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Heat Transfer During Unsaturated Flow in Porous Media

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Convective Heat and Mass Transfer in Porous Media

Part of the book series: NATO ASI Series ((NSSE,volume 196))

Abstract

Model equations for simple systems involving heat transfer during unsaturated flow in porous media are developed. The model equations rely on knowledge of three transport properties-relative permeability, capillary pressure, and effective thermal conductivity. Theoretical and empirical models for these three transport properties are presented and discussed. Results for predictions of heat transfer resulting from forced, unsaturated, convection from a horizontal surface are presented to elucidate the effects of the parameters that arise for the case of flow without change of phase. This is followed by a discussion of results which have been presented recently for systems involving a change in phase.

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References

  1. Plumb, O.A. (1983), “Convective Heat Transfer From Surfaces Submerged in Unsaturated Porous Media,” ASME/JSME Thermal Engineering Joint Conference Proceeding, ed. Y. Mori and W.-J. Yang, Vol. 2, ASME, NY, pp. 327–332.

    Google Scholar 

  2. Leverett, M.C. (1941), “Capillary Behavior in Porous Solids,” AIME Trans, Vol. 142, pp. 152–169.

    Google Scholar 

  3. Meyers, McClintock, Silvistri, and Spencer (1968), 1967 ASME Steam Table, 2nd ed., ASME, NY.

    Google Scholar 

  4. Luckner, L., M. Th. van Genuchten, and D.R. Nielsen (1989), “A Consistent Set of Parametric Models for the Two-Phase Flow of Immiscible Fluids in the Subsurface,” Water Retour. Res., Vol. 25(10), pp. 2187–2193.

    Article  ADS  Google Scholar 

  5. Lee, W.C. (1990), “An Experimental Study of Heat and Mass Transfer in Granular Porous Media During Drying,” MS Thesis, Department of Mechanical and Materials Engineering, Washington State University, Pullman, WA.

    Google Scholar 

  6. Udell, K.S. (1985), “Heat Transfer in Porous Media Considering Phase Change and Capillarity-the Heat Pipe Effect,” Int. J. Beat Mass Transfer, Vol. 28(2), pp. 485–495.

    Article  ADS  MATH  Google Scholar 

  7. Whitaker, S. and W. T-H. Chow (1983), “Drying Granular Porous Media-Theory and Experiment,” Drying Tech, Vol. 1, pp. 3–33.

    Article  Google Scholar 

  8. Brutsaert, W., (1966), “Probability Laws for Pore Size Distributions,” Soil Science, Vo. 101(2), pp. 85–92.

    Article  Google Scholar 

  9. Brooks, R.H. and A.T. Corey (1968), “Properties of Porous Media Affecting Fluid Flow,” J. Irrig. Drain, ASCE, 92(IR2), pp. 61–66.

    Google Scholar 

  10. Verma, A.K., K. Pruess, C.F. Tsang, and P.A. Witherspoon (1985), “A Study of Two-Phase Concurrent Flow of Steam and Water in an Unconsolidated Porous Medium,” in Heat Transfer in Porous Media and Particulate Flows, ed. L.S. Yao, ASME Pub. HTD-Vol. 46, pp. 135–143.

    Google Scholar 

  11. Catton, I. and H.S. Lee (1987), “Two-Phase Flow in Porous Medium,” ASME/JSME Thermal Engineering Joint Conference Proceedings, ed. P. J. Marto and I. Tanasawa, Vol. 2, ASME, NY, pp. 333–341.

    Google Scholar 

  12. Wyllie, N.R.J. (1962), “Relative Permeability,” Chapter 25, Vol. 2, Petroleum Production Handbook, McGraw-Hill, NY.

    Google Scholar 

  13. Mualem, Y. (1976), “A New Model for Predicting the Hydraulic Conductivity of Unsaturated Porous Media,” Water Resour. Res., Vol. 25(3), p. 513–522.

    Article  ADS  Google Scholar 

  14. van Genuchten, M. Th. (1980), “A Closed-Form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils,” Soils Sci Soc. Am. J., Vol. 44, pp. 892–898.

    Article  Google Scholar 

  15. Chan, C.K. and C.L. (1973), “Conductance of Packed Spheres in a Vacuum,” ASME J. Heat Transfer, Vol. 95, pp. 302–308.

    Article  Google Scholar 

  16. Hadley, G.R. (1986), “Thermal Conductivity of Packed Metal Powders,” Int J. Heat Mass Transfer, Vol. 29(6), pp. 909–920.

    Article  Google Scholar 

  17. Duncan, A.B., G.P. Peterson, L.S. Fletcher (1989), “Effective Thermal Conductivity within Packed Beds of Spherical Particles,” ASME J. Heat Transfer, Vol. 111, pp. 830–836.

    Article  Google Scholar 

  18. Yovanovich, M.M. (1973), “Apparent Conductivity of Glass Microspheres from Atmospheric Pressure to Vacuum,” ASME Paper No. 73-HT-43.

    Google Scholar 

  19. Woodside, W. and J.H. Messmer (1961), “Thermal Conductivity of Porous Media. II. Consolidated Rocks,” J. Appl. Phys., Vol. 32, pp. 1699–1706.

    Article  ADS  Google Scholar 

  20. Naqvi, S.T.A. (1988), “An Experimental Study of Thermal Conductivity of Porous Media,” MS Project, Department of Mechanical and Materials Engineering, Washington State University, Pullman, WA.

    Google Scholar 

  21. Somerton, W.H., I.J. Keese, and S.L. Chu (1974), “Thermal Behavior of Unconsolidated Oil Sands,” SPE Journal, Vol. 14(5), pp. 513–521.

    Google Scholar 

  22. Okazaki, M., I. Ito, and K. Toeir, (1977), AICHE Symp Series, Vol. 73, No. 163.

    Google Scholar 

  23. Gomma, E.E. (1973), “Thermal Behavior of Partially Liquid Saturated Porous Media,” PhD Dissertation, University of California, Berkeley.

    Google Scholar 

  24. Nozad, I., R.G. Carbonell, and S. Whitaker (1985), “Heat Conduction in Multiphase Systems,” Chemical Engineering Science, Vol. 40(5), pp. 857–863.

    Article  Google Scholar 

  25. Bau, H.H. and K.E. Torrance (1982), “Boiling in Low-Permeability Porous Materials,” Intl J. Heat Mass Transfer, Vol. 25, pp. 45–55.

    Article  Google Scholar 

  26. Torrance, K.E. (1986), “Phase-Change Heat Transfer in Porous Media,” in Proceedings of the Eighth Int. Heat Transfer Conference 1986, eds C.L. Tien, V.P. Carey, and J.K. Ferrel, Hemisphere Publishing Co., Washington, DC, pp. 181–188.

    Google Scholar 

  27. Dhir, V. and I. Catton (1977), “Dryout Heat Fluxes for Inductively Heated Particulate Beds,” J. Heat Transfer, Vol. 99, pp. 250–256.

    Article  Google Scholar 

  28. Menegus, D.K. and K.S. Udell (1985), “A Study of Steam Injection into Water Saturated Capillary Porous Media,” presented at the ASME/JIChE National Heat Transfer Conference.

    Google Scholar 

  29. Udell, K.S. and J.S. Fitch (1985), “Heat and Mass Transfer in Capillary Porous Media Considering Evaporation, Condensation and Noncondensible Gas Effects,” in HTD Vol. 46, presented at 23rd National Heat Transfer Conference, Denver, pp. 93–102.

    Google Scholar 

  30. Hunt, J.R., N. Sitar and K.S. Udell (1988), “Non-Aqueous Phase Liquid Transport and Cleanup-Part II. Experimental Studies,” Water Resour. Res., Vol. 24(8), pp. 1259–1269.

    Article  ADS  Google Scholar 

  31. Yortsos, Y.C. and G.R. Gavalas, (1982), “Heat Transfer Ahead of Moving Condensation Fronts in Thermal Oil Recovery Processes,” Int. J. Heat Mass Transfer, Vol. 25(3), pp. 305–316.

    Article  MATH  Google Scholar 

  32. Cheng, P. (1981), “Film Condensation Along an Inclined Surface in a Porous Medium,” Int. J. Heat Mass Transfer, Vol. 25, pp. 983–990.

    Article  Google Scholar 

  33. Plumb, O.A. (1984), “Capillary Effects on Film Condensation in a Porous Media,” presented at the 19th AIAA Thermophysics Conference, Snowmass, CO.

    Google Scholar 

  34. Kaviany, M. (1986), “Boundary Layer Treatment of Film Condensation in the Presence of a Solid Matrix,” Int. J. Heat Mass Transfer, Vol. 29, pp. 951–954.

    Article  Google Scholar 

  35. White, S.M. and C.L. Tien (1987), “Analysis of Laminar Film Condensation in a Porous Medium,” Proc of the 1987 ASME-JSME Thermal Engineering Joint Conference, Vol. 2, pp. 401–406.

    Google Scholar 

  36. White, S.M., and C.L. Tien (1987), “An Experimental Investigation of Film Condensation in Porous Structures,” Proc. of the 6th International Heat Pipe Conference.

    Google Scholar 

  37. Plumb, O.A., D.B. Burnett, and A. Shekarriz (1990), “Film Condensation on a Vertical Heated Plate in a Packed Bed,” J. Heat Transfer, Vol. 112, pp. 235–239.

    Article  Google Scholar 

  38. Chung, J.N., O.A. Plumb, and W.C. Lee (1990), “Condensation in a Porous Region Bounded by a Cold Vertical Surface,” presented at the ASME/AIAA Thermophysics and Heat Transfer Conference, Seattle.

    Google Scholar 

  39. Majumdar, A. and C.L. Tien (1988), “Effects of Surface Tension on Film Condensation in a Porous Medium,” Proc. 1988 National Heat Transfer Conference, ed. H.R. Jacobs, ASME HTD-Vol. 96, pp. 371–378.

    Google Scholar 

  40. Quintard, M. and S. Whitaker (1987), “Two-Phase Flow in Heterogeneous Porous Media: The Method of Large-Scale Averaging,” unpublished manuscript.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mechanical and Materials Engineering, Washington State University, Pullman, Washington, 99164-2920, USA

    O. A. Plumb

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  1. O. A. Plumb
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Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, University of Miami, Coral Gables, Florida, USA

    Sadik Kakaç

  2. Department of Mechanical Engineering, Middle East Technical University, Ankara, Turkey

    Birol Kilkiş  & Faruk Arinç  & 

  3. College of Engineering, Colorado State University, Ft. Collins, Colorado, USA

    Frank A. Kulacki

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© 1991 Springer Science+Business Media Dordrecht

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Plumb, O.A. (1991). Heat Transfer During Unsaturated Flow in Porous Media. In: Kakaç, S., Kilkiş, B., Kulacki, F.A., Arinç, F. (eds) Convective Heat and Mass Transfer in Porous Media. NATO ASI Series, vol 196. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3220-6_13

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  • DOI: https://doi.org/10.1007/978-94-011-3220-6_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5419-5

  • Online ISBN: 978-94-011-3220-6

  • eBook Packages: Springer Book Archive

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