Study of heat transfer in multilayered structure within the framework of dual-phase-lag heat conduction model using lattice Boltzmann method

International Journal of Heat and Mass Transfer

Volumn 46, Issue 1, 2003, Pages 55-69

  Ho, Jeng Rong ^a   Kuo, Chun Pao ^a   Jiaung, Wen Shu ^a  

^a NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; INTERFACES (MATERIALS); REFLECTION;

MULTILAYERED STRUCTURES;

HEAT CONDUCTION;

CONDUCTION; HEAT TRANSFER; MATHEMATICAL ANALYSIS; MODEL; MULTILAYER CONSTRUCTION;

EID: 0141684920     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(02)00260-0     Document Type: Article

References (43)

1. Frankel J.I. Vick B. Ozisik M.N. General formulation and analysis of hyperbolic heat conduction in composite media Int. J. Heat Mass Transfer 30 7 1987 1293-1305
2. Cattaneo C. A form of heat conduction equation which eliminates the paradox of instantaneous propagation Compte Rendus 247 1958 431-433
3. Vernotte P. Some possible complications in the phenomena of thermal conduction Compte Rendus 252 1961 2190-2191
4. Tzou D.Y. Macro-to microscale heat transfer: the lagging behavior 1996 25-29 Taylor - Francis Washington, DC
5. Joseph D.D. Preziosi L. Heat waves Rev. Mod. Phys. 61 1 1989 41-73
6. Joseph D.D. Preziosi L. Addendum to the paper "Heat waves" Rev. Mod. Phys. 62 2 1990 375-391
7. Ozisik M.N. Tzou D.Y. On the wave theory in heat conduction J. Heat Transfer, ASME Trans. 116 1994 526-535
8. Taitel Y. On the parabolic, hyperbolic and discrete formulation of the heat conduction equation Int. J. Heat Mass Transfer 15 1972 369-371
9. Korner C. Bergmann H.W. The physical defects of the hyperbolic heat conduction equation Appl. Phys. A 67 1998 397-401
10. Bai C. Lavine A.S. On the hyperbolic heat conduction and the second law of thermodynamics J. Heat Transfer, ASME Trans. 117 1995 256-263
11. Tzou D.Y. A unified field approach for heat conduction from micro-to macro-scales J. Heat Transfer, ASME Trans. 117 1995 8-16
12. Tzou D.Y. The generalized lagging response in small-scale and high-rate heating Int. J. Heat Mass Trans. 38 1995 3231-3240
13. Tzou D.Y. Experimental support for the lagging response in heat propagation AIAA J. Thermophys. Heat Transfer 9 1995 686-693
14. Al-Nimr M.A. Al-Huniti N.S. Transient thermal stresses in a thin elastic plate due to a rapid dual-phase-lag heating J. Thermal Stresses 23 2000 731-746
15. Tzou D.Y. Chen J.K. Thermal lagging in random media J. Thermophys. Heat Transfer 12 4 1998 567-574
16. Antaki P.J. Solution for non-Fourier dual phase lag heat conduction in a semi-infinite slab with surface heat flux Int. J. Heat Mass Transfer 41 14 1998 2253-2258
17. Al-Nimr M.A. Naji M. Arbaci V.S. Nonequilibrium entropy production under the effect of the dual-phase-lag heat conduction model ASME J. Heat Transfer 122 2000 217-222
18. Al-Nimr M. Naji M. On the phase-lag effect on the nonequilibrium entropy production Microscale Thermophys. Eng. 4 2000 231-243
19. Tzou D.Y. Chiu K.K.S. Depth of thermal penetration: Effect of relaxation and thermalization J. Thermophys. Heat Transfer 13 2 1999 266-269
20. Antaki P.J. Effect of dual-phase-lag heat conduction on ignition of a solid J. Thermophys. Heat Transfer 14 2 2000 276-278
21. Tzou D.Y. Chiu K.S. Temperature-dependent thermal lagging in ultrafast laser heating Int. J. Heat Mass Transfer 44 2001 1725-1734
22. Chen J.K. Beraun J.E. Tzou D.Y. A dual-phase-lag diffusion model for predicting thin film growth Semicond. Sci. Technol. 15 2000 235-241
23. Chen J.K. Beraun J.E. Tzou D.Y. A dual-phae-lag diffusion model for interfacial layer growth in metal matrix composites J. Mater. Sci. 34 1999 6183-6187
24. Chen J.K. Beraun J.E. Tzou D.Y. A dual-phase-lag diffusion model for predicting intermetallic compound layer growth in solder joints ASME J. Electron. Packaging 123 2001 52-57
25. Cahill D.G. Heat transport in dielectric thin films and at solid-solid interfaces Tien C.L. Majumdar A. Gerner F.M. Microscale energy transport 1998 95-117 Taylor - Francis Washington, DC
26. Ozisik M.N. Vick B. Propagation and reflection of thermal waves in a finite medium Int. J. Heat Mass Transfer 37 10 1984 1845-1854
27. Tzou D.Y. Reflection and refraction of thermal waves from a surface or an interface between dissimilar materials Int. J. Heat Mass Transfer 36 2 1993 401-410
28. Lor W.-B. Chu H.-S. Propagation of thermal waves in a composite medium with interface thermal boundary resistance Numer. Heat Transfer A 36 1999 681-697
29. 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
30. Qiu T.Q. Tien C.L. Femtosecond laser heating of multi-layer metals-I. Analysis Int. J. Heat Mass Transfer 37 17 1994 2789-2797
31. Ho J.R. Grigoropolous C.P. Humphrey J.A.C. Computational study of heat transfer and gas dynamics in the pulsed laser evaporation of metals J. Appl. Phys. 78 7 1995 4696-4709
32. Angelucci N. Bianco N. Thermal transient analysis of thin film multilayers heated by pulsed laser Int. J. Heat Mass Transfer 40 18 1997 4487-4491
33. Gunstensen A.K. Rothman D.H. Zaleski S. Zanetti G. Lattice Boltzmann model of immiscible fluids Phys. Rev. A 43 1991 4320-4327
34. Shan X. Chen H. Lattice Boltzmann model for simulating flows with multiple phases and components Phys. Rev. E 47 1993 1815-1819
35. Alexander F.J. Chen S. Sterling J.D. Lattice Boltzmann thermodynamics Phys. Rev. E 47 1993 2249-2252
36. Shan X. Simulation of Rayleigh-Benard convection using a lattice Boltzmann method Phys. Rev. E 55 1997 2780-2788
37. Chen S. Doolen G.D. Lattice Boltzmann method for fluid flows Annu. Rev. Fluid Mech. 30 1998 329-364
38. Wolf-Gladrow D. Lattice-gas cellular automata and lattice Boltzmann models: An introduction 2000 Springer-Verlag Berlin, Heidelberg
39. Wolf-Gladrow D. A lattice Boltzmann equation for diffusion J. Stat. Phys. 79 1995 1023-1032
40. Jiaung W.S. Ho J.R. Kuo C.P. Lattice Boltzmann method for heat conduction problem with phase change Numer. Heat Transfer B 39 2001 167-187
41. Yan G. A lattice Boltzmann equation for waves J. Comput. Phys. 161 2000 61-69
42. van der Sman R.G.M. Ernst M.H. Berkenbosch A.C. Lattice Boltzmann scheme for cooling of packed cut flows Int. J. Heat Mass Transfer 43 2000 577-587
43. Prakash G.S. Reddy S.S. Das S.K. Sundararajan T. Seetaramu K.N. Numerical modelling of microscale effects in conduction for different thermal boundary conditions Numer. Heat Transfer A 38 2000 513-532