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Drop in an oscillating liquid

Abstract

At the present time there is a complete lack of studies devoted to the forced motion of a drop located in an oscillating liquid. However, this problem is of considerable interest. For example, it represents simulation of hydrodynamic processes occurring during the irradiation of drops of one liquid located in another liquid by longwave sound. The stationary flows occurring in this case may have a significant influence on the heat- and mass-transfer processes. In the present article we investigate the velocity field in the interior and exterior of a drop executing forced oscillatory motion as a result of its interaction with the ambient liquid. At a sufficiently large distance from the drop the ambient liquid oscillates in a specified way, where s/R ≪ 1 (s is the amplitude of displacement of the liquid particles, and R is the radius of the drop).

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Literature cited

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    L. D. Landau and E. M. Lifshits, Mechanics of Continuous Media [in Russian], GITTL, Moscow (1953), pp. 119, 287, 292.

  2. 2.

    G. K. Batchelor, An Introduction to Fluid Dynamics, Cambridge University Press (1970).

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    V. E. Nakoryakov, A. P. Burdukov, A. M. Boldarev, and P. N. Terleev, Heat and Mass Transfer in an Acoustic Field [in Russian], Inst. Teplofiz., Sibirsk. Otd., Akad. Nauk SSSR, Novosibirsk (1970), p. 18.

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Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 109–115, May–June, 1975.

The author expresses gratitude to V. E. Nakoryakov for constant attention and assistance in the work

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Murga, V.A. Drop in an oscillating liquid. J Appl Mech Tech Phys 16, 401–406 (1975). https://doi.org/10.1007/BF00859861

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Keywords

  • Mathematical Modeling
  • Mechanical Engineer
  • Significant Influence
  • Velocity Field
  • Stationary Flow