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Title: Hyperbolic heat conduction in two semi-infinite bodies in contact (English)
Author: López Molina, Juan Antonio
Author: Guillén, Macarena Trujillo
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940
Volume: 50
Issue: 1
Year: 2005
Pages: 27-42
Summary lang: English
Category: math
Summary: We find, under the viewpoint of the hyperbolic model of heat conduction, the exact analytical solution for the temperature distribution in all points of two semi-infinite homogeneous isotropic bodies that initially are at uniform temperatures $T_0^1$ and $T_0^2$, respectively, suddenly placed together at time $t=0$ and assuming that the contact between the bodies is perfect. We make graphics of the obtained temperature profiles of two bodies at different times and points. And finally, we compare the temperature solution obtained from hyperbolic model to the parabolic or classical solution, for the same problem of heat conduction. (English)
Keyword: hyperbolic heat conduction
Keyword: relaxation time
MSC: 35L20
MSC: 80A20
idZBL: Zbl 1099.80005
idMR: MR2117694
DOI: 10.1007/s10492-005-0002-6
Date available: 2009-09-22T18:20:19Z
Last updated: 2015-05-17
Stable URL:
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Reference: [4] M. S. Kazimi, C. A.  Erdman: On the interface temperature of two suddenly contacting materials.Journal of Heat Transfer, Ser. C 97 (1975), 615–617. 10.1115/1.3450441
Reference: [5] M. Lavrentiev, E. T.  Chabat: Méthodes de la théorie des fonctions d’une variable complexe.Mir, Moscow, 1977.
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