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Motion of a system of spherical gas bubbles in a liquid at large Reynolds numbers

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Abstract

Considerable difficulties attach to the mathematical description of the motion of a system of spherical bubbles of identical dimensions in a liquid, at large Reynolds numbers. At present, there are several known approaches to the solution of the problem, based on the application of the cell model [1–4]. For small Reynolds numbers, a more rigorous description of a system of spherical bubbles was attempted in [5] by means of the Tam method [6], using the approximation of “point∝ forces with successive averaging over ensembles. In the present paper, the Tam method is used to describe the motion of a system of spherical bubbles of identical size at large Reynolds numbers. The drag force exerted by the liquid on a specimen bubble of the considered system is calculated.

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Literature cited

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Authors
  1. G. Ya. Gerasimov
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 159–161, November–December, 1975.

The author would like to thank A. M. Golovin for a number of valuable comments.

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Gerasimov, G.Y. Motion of a system of spherical gas bubbles in a liquid at large Reynolds numbers. Fluid Dyn 10, 1005–1007 (1975). https://doi.org/10.1007/BF01023282

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  • DOI: https://doi.org/10.1007/BF01023282

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