transfer.
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