Effective thermal conductivity of frost consideringmass diffusion and eddy convection

Special Topics and Reviews in Porous Media

Volumn 1, Issue 4, 2010, Pages 321-336

  Kandula, Max ^a  

^a KENNEDY SPACE CENTER   (United States)

Author keywords

Eddy convection; Effective thermal conductivity; Porous media; Vapor diffusion; Water frost; Zehner Schlunder model

Indexed keywords

EDDY CONVECTION; EFFECTIVE THERMAL CONDUCTIVITY; POROUS MEDIA; VAPOR DIFFUSION; ZEHNER-SCHLUNDER MODEL;

DIFFUSION; FROST EFFECTS; POROUS MATERIALS; THERMAL CONDUCTIVITY OF SOLIDS; VAPORS;

THERMAL CONDUCTIVITY OF LIQUIDS;

EID: 79955915992     PISSN: 21514798     EISSN: 2151562X     Source Type: Journal    
DOI: 10.1615/SpecialTopicsRevPorousMedia.v1.i4.40     Document Type: Article

References (51)

1. Abels, H., Bcobachtungen der ẗaglichen periode der temperatur im schnee und bestimmung des ẅarmeleitungsverm̈ogens des schnees als funktion seiner, Rep. Meteor., vol. 16, no. 1, pp. 1-53, 1893.
2. Andrews, T., Observations on pure ice and snow, Proc. R. Soc., London, vol. 40, pp. 544-549, 1886.
3. Arons, E. M. and Colbeck, S. C., Geometry of heat and mass transfer in dry snow: a review of theory and measurement, Rev. Geophys., vol. 33, pp. 463-493, 1995.
4. Arons, E. M. and Colbeck, S. C., Effective medium approximation for the conductivity of sensible heat in dry snow, Int. J. Heat Mass Transfer, vol. 41, pp. 2653-2666, 1998. (Pubitemid 28424758)
5. Auracher, H., Effective thermal conductivity of frost, Proc. of International Symposium of Heat and Mass Transfer in Refrigeration Cryogenics, Dubrovnik, pp. 285-302, 1986.
6. Biguria, G. and Wenzel, L. A., Measurement and correlation ofwater frost conductivity and density, I&EC Fund., vol. 9, pp. 129-138, 1970.
7. Brian, P. L. T., Reid, R. C., and Shah, Y. T., Frost deposition on cold surfaces, I&EC Fund., vol. 9, pp. 375-380, 1970.
8. Burghardt, M. D., Engineering Thermodynamics with Applications, 2nd ed., Harper & Row, New York, 1972.
9. Cheng, P. and Hsu, C.-T., The effective stagnant thermal conductivity of porous media with periodic structures, J. Porous Media, vol. 2, pp. 19-38, 1999.
10. Cheng, P. and Vortmeyer, D., Transverse thermal dispersion and wall channeling in a packed bed with forced convective flow, Chem. Eng. Sci., vol. 9, pp. 2523-2532, 1988.
11. Cheng, C.-H. and Wu, K.-K., Observations of early-stage frost formation on a cold plate in atmospheric air flow, ASME J. Heat Transfer, vol. 125, pp. 95-102, 2003. (Pubitemid 36615126)
12. Coles, W. D., Experimental determination of thermal conductivity of low density ice, NACA Tech. Note 3143, 1954.
13. Devaux, J., Radiothermic economy of fields of snow and glaciers, Sci. Abstracts Series A, vol. 36, pp. 980-981, 1933 (abstracted from Ann. Phys., vol. 20, pp. 5-67, 1933).
14. Dietenberger, M. A., Generalized correlation of the water frost thermal conductivity, Int. J. Heat Mass Transfer, vol. 26, pp. 607-619, 1983.
15. Dillard, D. S. and Timmerhaus, K. D., Low temperature thermal conductivity of selected dielectric crystalline solids, Proc. of 8th Conference on Thermal Conductivity, Ho, C. T. and Taylor, R. E. (eds.), Plenum Press, New York, pp. 949-967, 1969.
16. Du, J., Hu, X., Wu, W., and Wang, B. X, Thermal dispersion model for single phase flow in porous media, Heat Transfer- Asian Res., vol. 32, pp. 545-552, 2003. (Pubitemid 37232306)
17. Emery, E. F. and Siegel, B. L., Experimental measurements of the effects of frost formation on heat exchanger performance, Proc. of AIAA/ASME Thermophysics and Heat Transfer Conference, Heat and Mass Transfer in Frost and Ice Packed Beds and Environmental Discharges, Armili, R. V., Beasley, D. E., and Sengupta, S. R. (eds.), ASME HTD-139, pp. 1-7, 1990. (Pubitemid 20716298)
18. Feng, Y., Yu, B., Zou, M., and Xu, P., A generalized model for t he effective thermal conductivity of unsaturated media based on self-similarity, J. Porous Media, vol. 10, pp. 551- 568, 2007.
19. Hayashi, Y., Aoki, A., Adachi, S., and Hori, K., Study of frost properties correlating with frost formation types, ASME J. Heat Transfer, vol. 99, pp. 239-245, 1977.
20. 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, vol. 37, pp. 2751- 2759, 1994. (Pubitemid 289066)
21. Hsu, C. T. and Cheng, P., Thermal dispersion in a porous medium, Int. J. Heat Mass Transfer, vol. 33, pp. 1587-1597, 1990. (Pubitemid 20735791)
22. Jansson, J., ̈Uber die ẅarmeleitungsf̈ahigkeit des schnees, Ofvers. af K. Svenska Vet. Akad., vol. 58, pp. 207-222, 1901.
23. Le Gall, R., Grillot, J. M., and Jallut, C., Modeling of frost growth and densification, Int. J. Heat Mass Transfer, vol. 40, pp. 3177-3187, 1997.
24. Kamei, S., Mizushina, T., Kifune, S., and Koto, T., Research on frost formation in a low temperature dehumidifier, Chem. Eng. Jpn., vol. 14, pp. 53-60, 1950.
25. Kaempfer, T. U., Schneebeli, M., and Sokratov, S. A., A microstructural approach to model heat transfer in snow, Geophys. Res. Lett., vol. 32, L21503, 2005.
26. Kandula, M., On the effective thermal conductivity of porous packed beds with uniform spherical particles, J. Porous Media, vol.x, pp. xx-xx, 2010.
27. Kaviany, M., Principles of Heat Transfer in Porous Media, Springer-Verlag, New York, 1995.
28. Kondrat'eva, A. S., Thermal conductivity of snow cover and physical process caused by the temperature gradient, S.I.P.R.E. Translation No. 22, 1954.
29. Mago, P. G. and Sherif, S. A., Frost formation and heat transfer on a cold surface in ice fog, Int. J. Refrigeration, vol. 28, pp. 538-546, 2005. (Pubitemid 40612642)
30. Maxwell, J. C., A Treatise on Electricity and Magnetism, Clarendon Press, Oxford, p. 365, 1873.
31. Nozad, S., Carbonell, R. G., and Whitaker, S., Heat conduction in multiphase systems, I: Theory and experiments for two-phase systems, Chem. Eng. Sci., vol. 40., pp. 843-855, 1985. (Pubitemid 15514062)
32. O'Neal, D. L. and Tree, D. R., A review of frost formation in simple geometries, ASHRAE Trans., vol. 91, pp. 267-281, 1985.
33. Östin, R. and Anderson, S., Frost growth parameters in a forced air stream, Int. J. Heat Mass Transfer, vol. 34, no. 4/5, pp. 1009-1017, 1991.
34. Pitman, D., and Zuckerman, B., Effective thermal conductivity of snow at -88°, -27°, and -5°C, J. Appl. Phys., vol. 38, pp. 2698-2699, 1967.
35. Pruppacher, H. R. and Klett, J. D., Microphysics of Clouds and Precipitation, Reidel, Dordrecht, 1978.
36. Rayleigh, Lord, On the influence of obstacles in rectangular order upon the properties of a medium, Phil. Mag., vol. 34, pp. 481-502, 1892.
37. Rohsenow, W. M. and Hartnett, J. P., Handbook of Heat Transfer, McGraw-Hill, New York, 1973.
38. Sahin, A. G., Effective Thermal conductivity of frost during the crystal growth period, Int. J. Heat Mass Transfer, vol. 43, 539-553, 2000.
39. Sami, S. M. and Duong, T., Mass and heat transfer during frost growth, ASHRAE Trans., vol. 95, pp. 158-165, 1989.
40. Schropp, K., Investigation of dew and frost formation on cooling tubes in still air and the influence upon the heat transfer, Zeit. Ges. Katte. Ind., vol. 42, pp. 81-85, 127-131, 151-154, 1935.
41. Shin, J., Tikhonov, A. V., and Kim, C., Experimental study on frost structure on surfaces with different hydrophilicity: density and thermal conductivity, ASME J. Heat Transfer, vol. 125, pp. 84-94, 2003. (Pubitemid 36615125)
42. Sturm, M., Holmgen, J., Konig, M., and Morris, K., The thermal conductivity of seasonal snow, J. Glaciol., vol. 43, pp. 26-41, 1997.
43. Tien, C. L. and Vafai, K., Statistical bounds for the effective thermal conductivity of microsphere and fibrous insulation, AIAA Progress Ser., vol. 65, pp. 135-148, 1979.
44. Vafai, K., Convective flow and heat transfer in variable-porosity media, J. Fluid Mech., vol. 147, pp. 233-259, 1984. (Pubitemid 15421664)
45. Van Dusen, M. S., Thermal conductivity of non-metallic solids, In International Critical Tables of numerical data, Physics, Chemistry and Technology, Washburn, E. W., West, C. J., Dorsey, N. E., Bichowsky, F. R., and Ring, M. D. (eds.), vol. 5, McGraw-Hill, New York, pp. 216-217, 1929.
46. Woodside, W., Calculation of the thermal conductivity of porous media, Can. J. Phys., vol. 36, pp. 815-823, 1958.
47. Yang, D.-K. and Lee, K.-S., Dimensionless correlations of frost properties on a cold plate, Int. J. Refrig., vol. 27, pp. 89-96, 2004.
48. Yonko, J. D. and Sepsy, C. F., An investigation of the thermal conductivity of frost while forming on a flat horizontal plate, ASHRAE 74th Annual Meeting, Minnaepolis, Paper No. 2043, 1967.
49. Yu, B. and Cheng, P., Fractal models for the effective thermal conductivity of bidispersed porous media, J. Thermophysi. Heat Transfer, vol. 16, pp. 22-29, 2002. (Pubitemid 34554636)
50. Yu and Li, A fractal model for the transverse thermal dispersion conductivity in porous media, Chin. Phys. Lett., vol. 21, pp. 117-120, 2004.
51. Zehner, P. and Schlunder, E. U., Thermal conductivity of granular materials at moderate temperatures (in German), Chem. Ing. Tech., vol. 42, pp. 933-941, 1970.