Slow motions of a liquid drop in a viscous liquid

  • V. A. Gorodtsov


The problem of the fully established slow translational motion of a round drop (bubble) in a viscous liquid was solved by Adamar and Rybchinskii [1, 2]. The results of experimental measurements are rarely in agreement with the Adamar-Rybchinskii formula. This is connected with braking of the flow due to surface-active impurities, which are usually rather numerous in liquids. Nevertheless, we shall consider the problem of the not fully established motion of a drop in the simplest case, assuming that there are no surface-active substances. The article discusses problems of the vibrations and motions of a spherical drop in a viscous liquid, with arbitrary accelerations. An analysis is made of a formula for the force of resistance of a drop of liquid with a high viscosity, an elastoviscous drop, and a particle with “slipping-through.”


Viscosity Mathematical Modeling Mechanical Engineer Experimental Measurement Industrial Mathematic 
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Literature cited

  1. 1.
    V. G. Levich, Physicochemical Hydrodynamics [in Russian], Izd. Fizmatgiz, Moscow (1959).Google Scholar
  2. 2.
    L. D. Landau and E. M. Lifshits, Mechanics of Continuous Media [in Russian], Izd. Gostekhizdat, Moscow (1954).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • V. A. Gorodtsov
    • 1
  1. 1.Moscow

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