HYDRODYNAMICS AND ACOUSTICS

This document is licensed under CC BY-NC-ND 4.0

2026 ◊ Volume 4 (94) ◊ Issue 1 ◊ p. 5-27  

https://doi.org/10.15407/jha2026.01.005

  O. P. Zhuk^*,   V. D. Kubenko^*,   Y. O. Zhuk^**

^* S. P. Timoshenko Institute of Mechanics of NAS of Ukraine

^** Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

On the acoustic radiation force calculation for rigid spherical particle located in the fluid-filled cylindrical tube with rigid or elastic walls

Gidrodin. akust. 2026, 4(1):005-027

TEXT LANGUAGE: English

ABSTRACT

The acoustic pressure and acoustic radiation force (ARF) acting on the spherical rigid particle immersed in a fluid filling the rigid or elastic cylindrical tube are calculated. An expression for ARF is deduced for the case when the incident wave is a plane wave propagating along the axis of the tube. Both acoustic pressure and ARF are determined as the function of the primary wave frequency. The solution of the problem stated is derived with making use of the previously derived expressions for a plane harmonic wave scattering on a spherical body. The problem is attacked with the application of the variable separation technique. The most complex part of the problem is the boundary conditions satisfaction on cylindrical and spherical surfaces. The mutual expansions of spherical wave functions over the cylindrical ones and vice versa are used for this purpose. An exact analytical solution was derived as the special function expansion. The coefficients of the expansion are calculated using the infinite system of the algebraic equations, which is solved by a truncation method. Simulation results demonstrate that the ARF value is significantly affected by the presence of the cylindrical boundary surface. It is caused by the influence of the acoustic wave scattered by the cylindrical surface of the tube. The sharp resonance-like peaks occur at the same positions in the ARF vs. incident wave frequency curves. This effect is caused by the resonance-like behavior of the fluid-filled cylinder, i.e., the peaks' presence at some discrete values of the frequency is stipulated by specific localization effects and influences the motion of the particles in the cylindrical fluid-filled cavity. It is also found that depending on the frequency of an incident wave, the ARF can change its direction. This effect provides the scientific basis for the particle manipulation technique if the ones are located in the fluid-filled tubes with both rigid and elastic walls.

KEY WORDS

acoustic radiation force, cylindrical tube, spherical particle, ideal compressible fluid, plane harmonic wave

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