The hyperbolic heat conduction equation in an anisotropic material

被引:6
作者
Al-Nimr, M [1 ]
Naji, M [1 ]
机构
[1] Jordan Univ Sci & Technol, Dept Mech Engn, Irbid 22110, Jordan
关键词
Thermal Conductivity; Heat Flux; Coordinate System; Relaxation Time; Temperature Gradient;
D O I
10.1007/s002310050353
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this work, the phase-lag concept in the wave theory of heat conduction is extended to describe the thermal behavior of anisotropic material. This is achieved by assuming that there are phase-lags of different magnitudes between each component of the heat flux vector and the summation of temperature gradients in all directions of the orthogonal coordinate system. Also, expressions are provided to specify the locations of the principal coordinate axes, the principal thermal conductivities and the principal thermal relaxation times.
引用
收藏
页码:493 / 497
页数:5
相关论文
共 10 条
[1]  
CATTANEO C, 1958, CR HEBD ACAD SCI, V247, P431
[2]   HYPERBOLIC HEAT-CONDUCTION DUE TO AXISYMMETRICAL CONTINUOUS OR PULSED SURFACE HEAT-SOURCES [J].
KIM, WS ;
HECTOR, LG ;
OZISIK, MN .
JOURNAL OF APPLIED PHYSICS, 1990, 68 (11) :5478-5485
[3]   PICOSECOND THERMAL PULSES IN THIN GOLD-FILMS [J].
MARCIAKKOZLOWSKA, J ;
MUCHA, Z ;
KOZLOWSKI, M .
INTERNATIONAL JOURNAL OF THERMOPHYSICS, 1995, 16 (06) :1489-1497
[4]   ON THE WAVE THEORY IN HEAT-CONDUCTION [J].
OZISIK, MN ;
TZOU, DY .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1994, 116 (03) :526-535
[5]   Non-Fourier heat conduction in a finite medium under periodic surface thermal disturbance [J].
Tang, DW ;
Araki, N .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1996, 39 (08) :1585-1590
[6]  
Tzou D.Y., 1997, MACRO MICROSCALE HEA, P01
[7]   A UNIFIED FIELD APPROACH FOR HEAT-CONDUCTION FROM MACRO-SCALES TO MICRO-SCALES [J].
TZOU, DY .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1995, 117 (01) :8-16
[8]  
VERMOTTE P, 1961, CR HEBD ACAD SCI, V252, P2190
[9]   GROWTH AND DECAY OF A THERMAL PULSE PREDICTED BY THE HYPERBOLIC HEAT-CONDUCTION EQUATION [J].
VICK, B ;
OZISIK, MN .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1983, 105 (04) :902-907
[10]  
Yuen WW, 1989, J HEAT TRANS-T ASME, V111, P178, DOI 10.1115/1.3250641