A synthesis of tortuosity and dispersion in effective thermal conductivity of porous media

International Journal of Heat and Mass Transfer

Volumn 53, Issue 15-16, 2010, Pages 3222-3230

  Yang, C ^a,b   Nakayama, A ^a,c  

^a SHIZUOKA UNIVERSITY   (Japan)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c WUHAN POLYTECHNIC UNIVERSITY   (China)

Author keywords

Dispersion; Effective thermal conductivity; Porous media; Tortuosity

Indexed keywords

EFFECTIVE THERMAL CONDUCTIVITY; EMPIRICAL CORRELATIONS; ENERGY EQUATION; EXPERIMENTAL DATA; FLUID PHASIS; GENERAL EXPRESSION; IN-LINE ARRANGEMENT; POROUS FOAMS; POROUS MEDIA; THERMAL DISPERSION; THERMAL DISPERSION CONDUCTIVITY; UNIT CELL MODELS; VOLUME AVERAGING THEORY;

DISPERSIONS; FLUIDS; PACKED BEDS; POROUS MATERIALS; THERMAL CONDUCTIVITY; THERMAL CONDUCTIVITY OF SOLIDS; THERMOANALYSIS;

THERMAL CONDUCTIVITY OF LIQUIDS;

EID: 77953290269     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2010.03.004     Document Type: Article

References (32)

1. Maxwell J.C. A Treatise on Electricity and Magnetism (1873), Clarendon Press, Oxford p. 365
2. Rayleigh L. On the influence of obstacles arranged in rectangular order upon on the properties of a medium. Philos. Mag. 56 (1892) 481-502
3. Deissler R.G., and Boegli J.S. An investigation of effective thermal conductivities of powders in various gases. ASME Trans. 80 (1958) 1417-1425
4. Kunii D., and Smith J.M. Heat transfer characteristics of porous rocks. AIChE J. 6 (1960) 71-78
5. Zehner P., and Schlunder E.U. Thermal conductivity of granular material at moderate temperatures. Chem. Ing. Tech. 42 (1970) 933-941
6. Nozad S., Carbonell R.G., and Whitaker S. Heat conduction in multiphase systems, I: theory and experiments for two-phase systems. Chem. Eng. Sci. 40 (1985) 843-855
7. Sahraouni M., and Kaviany M. Slip and non-slip temperature boundary conditions at interface of porous, plain media: conduction. Int. J. Heat Mass Transfer 36 (1993) 1019-1033
8. Hsu C.T., Cheng P., and Wong K.W. Modified Zehner-Schlunder models for stagnant thermal conductivity of porous media. Int. J. Heat Mass Transfer 37 (1994) 2751-2759
9. Hsu C.T., Cheng P., and Wong K.W. A lumped parameter model for stagnant thermal conductivity of spatially periodic porous media. ASME Trans. J. Heat Transfer 117 (1995) 264-269
10. Calmid V.V., and Mahajan R.L. The effective thermal conductivity of high porosity fibrous metal foams. ASME Trans. J. Heat Transfer 121 (1999) 466-471
11. Calmid V.V., and Mahajan R.L. Forced convection in high porosity metal foams. ASME Trans. J. Heat Transfer 122 (2000) 557-565
12. Chang W.S. Porosity and effective thermal conductivity of wire screens. ASME Trans. J. Heat Transfer 112 (1990) 5-9
13. Kaviany M. Principles of Heat Transfer in Porous Media (1991), Springer-Verlag, New York pp. 115-151
14. Hsu C.T. Heat conduction in porous media. In: Vafai K. (Ed). Handbook of Porous Media (2000), Marcel Dekker, Inc., New York 171-200
15. Nakayama A. PC-Aided Numerical Heat Transfer and Convective Flow (1995), CRC Press, Boca Raton
16. Cheng P. Heat transfer in geothermal systems. Adv. Heat Transfer 14 (1978) 1-105
17. Quintard M., and Whitaker S. One and two equation models for transient diffusion processes in two-phase systems. Adv. Heat Transfer 23 (1993) 369-465
18. Wakao N., and Kaguei S. Heat and Mass Transfer in Packed Beds (1996), Gordon and Breach, New York
19. Yagi S., Kunii D., and Wakao N. Studies on axial effective thermal conductivities in packed beds. AIChE J. 6 (1960) 543-546
20. Taylor G. Dispersion of solute matter in solvent flowing slowly through a tube. Proc. R. Soc. Lond. 15 (1953) 1787-1806
21. Aris R. On the dispersion of a solute in a fluid flowing through a tube. Proc. R. Soc. Lond. 235 (1956) 67-77
22. Koch D.L., and Brady J.F. Dispersion in fixed beds. J. Fluid Mech. 154 (1985) 399-427
23. Han N.W., Bhakta J., and Carbonell R.G. Longitudinal and lateral dispersion in packed beds: effect of column length and particle size distribution. AIChE J. 31 (1985) 277-288
24. Vortmeyer D. Axial heat dispersion in packed beds. Chem. Eng. Sci. 30 (1975) 999-1001
25. Kuwahara F., Nakayama A., and Koyama H. A numerical study of thermal dispersion in porous media. Trans. ASME J. Heat Transfer 118 (1996) 756-761
26. Kuwahara F., and Nakayama A. Numerical determination of thermal dispersion coefficients using a periodic porous structure. Trans. ASME J. Heat Transfer 121 (1999) 160-163
27. Nakayama A., Kuwahara F., and Kodama Y. An equation for thermal dispersion flux transport and its mathematical modelling for heat and fluid flow in a porous medium. J. Fluid Mech. 563 (2006) 81-96
28. Nakayama A., Kuwahara F., Sugiyama M., and Xu G.L. A two-energy equation model for conduction and convection in porous media. Int. J. Heat Mass Transfer 44 (2001) 4375-4379
29. VanSant J.H., and Malet J.R. Thermal conductivity of some heat pipe wicks. Lett. Heat Mass Transfer 2 (1975) 199-206
30. Launder B.E., and Spalding D.B. The numerical computation of turbulent flow. Comput. Methods Appl. Mech. Eng. 3 (1974) 269-289
31. Nakayama A., and Kuwahara F. A general macroscopic turbulence model for flows in packed beds, channels, pipes and rod bundles. J. Fluids Eng. 130 (2008) 101205-1-101205-7
32. Fried J.J., and Combarnous M.A. Dispersion in porous media. Adv. Hydrosci. 7 (1971) 169-282