Application of a new finite integral transform method to the wave model of conduction

International Journal of Heat and Mass Transfer

Volumn 47, Issue 3, 2004, Pages 573-588

  Duhamel, P ^a  

^a University of Paris Cité   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ENERGY CONSERVATION; MOLECULAR DYNAMICS; THERMODYNAMICS;

HYPERBOLIC CONDUCTION EQUATIONS;

HEAT CONDUCTION;

CONDUCTION; INTEGRAL MODELING; MODELING; WAVE;

EID: 0242286237     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(03)00385-5     Document Type: Article

References (21)

1. Duhamel P. A new finite integral transform pair for hyperbolic conduction problems in heterogeneous media Int. J. Heat Mass Transfer 44 2001 3307-3320
2. Cattaneo C. Sur une forme de l'équation de la chaleur éliminant le paradoxe d'une propagation instantanée C.R. Acad. Sci. 247 1958 431-433
3. Vernotte P. Les paradoxes de la théorie continue de l'équation de la chaleur C.R. Acad. Sci. 246 1958 3154-3155
4. Tzou D.Y. The generalized lagging response in small-scale and high-rate heating Int. J. Heat Mass Transfer 38 1995 3231-3240
5. Tang D.W. Araki N. Wavy, wavelike diffusive thermal responses of finite rigid slabs to high-speed heating of laser-pulses Int. J. Heat Mass Transfer 42 1999 855-860
6. Guillemet P. Bardon J.-P. Conduction de la chaleur aux temps courts: les limites spatio-temporelles des modèles parabolique et hyperbolique Int. J. Therm. Sci. 39 2000 968-982
7. Lor W.-B. Chu H.-S. Effect of interface thermal resistance on heat transfer in a composite medium using the thermal wave model Int. J. Heat Mass Transfer 43 2000 653-663
8. Kronberg A.E. Benneker A.H. Westerterp K.R. Note on wave theory in heat conduction a new boundary condition Int. J. Heat Mass Transfer 41 1998 127-137
9. Bai C. Lavine A.S. Thermal boundary conditions for hyperbolic heat conduction Heat Transfer Microscale, ASME, HTD 253 1993 37-44
10. S. Volz, Transferts de chaleur aux temps ultra-courts par la technique de la dynamique moléculaire, Thèse, Univ. de Poitiers, 1996
11. Volz S. Saulnier J.-B. Lallemand M. Perrin B. Depondt P. Mareschal M. Transient Fourier-law deviation by molecular dynamics in solid argon Phys. Rev. B 54 1996 340-347
12. Volz S. Lallemand M. Saulnier J.-B. Analyse de la conduction de la chaleur aux temps ultra-courts dans un solide par la thermodynamique irréversible étendue et la dynamique moléculaire Rev. Géné. Thermique 36 1997 826-835
13. A. Vedaraz, Heat waves in thermal conduction, PhD dissertation, Polytechnic University, NY, 1994
14. Frankel J.I. Vick B. Özisik M.N. General formulation and analysis of hyperbolic heat conduction in composite media Int. J. Heat Mass Transfer 30 1987 1293-1305
15. Mountain R.D. Mac Donald R.A. Thermal conductivity of crystals: a molecular-dynamics study of heat flow in a two-dimensional crystal Phys. Rev. B 28 1983 3022-3025
16. Volz S. Chen G. Molecular dynamics simulation of thermal conductivity of silicon nanowires Appl. Phys. Lett. 75 1999 2056-2058
17. Lukes J.R. Li D.Y. Liang X.-G. Tien C.-L. Molecular dynamics study of solid thin-film thermal conductivity J. Heat Transfer 122 2000 536-543
18. Baumeister K.J. Hamill T.D. Hyperbolic heat conduction equation: a solution for the semi-infinite body problem J. of Heat Transfer 91 1969 543-548
19. Flik M.I. Choi B.I. Goodson K.E. Heat transfer regimes in microstructures J. Heat Transfer 114 1992 666-674
20. Coleman B.D. Fabrizio M. Owen D.R. On the thermodynamics of second sound in dielectric crystal Arch. Ration. Mech. An. 80 1982 135-158
21. Bai C. Lavine A.S. On hyperbolic heat conduction and the second law of thermodynamics J. Heat Transfer 117 1995 256-263