Plane wave in infinite cylindrical cavity with fluid and two spherical solids

Authors

  • Veniamin Kubenko S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv
  • Ihor Yanchevskyi National Technical University of Ukraine "Igor Sikorsky Kiev Polytechnic Institute" https://orcid.org/0000-0002-7113-2276

DOI:

https://doi.org/10.17721/1812-5409.2024/1.13

Keywords:

cylindrical cavity, compressible fluid, plane acoustic wave, spherical solids

Abstract

An analytical-numerical method for solving the stationary problem of determining the hydroacoustic characteristics of a liquid in a cylindrical cavity with two rigid spherical bodies is presented. It is assumed that a plane wave of a given frequency and amplitude propagates along the axis of the cavity. Using the principle of superposition, the method of separation of variables, translational addition theorems for special functions, the problem is reduced to an infinite system of algebraic equations, the solution of which is obtained by the truncation method. The hydrodynamic characteristics of the mechanical system depending on the frequency of the wave and its geometric parameters and the acoustic radiation forces acting on the bodies were calculated using the developed method. Numerical experiments showed that compared to a single spherical body on the axis of the cavity, the considered mechanical system has more "conditionally resonant" frequencies, at which the acoustic characteristics can exceed the amplitude of the incident wave by several orders of magnitude. At these frequencies, the radiation force function also takes its maximum value, and due to the change in frequency, bodies can both move away from each other and move towards each other. The main influence on the amplitude values of the hydrodynamic parameters is exerted by the acoustic waves reflected from the cylindrical boundary. The obtained results represent a generalization of methods for solving problems about the interaction of a plane harmonic wave with solid spherical inclusions on the axis of an infinite or semi-infinite cylindrical cavity.

Pages of the article in the issue: 70 - 73

Language of the article: Ukrainian

References

Zhuk, O.P., Guz, O.M. & Zhuk, Ya.O. (2023) Radiatsiini syly akustychnoho polia v ridyni z vkliuchenniamy. Aliiant.

Kubenko, V.D., Yanchevs’kyi, I.V., Zhuk, Ya.O. [et al.] (2023). Hydrodynamic Characteristics of a Plane Wave Interacting with a Spherical Body in a Semi-Infinite Cylindrical Cavity Filled with a Compressible Fluid. Int Appl Mech., 59, 131–144. https://doi.org/10.1007/s10778-023-01207-z

Kubenko, V.D., & Yanchevs’kyi, I.V. Diffraction Field and Radiation Force for a Liquid Bubble in a Dissimilar Fluid in an Infinite Cylindrical Cavity. Int Appl Mech., 59, 257–269 (2023). https://doi.org/10.1007/s10778-023-01218-w

Shi, J., Li, Sh. Deng, Yu. [et al.] (2020). Analysis of acoustic radiation force on a rigid sphere in a fluid-filled cylindrical cavity with an abruptly changed cross-section. J. Acoust. Soc. Am., 147(1), 516–524. https://doi.org/10.1121/10.0000603

Simon, G. Andrade, M.A.B., Desmulliez, M.P.Y. [et al.] (2019). Numerical determination of the secondary acoustic radiation force on a small sphere in a plane standing wave field. Micromachines. 10(431). https://doi.org/10.3390/mi10070431

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Published

2024-09-12

How to Cite

Kubenko, V., & Yanchevskyi, I. (2024). Plane wave in infinite cylindrical cavity with fluid and two spherical solids. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, 78(1), 70–73. https://doi.org/10.17721/1812-5409.2024/1.13

Issue

Vol. 78 No. 1 (2024)

Section

Differential equations, mathematical physics and mechanics

License

Copyright (c) 2024 Veniamin Kubenko, Ihor Yanchevskyi

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