Abstract
The immersion of a heat exchanger into a fluidized bed changes the hydrodynamic structure of the bed, which, according to this study, has a decisive influence on the heat transfer process. A near-surface zone with a local vertical circulation of particles and a porosity that is higher than that in the rest of the bed volume is formed near the immersed body with an increase in the velocity of the gas blown through the bed. As is shown in this study, the deterioration of the exchange of particles between this zone and the rest of the bed volume leads to a decrease in the intensity of external heat transfer with an increase in the gas velocity. A model is proposed that makes it possible to calculate the width of the near-surface zone and the time of residence of fluidized bed particles in it.
Similar content being viewed by others
REFERENCES
Botterill, J.S.M., Fluid-Bed Heat Transfer, London: Academic, 1975.
Kuipers, J.A.M., Prins, W., and van Swaaij, W.P.M. Numerical calculation of wall-to-bed heat-transfer coefficients in gas fluidized beds, AIChE J., 1992, vol. 38, p. 1079.
Martin, H., Heat transfer between gas fluidized beds of solid particles and the surfaces of immersed heat exchanger elements, part I, Chem. Eng. Process., 1984, vol. 18, no. 3, pp. 157–169. https://doi.org/10.1016/0255-2701(84)80005-7
Mickley, H.S. and Fairbanks, D.F., Mechanism of heat transfer to fluidized beds, AIChE J., 1955, vol. 1, p. 374.
Mickley, H.S., Fairbanks, D.F., and Hawthorn, R.D., The relation between the transfer coefficient and thermal fluctuations in fluidized-bed heat transfer, Chem. Eng. Prog., Symp. Ser., 1961, vol. 57, no. 32, p. 51.
Brown, R.C. and Overmann, S.P., The influence of particle thermal time constants on convection coefficients in bubbling fluidized beds, Powder Technol., 1998, vol. 98, p. 13.
Yusuf, R., Halvorsen, B., and Melaaen, M.C., Eulerian–Eulerian simulation of heat transfer between a gas–solid fluidized bed and an immersed tube-bank with horizontal tubes, Chem. Eng. Sci., 2011, vol. 66, no. 8, pp. 1550–1564. https://doi.org/10.1016/j.ces.2010.12.015
Armstrong, L.M., Gu, S., and Luo, K.H., Study of wall-to-bed heat transfer in a bubbling fluidised bed using the kinetic theory of granular flow, Int. J. Heat Mass Transfer, 2010, vol. 53, nos. 21–22, pp. 4949–4959. https://doi.org/10.1016/j.ijheatmasstransfer.2010.05.047
Hou, Q.F., Zhou, Z.Y., and Yu, A.B., Gas-solid flow and heat transfer in fluidized beds with tubes: Effects of material properties and tube array settings, Powder Technol., 2016, vol. 296, p. 59.
Botterill, J.S.M. and Williams, J.R., The mechanism of heat transfer to gas-fluidized beds, Trans. Inst. Chem. Eng., 1963, vol. 41, p. 217.
Koppel, L.B., Patel, R.D., and Holmes, J.T., Statistical models for surface renewal in heat and mass transfer: Part 4. Wall to fluidized bed heat transfer coefficients, AIChE J., 1970, vol. 16, p. 464.
Agrawal, S. and Ziegler, E.N., On the optimum transfer coefficient at an exchange surface in a gas-fluidized bed, Chem. Eng. Sci., 1969, vol. 24, no. 8, pp. 1235–1240. https://doi.org/10.1016/0009-2509(69)85044-X
Gabor, J.D., Wall-to-bed heat transfer in fluidized beds, AIChE J., 1972, vol. 18, p. 249.
Baskakov, A.P., Berg, B.V., Vitt, O.K., Filippovsky, N.F., Kirakosyan, V.A., Goldobin, J.M., and Maskaev, V.K., Heat transfer to objects immersed in fluidized beds, Powder Technol., 1973, vol. 8, p. 273.
Ozkaynak, T.F. and Chen, J.C., Emulsion phase residence time and its use in heat transfer models in fluidized beds, AIChE J., 1980, vol. 26, p. 544.
Rhodes, M., Mineo, H., and Hirama, T., Particle motion at the wall of a circulating fluidized bed, Powder Technol., 1992, vol. 70, p. 207.
Molerus, O., Burschka, A., and Dietz, S., Particle migration at solid surfaces and heat transfer in bubbling fluidized beds – 1. Particle migration measurement systems, Chem. Eng. Sci., 1995, vol. 50, p. 871.
Noymer, P.D. and Glicksman, L.R., Cluster motion and particle-convective heat transfer at the wall of a circulating fluidized bed, Int. J. Heat Mass Transfer, 1998, vol. 41, p. 147.
Ziegler, E.N., Koppel, L.B., and Brazelton, W.T., Effect of solid thermal properties on heat transfer to gas fluidized beds, Ind. Eng. Chem. Fundam., 1964, vol. 3, p. 324.
Borodulya, V.A., Teplitskii, Yu.S., Ganzha, V.L., and Makarevich, I.I., Modeling of external and interphase heat transfer processes in dispersion media, Teplomassoobmen – Minskii mezhdunarodnyi forum (24–27 maya 1988 g.). Sektsii 4, 5. Teplomassoobmen v dvukhfaznykh i dispersnykh sistemakh: problemnye doklady (Heat and Mass Transfer: The Minsk International Forum (May 24–27, 1988). Sections 4 and 5. Heat and Mass Transfer in Two-Phase and Disperse Systems: Key Lectures) (Minsk, 1988), Minsk: Inst. Teplo- i Massoobmena im. A.V. Lykova Akad. Nauk B. SSR, 1988, p. 122.
Antonishin, N.V. and Lushchikov, V.V., Heat transfer in dispersion media, in Protsessy perenosa v apparatakh s dispersnymi sistemami. Sbornik nauchnykh trudov ITMO im. A.V. Lykova AN BSSR (Transport Processes in Apparatuses with Disperse Systems: A Collection of Scientific Papers of the Luikov Heat and Mass Transfer Institute, Academy of Sciences of the Belorussian SSR), Minsk: Inst. Teplo- i Massoobmena im. A.V. Lykova Akad. Nauk B. SSR, 1986, p. 3.
Borodulya, V.A., Teplitskii, Yu.S., Markevich, I.I., Khassan, A.F., and Eremenko, T.P., Heat transfer between a fluidized bed and the surface, J. Eng. Phys., 1990, vol. 58, no. 4, pp. 446–452. https://doi.org/10.1007/BF00877352
Antonishin, N.V. and Lushchikov, V.V., Degeneration of the effect of the disperse structure of a bed on heat exchange with the surface, Teplomassoobmen – Minskii mezhdunarodnyi forum (24–27 maya 1988 g.). Sektsii 4, 5. Teplomassoobmen v dvukhfaznykh i dispersnykh sistemakh: problemnye doklady (Heat and Mass Transfer: The Minsk International Forum (May 24–27, 1988). Sections 4 and 5. Heat and Mass Transfer in Two-Phase and Disperse Systems: Key Lectures) (Minsk, 1988), Minsk: Inst. Teplo- i Massoobmena im. A.V. Lykova Akad. Nauk B. SSR, 1988, p. 159.
Xavier, A.M. and Davidson, J.F., Heat transfer in fluidized beds: Convective heat transfer in fluidized beds, Fluidization, Davidson, J.F., Clift, R., and Harrison, D., Eds., London: Academic, 1985, p. 437.
Gabor, J.D., Wall-to-bed heat transfer in fluidized and packed beds, Chem. Eng. Prog., Symp. Ser., 1970, vol. 66, no. 105, p. 76.
Buevich, Yu.A., in Teplomassoobmen-VI. Tezisy dokladov Nauchnoi konferentsii. Problemnye doklady VI Vsesoyuznoi konferentsii po teplomassoobmenu. Chast’ 2 (Heat and Mass Transfer-VI: Abstracts of Papers Presented at the VI All-Russian Conference on Heat and Mass Transfer: Key Lectures: Part 2) (Minsk, 1981), Minsk: Inst. Teplo- i Massoobmena im. A.V. Lykova Akad. Nauk B. SSR, 1981, p. 54.
Korolev, V.N., Structural and gas-dynamic conditions and external heat transfer in fluidized media, Extended Abstract of Doctoral (Eng.) Dissertation, Sverdlovsk: Inst. of Thermal Physics, Academy of Sciences of the USSR, 1988.
Kondukov, N.B., Frenkel’, L.I., Nagornov, S.A., Romanenko, N.Ya., and Tarov, V.P., Some features of hydrodynamics and external heat transfer in a fluidized bed, Dokl. Akad. Nauk SSSR, 1975, vol. 224, no. 5, p. 1138.
Frenkel', L.I. and Kondukov, N.B., Study of gas velocity profiles in a monodisperse fluidized bed, Khim. Prom-st., 1966, no. 6, p. 418.
Nagornov, S.A., Intensification of heat transfer in inhomogeneous fluidized and vibrocirculating media, Doctoral (Eng.) Dissertation, Tambov: All-Russian Scientific Research Inst. for the Use of Machinery and Oil Products in Agriculture, 2003.
Protod'yakonov, I.O. and Chesnokov, Yu.G., Gidromekhanika psevdoozhizhennogo sloya (Hydromechanics of Fluidized Beds), Leningrad: Khimiya, 1982.
Grace, J.R. and Harrison, D., The influence of bubble shape on the rising velocities of large bubbles, Chem. Eng. Sci., 1967, vol. 22, no. 10, p. 1337.
Rowe, P.N. and Everett, D.J., Fluidised bed bubbles viewed by X-rays: Part II—The transition from two to three dimensions of undisturbed bubbles, Trans. Inst. Chem. Eng., 1972, vol. 50, no. 1, pp. 49–54.
Korn, G. and Korn, T., Spravochnik po matematike (Handbook of Mathematics), Moscow: Nauka, 1977.
Selzer, V.W. and Tomson, W.J., Fluidized bed heat transfer: The packet theory revisited, AIChE Symp. Ser., 1977, vol. 73, no. 161, pp. 29–37.
Funding
This work was supported by the Russian Foundation for Basic Research within project no. 19-58-04004.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by O. Kadkin
Rights and permissions
About this article
Cite this article
Milovanov, O.Y., Is’emin, R.L., Klimov, D.V. et al. Analysis and Simulation of the Motion of Particles near the Heat Exchange Surface Immersed in a Fluidized Bed. Theor Found Chem Eng 55, 41–52 (2021). https://doi.org/10.1134/S0040579520060172
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0040579520060172