Heat and Mass Transfer at High Speed Filtration in Porous Media and Packed Beds


Article Preview

Packed beds composed of spherical balls are used for the study of transfer processes in porous media at turbulent filtration. The paper summarizes the development of a physical modelling of transfer processes in packed beds. It is shown that the available quantitative measurements of structural characteristics of infiltrated flow in packed beds such as the near-wall zone velocity and temperature profiles and velocity pulsation spectra follow the similarity laws of turbulent separated flows that have been developed by the author and are represented in the first part of the paper. These facts supported by visual observations of flow patterns in packed beds from various authors allow implementing the analogy between transfer processes mechanism in turbulent separated flows and convective transfer processes in near-wall zone of surfaces embedded in grainy layers, or ducts filled with packed bed, at high Reynolds numbers. This approach has resulted in the asymptotic heat and mass transfer law. The universal character of the heat and mass transfer law for the surfaces embedded in grainy layer is confirmed by the authors data and data from many other studies.



Edited by:

Andreas Öchsner and Graeme Murch






A. Gorin "Heat and Mass Transfer at High Speed Filtration in Porous Media and Packed Beds", Defect and Diffusion Forum, Vol. 322, pp. 195-210, 2012

Online since:

March 2012





[1] A. Dybbs, R.V. Edwards: NATO ASI Series, Ser E: Appl. Sci. Vol. 82 (1984), p.201.

[2] M.A. Latifi, N. Midoux, A. Storck, J.N. Gence: Chem. Eng. Sci. Vol. 44 (1989), p.2501.

[3] S. Whitaker: Ind. Eng. Chem. Vol. 61 (1969), p.14.

[4] W. Gray: Chem. Eng. Sci. Vol. 30 (1975), p.229.

[5] R.I. Nigmatulin, Fundamentals of Heterogeneous Mechanics, Nauka, Moscow, 1978 (in Russian).

[6] M.E. Aerov, O.M. Todes, Hydraulic and Heat Fundamentals of Operation of Apparatuses with Steady Grainy Layer, Khimiya, Leningrad, 1968 (in Russian).

[7] N. Wakao, I. Kaguei, Heat and Mass Transfer in Packed Beds, Gordon and Breach Science Publishers, New York, (1982).

[8] S. Yagi, N. Wakao: AIChE J. Vol. 5 (1959), p.79.

[9] M.E. Aerov, O.M. Todes, D.A. Narinskii, Apparatuses with Steady Grainy Layer, Khimiya, Leningrad, 1979 (in Russian).

[10] D. Kunii, M. Suzuki, Heat transfer between wall surface and packed beds, in: Proc. 3rd Int Heat Transfer Conf., Vol. IV, 1966, pp.344-352.

[11] V.V. Kharitonov, A.A. Plakseev, V.N. Fedoseev, V.V. Voskoboinikov, Influence of fluid mixing on heat transfer in channels with porous insertions. Teplofizika Visokhih Temperatur, 25 (1987) 954-961 (in Russian).

[12] E.U. Schlunder: Chem. Ing. Techn. Vol. 38 (1966), p.767.

[13] W.H. McAdams, Heat Transmission, third ed., McGraw-Hill, New York, (1954).

[14] R.F. Benenatti, C.B. Brosilov: AIChE J. Vol. 8 (1962), p.359.

[15] V.N. Korolev, N.I. Siromyatnikov, E.M., Tolmatchev: Inzhenerno-Fizicheskii J. Vol. 21 (1971), 973 (in Russian).

[16] V.N. Korolev, N.I. Siromyatnikov: Inzhenerno-Fizicheskii J. Vol. 55 (1988), p.599 (in Russian).

[17] S. Yagi, D. Kunii: AIChE J. Vol. 6 (1960), p.97.

[18] V. A. Mukhin, N.N. Smirnova, Investigation of heat and mass transfer in porous media. Preprint No. 26-78, Institute of Thermophysics SB AS USSR, 1978 (in Russian).

[19] M. Varahasamy, R.M. Fand: Int. J. Heat Mass Transfer Vol. 139 (1996), p.3931.

[20] K.R. Jolls, T.J. Hanratty: Chem. Eng. Sci. Vol. 21 (1966), p.1185.

[21] K.R. Jolls, T.J. Hanratty: AIChE J. Vol. 15 (1966), p.195.

[22] T.N. Wegner, A.J. Karabelas, T.J. Hanratty: Chem. Eng. Sci. Vol. 26 (1971), p.59.

[23] V.A. Kirillov, Yu. Sh. Matros, V.N. Sorokin, M.A. Kasamyan, M.E. Slin'ko: Proc. Soviet Acad. Sci. Vol. 206 (1972), p.1409.

[24] D.F. Van der Merve, W.H. Gauvin: AIChE J. Vol. 17 (1971), p.519.

[25] A.R. Yevseev, V.E. Nakoryakov, N.N. Romanov: Trans. SB AS USSR, ser. tech. sci., Issue 1 (1989), p.51 (in Russian).

[26] A.R. Yevseev, V.E. Nakoryakov, N.N. Romanov, A.A. Tanischev: Trans. SB AS USSR, ser. tech. sci., Issue 3 (1989), p.79 (in Russian).

[27] A.V. Gorin and D. Ph. Sikovsky: J. Eng. Thermophysics Vol. 5 (1995), p.145.

[28] A.V. Gorin, D. Ph. Sikovsky, Transfer processes in turbulent separated flows, in: Proc. 6th Int. Symposium Flow Modeling and Turbulence Measurements, Tallahassee, USA, 1996, pp.881-888.

[29] B.V. Perepelitza: J. Eng. Thermophysics 7 (1997) 99-106.

[30] R.A. Dekhtyar', D. Ph. Sikovsky A.V. Gorin, V.A. Mukhin: High Temperature Vol. 40 (2002), 693.

[31] A.V. Gorin, R.A. Dekhtyar', D. Ph. Sikovsky, V.A. Mukhin, Forced convection and effective transport properties in packed beds, in: Proc. 24th New Zealand Geothermal Workshop, Auckland, 2002, p.217 – 222.

[32] J. H. Quinton, J. A. Storrow: Chem. Eng. Sci. Vol. 5 (1956), p.245.

[33] Y. Demirel, B.A. Abu-Al-Saud, H.H. Al-Ali, Y. Makkawi: Int. J. Heat Mass Transfer Vol. 42 (1999), p.3267.

[34] K. Nasr, S. Ramadhyani, R. Viskanta: J. Heat Transfer Vol. 116 (1994), p.73.

[35] R.M. Fand, M. Varahasamy, L.S. Greer: Int. J. Heat Mass Transfer Vol. 36 (1993), p.4407.

In order to see related information, you need to Login.