On interaction of liquid drops located in radiation field of the acoustic wave


  • O. P. Zhuk Timoshenko Institute of Mechanics, NAS of Ukraine, Kyiv
  • Y. A. Zhuk Taras Shevchenko National University of Kyiv https://orcid.org/0000-0002-2726-8395
  • T. V. Klimchuk Taras Shevchenko National University of Kyiv




ideal liquid, plane acoustic wave, liquid spherical drop, hydrodynamic force, acoustic radiation force


Propagation of the plane acoustic wave along the center line of two liquid spherical drops placed into a space filled with another liquid is under investigation. An approach is elaborated to characterize the interaction between the liquid drops caused by the acoustic radiation forces that are the time-constant components of hydrodynamic forces acting upon the drops located in the outer liquid. Investigation of the acoustic radiation forces influencing the drops in the acoustic field is performed in the frame of two-step procedure. The first step comprises solution of the linear problem of incident wave diffraction on the drops while the second one is calculation of the hydrodynamic forces acting upon each spherical drop followed by time averaging of forces determined. The analytical formula for the acoustic radiation force calculation is derived for the case under consideration.

Pages of the article in the issue: 61 - 64

Language of the article: Ukrainian


ZHUK, A.P. (1984) Hydrodynamic interaction of two spherical particles from sound waves. Sov. Appl. Mech. 20(9). p. 875-880.

KING, L.V. (1934) On the Acoustic Radiation Pressure on Spheres. Proc.Roy. Soc. Ser. A. 147(861). p. 212-240.

GUZ, А.N. and GOLOVCHAN, V.T. (1972) Difractsiya uprugikh voln v mnogosvyaznykh telakh. Kiev: Naukova dumka.




How to Cite

Zhuk, O. P., Zhuk, Y. A., & Klimchuk, T. V. (2023). On interaction of liquid drops located in radiation field of the acoustic wave. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (1), 61–64. https://doi.org/10.17721/1812-5409.2023/1.8



Differential equations, mathematical physics and mechanics

Most read articles by the same author(s)