EFFECT OF ACOUSTIC RADIATION FORCES ON LIQUID DROPLETS IMMERSED IN A FLUID
DOI:
https://doi.org/10.15407/dopovidi2024.02.009Keywords:
ideal fluid, plane acoustic wave, liquid spherical drop, hydrodynamic force, acoustic radiation forceAbstract
The interaction of two liquid spherical droplets in another fluid at propagation of a plane acoustic wave along the line connecting the centres of these droplets is investigated. The force of acoustic radiation is determined as follows: first, the linear problem of diffraction of the incident primary wave on bodies in the liquid is solved, then the hydrodynamic forces acting on each of the liquid droplets are calculated, followed by averaging these forces over time. To satisfy the boundary conditions on spherical surfaces, the decomposition of the incident and reflected wave potentials into a series of spherical wave functions is used. By using the obtained analytical formula for calculating the force of acoustic radiation, it is established that the direction and magnitude of the acoustic radiation force can vary depending on the frequency of the incident wave.
Downloads
References
King, L. V. (1934). On the Acoustic Radiation Pressure on Sphere. Proc. Roy. Soc. Ser. A., 147, No. 861, pp. 246- 265. https://doi.org/10.1098/rspa.1934.0215
Zhuk, A. P. (1984). Hydrodynamic interaction of two spherical particles from sound waves. Sov. Appl. Mech., 20, No. 9, pp. 875-880. https://doi.org/10.1007/BF00888495
Zhuk, A. P. (2007). Effect of Acoustic Radiation on a Spherical Drop of Liquid. Int. Appl. Mech., 43, No. 7, pp. 726-733. https://doi.org/10.1007/s10778-007-0071-1
Guz, A. N. & Zhuk, A. P. (2014). Effect on Acoustic Radiation in a Viscous Liquid on a Spherical Drop of Ideal Liquid. Int. Appl. Mech., 50, No. 6, pp. 605-614. https://doi.org/10.1007/s10778-014-0659-1
Guz, A. N., Zhuk, A. P. & Bahno, A. M. (2016). Dynamics of Elastic Bodies, Solid Particles and Fluids Particles in a Compressible Viscous Fluid (Review). Int. Appl. Mech., 52, No. 5, pp. 449-507. https://doi.org/10.1007/ s10778-016-0770-6
Zhuk, A. P. & Zhuk, Y. A. (2015). On the character of radiation force action on an spherical liquid drop placed in an acoustic field. Bulletin of Taras Shevchenko National University of Kyiv. Series: Phys. & Math., No. 5, Special Iss., pp. 81-86 (in Ukrainian).
Zhuk, A. P. & Zhuk, Y. A. (2020). Effect of Radiation Force on a Flexible Spherical Particle at the Free Liquid Surface*. Int. Appl. Mech., 56, No. 6, pp. 46-56. https://doi.org/10.1007/s10778-021-01045-x
Guz, A. N. & Golovchan, V. T. (1972). Elastic wave diffraction in the multiply connected regions. Kiev: Naukova Dumka (in Russian).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Reports of the National Academy of Sciences of Ukraine
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
