Title

ON THE FEATURES OF HEAT TRANSFER IN
ANISOTROPIC REGIONS WITH DISCONTINUOUS
THERMAL-PHYSICAL CHARACTERISTICS

Authors

Vladimir F. Formalev, Sergey A. Kolesnik,
Ekaterina L. Kuznetsova, Lev N. Rabinskiy
Department of Computing Mathematics and Programming
Moscow Aviation Institute
National Research University
125993, Volokolamsk Highway 4, Moscow, RUSSIAN FEDERATION
Department of Space Technology
Moscow Aviation Institute
National Research University
125993, st. Autumn 22, Moscow, RUSSIAN FEDERATION
Department of Applied Mechanics
Moscow Aviation Institute
National Research University
125993, Volokolamsk Highway 4, Moscow, RUSSIAN FEDERATION

Abstract

The authors simulate heat transfer in multilayer regions with anisotropic transfer characteristics. Heat conduction of each layer is described with a heat conduction tensor, so that both tensor components and the angles orientating the principal axes of heat conduction tensors become discontinuous at the boundaries of layer mating. It is determined that normal components of the heat flux density vector as well as temperature are continuous at the above boundaries, while tangential components may be discontinuous (i.e., the heat flux density vector is discontinuous at the boundaries between layers). The obtained form of normal component of the heat flux density vector for a free curvilinear boundary of the anisotropic region is suitable for application of economical numerical methods. To illustrate, the economical absolutely stable method of variable directions with extrapolation (developed by the authors) is applied. We discuss the results of numerical simulation that confirm continuity of normal components of the heat flux density vectors and discontinuities of the first kind for the tangential components at the interface between two anisotropic bodies.

History

Received: October 12, 2016
Revised: November 11, 2016
Published: December 11, 2016

AMS Classification, Key Words

AMS Subject Classification: 34C60, 37M05, 97M50
Key Words and Phrases: mathematical simulation, heat conduction, anisotropic regions, anisotropic bodies

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Bibliography

1

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2

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3

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4

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5

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6

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7

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8

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How to Cite?

DOI: 10.12732/ijpam.v111i2.14 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 111
Issue: 2
Pages: 303 - 317

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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