Modelling of free boundary problems for phase change with diffuse interfaces.
Sanyal, Dipayan, Rao, P.Ramachandra, Gupta, O.P. (2005)
Mathematical Problems in Engineering
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Sanyal, Dipayan, Rao, P.Ramachandra, Gupta, O.P. (2005)
Mathematical Problems in Engineering
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Osmolovskiĭ, V.G. (2004)
Journal of Mathematical Sciences (New York)
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Laurent Desvillettes, François Golse, Valeria Ricci (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This work studies the heat equation in a two-phase material with spherical inclusions. Under some appropriate scaling on the size, volume fraction and heat capacity of the inclusions, we derive a coupled system of partial differential equations governing the evolution of the temperature of each phase at a macroscopic level of description. The coupling terms describing the exchange of heat between the phases are obtained by using homogenization techniques originating from [D. Cioranescu,...
Vala, Jiří
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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...
Marian Smoluchowski (1924)
Pisma Mariana Smoluchowskiego
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Hukum Chand Agrawal (1977)
Publications de l'Institut Mathématique
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Moitsheki, Raseelo J., Rowjee, Atish (2011)
Mathematical Problems in Engineering
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Elena Comparini, Domingo A. Tarzia (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Chen, Xiao Dong, Nguang, Sing Kiong (2003)
Journal of Applied Mathematics and Decision Sciences
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Watson, Neil A. (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Zakaria Habibi (2012)
ESAIM: Proceedings
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This paper focuses on the contribution of the second order corrector in periodic homogenization applied to a conductive-radiative heat transfer problem. Especially, for a heat conduction problem in a periodically perforated domain with a non-local boundary condition modelling the radiative heat transfer, if this model contains an oscillating thermal source and a thermal exchange with the perforations, the second order corrector helps us to model the gradients which appear between the...
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Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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G. K. Dhawan, D. D. Paliwal (1977)
Publications de l'Institut Mathématique
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