Relativistic heat conduction

International Journal of Heat and Mass Transfer

Volumn 48, Issue 12, 2005, Pages 2397-2406

  Ali, Y M ^a   Zhang, L C ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Entropy; Hyperbolic; Relativity; Thermodynamics

Indexed keywords

CONTINUUM MECHANICS; HEAT FLUX; KINETIC THEORY; MICROSCOPIC EXAMINATION; MICROSTRUCTURE; RELATIVITY; STATISTICAL MECHANICS; THERMODYNAMICS; VECTORS;

HEAT PROPAGATION; HEAT-CONDUCTING MEDIUM; HYPERBOLIC HEAT CONDUCTION EQUATION (HHCE); SPACE-TIME DUALITY;

HEAT CONDUCTION;

CONDUCTION; HEAT TRANSFER;

EID: 17944366979     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2005.02.003     Document Type: Article

References (36)

1. C. Truesdell Great scientists of old as heretics in the scientific method 1987 University Press of Virginia Charlottesville p. 71
2. M. Chester Second sound in solids Phys. Rev. 131 15 1963 2013 2015
3. V. Peshkov Second sound in Helium II J. Phys. USSR 8 1944 381 383
4. K. Mitra, S. Kumar, A. Vedavarz, and M.K. Moallemi Experimental evidence of hyperbolic heat conduction in processed meat J. Heat Transfer, Trans. ASME 117 3 1995 568 573
5. D.Y. Tzou Shock wave formation around a moving heat source in a solid with finite speed of heat propagation Int. J. Heat Mass Transfer 32 10 1989 1979 1987
6. G.D. Mandrusiak Analysis of non-Fourier conduction waves from a reciprocating heat source J. Thermophys. Heat Transfer 11 1 1997 82 89
7. M. Xu, and L. Wang Thermal oscillation and resonance in dual-phase-lagging heat conduction Int. J. Heat Mass Transfer 45 5 2002 1055 1061
8. A. Barletta, and E. Zanchini Hyperbolic heat conduction and thermal resonances in a cylindrical solid carrying a steady-periodic electric field Int. J. Heat Mass Transfer 39 6 1996 1307 1315
9. A.H. Ali Statistical mechanical derivation of Cattaneo's heat flux law J. Thermophys. Heat Transfer 13 4 1999 544 546
10. C. Koerner, and H.W. Bergmann Physical defects of the hyperbolic heat conduction equation Appl. Phys. A: Mater. Sci. Process. 67 4 1998 397 401
11. A. Barletta, and E. Zanchini Hyperbolic heat conduction and local equilibrium: a second law analysis Int. J. Heat Mass Transfer 40 5 1997 1007 1016
12. Y.M. Ali, Experimental investigation on the dynamics of orthogonal metal cutting, Master Thesis, The American University, Cairo, 1993
13. H.S. Carslaw, and J.C. Jaeger Conduction of heat in solids second ed. 1959 University Press Oxford
14. E.R.G. Eckert, and R.M. Drake Analysis of heat and mass transfer 1972 McGraw-Hill Kogakusha, Tokyo
15. V.A. Ugarov Special theory of relativity 1979 Mir Publishers Moscow
16. P.M. Morse, and H. Feshbach Methods of theoretical physics 1953 McGraw-Hill New York
17. K.R. Atkins Liquid helium 1959 Cambridge University Press London
18. W. Kaminski Hyperbolic heat conduction for materials with a nonhomogeneous inner structure ASME J. Heat Transfer 112 3 1990 555 560
19. C.R. Cattaneo Sur une de l'équation de la chaleur éliminant le paradoxe d'une propagation instantanée Compte. Rend. 247 4 1958 431 433
20. P. Vernotte Les paradoxes de la theorie continue de l'équation de la chaleur Compte. Rend. 246 22 1958 3154 3155
21. H. Grad The kinetic theory of rarefied gases Commun. Pure Appl. Math. 2 4 1949 331 407
22. D.C. Kelly Diffusion: a relativistic appraisal Am. J. Phys. 36 7 1968 585 590
23. N.G. VanKampen A model for relativistic heat transport Physica A 46 1970 315 320
24. G. Kaniadakis Statistical mechanics in the context of special relativity Phys. Rev. E 66 5 2002 61 77
25. H.C. Ottinger Relativistic and nonrelativistic description of fluids with anisotropic heat conduction Physica A 254 1998 433 450
26. M.N. Ozisik, and D.Y. Tzou On the wave theory of heat conduction Trans. ASME, J. Heat Transfer 116 1994 526 540
27. B.A. Boley The analysis of problems of heat conduction and melting 1964 Pergamon New York pp. 260-315
28. D. Tang, and N. Araki Non-Fourier temperature response in a finite medium under oscillatory heating Trans. Japan Soc. Mech. Engnr., Part B 61 589 1995 3316 3320
29. C. Bai, and A.S. Lavine On hyperbolic heat conduction and the second law of thermodynamics J. Heat Transfer, Trans. ASME 117 2 1995 256 263
30. M.B. Rubin Hyperbolic heat conduction and the second law Int. J. Eng. Sci. 30 11 1992 1665 1676
31. D. Jou, J. Casas-Vazquez, and G. Lebon Extended irreversible thermodynamics second ed. 1996 Springer Berlin
32. Y.M. Ali, L.C. Zhang, Relativistic moving heat source, Int. J. Heat Mass Transfer, in press, doi:10.1016/j.ijheatmasstransfer.2005.02.004
33. L. Zhou, J. Shimizu, A. Muroya, and H. Eda Material removal mechanism beyond plastic wave propagation rate Precision Eng. 27 2 2003 109 116
34. N. Cristescu Dynamic plasticity 1967 North-Holland Publishing Amsterdam
35. H.J. Frost, and M.F. Ashby Deformation-mechanism maps 1982 Pergamon Oxford
36. Y. Bai, and B. Dodd Adiabatic shear localization 1992 Pergamon Oxford