Abstract
An approximate solution is obtained to the problem of the motion and growth of a spherical bubble in a fluidized bed of particles of sufficiently large dimension, i.e., taking account of a nonlinear law of interphase interaction. A system of ordinary differential equations is obtained for the radius of a bubble and the rate of its ascent depending on the time, and the laws of its growth are found in the case where the dimensions differ only slightly from “equilibrium,” corresponding to a rise of the bubble without a change in its volume, and in the case where the radius of the bubble considerably exceeds the equilibrium (the latter, as a rule, occurs when the rate of ascent considerably exceeds the rate of fluidization).
Similar content being viewed by others
Literature cited
Yu. P. Gupalo, “The stability of the laminar motion of a liquid with a heavy additive,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, Mekh. Mashinostr., No. 6 (1960).
S. Ergun, “Fluid flow through packed columns,” Chem. Eng. Prog.,48, No. 2 (1952).
Yu. A. Buevich, “The motion of bubbles in a fluidized bed,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3 (1975).
V. D. Goroshko, R. B. Rozenbaum, and O. M. Todes, Izv. Vyssh. Uchebn. Zaved., Neft Gaz, No. 1 (1958).
Fluidization, Academic Press, London-NewYork (1971).
Yu. A. Buevich and Yu. P. Gupalo, “The surfaces of a continuity in disperse systems,” Prikl. Mat. Mekh.,34, No. 4 (1970).
R. M. Davies and G. I. Taylor, “The mechanics of large bubbles rising through an extended liquid and through liquids in tubes,” Proc. R. Soc. London, Ser. A, 200, No. 1062 (1950).
M. A. Gol'dshtik and B. N. Kozlov, “The elementary theory of concentrated disperse systems,” Zh., Prikl. Mekh. Tekh. Fiz., No. 4 (1973).
Yu. P. Gupalo, Yu. S. Ryazantsev, and Yu. A. Sergeev, “Mass transfer between bubbles and the continuous phase in a fluidized bed,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4 (1973).
L. Davies and J. E. Richardson, “Gas interchange between bubbles and the continuous phase in a fluidised bed,” Trans. Inst. Chem. Eng. London,44, No. 8 (1966).
P. N. Rowe and R. Matsuno, “Single bubbles injected into a gas fluidised bed and observed by x-rays,” Chem. Eng. Sci.,26, No. 6 (1971).
Yu. P. Gupalo and G. P. Cherpanov, “The transition of a bed of solid particles to a fluidized state,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1 (1969).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 66–73, November–December, 1977.
Rights and permissions
About this article
Cite this article
Gupalo, Y.P., Ryazantsev, Y.S. & Sergeev, Y.A. Growth of bubbles in a fluidized bed with a nonlinear interphase interaction. Fluid Dyn 12, 870–877 (1977). https://doi.org/10.1007/BF01090321
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01090321