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Fluid Dynamics

, Volume 10, Issue 6, pp 1005–1007 | Cite as

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

  • G. Ya. Gerasimov
Article
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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.

Keywords

Reynolds Number Drag Force Cell Model Mathematical Description Identical Dimension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    G. Marruci, “Rising velocity of a swarm of spherical bubbles,∝ Ind. Eng. Chem. Fund.,4, No. 2 (1965).Google Scholar
  2. 2.
    V. K. Bhatia, “Gas holdup of a bubble swarm in two-phase vertical flow,∝ AIChE J.,15, No. 3 (1969).Google Scholar
  3. 3.
    B. Gal-Or, “On motion of bubbles and drops,∝ Can. J. Chem. Eng.,48, No. 5 (1970).Google Scholar
  4. 4.
    B. P. Le Clair and A. E. Hamielec, “Viscous flow through particle assemblages at intermediate Reynolds numbers: a cell model for transport in bubble swarm,∝ Can. J. Chem. Eng.,49, No. 6 (1971).Google Scholar
  5. 5.
    Yu. A. Buevich and V. G. Markov, “Rheology of concentrated mixture of liquid and fine particles. Parameters of interphase reactions,∝ Prikl. Mat. Mekh.,36, No. 3 (1972).Google Scholar
  6. 6.
    C. K. W. Tam, “The drag on a cloud of spherical particles in low Reynolds number flow.∝ J. Fluid Mech.,38, No. 3 (1969).Google Scholar
  7. 7.
    Yu. A. Buevich and V. G. Markov, “Continuous mechanics of monodisperse suspensions. Rheological equations of state for a suspension of moderate concentration,∝ Prikl. Mat. Mekh.,37, No. 6 (1973).Google Scholar
  8. 8.
    V. G. Levin, Physicomechanical Hydromechanics [in Russian], Fizmatgiz, Moscow (1959).Google Scholar
  9. 9.
    A. M. Golovin, “Lagrange equation for bubble system in low-viscosity liquid,∝ Zh. Prikl. Mekh. Tekh. Fiz., No. 6 (1967).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • G. Ya. Gerasimov

There are no affiliations available

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