The hyperbolic heat conduction equation in an anisotropic material

Citation
Ma. Al-nimr et M. Naji, The hyperbolic heat conduction equation in an anisotropic material, INT J THERM, 21(1), 2000, pp. 281-287
Citations number
11
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
INTERNATIONAL JOURNAL OF THERMOPHYSICS
ISSN journal
0195928X → ACNP
Volume
21
Issue
1
Year of publication
2000
Pages
281 - 287
Database
ISI
SICI code
0195-928X(200001)21:1<281:THHCEI>2.0.ZU;2-7
Abstract
In this work. the phase-lag concept in the wave theory of heat conduction i s extended to describe the thermal behavior of an anisotropic material. Thi s is achieved by assuming that there are phase lags of different magnitudes between each component of the heat flux vector and the summation of temper ature gradients in all directions of the orthogonal coordinate system. Also , expressions are provided to specify the locations of the principal coordi nate axes, the principal thermal conductivities, and the principal thermal relaxation times.