STEADY-STATE AMPLITUDE OF NONLINEAR OSCILLATIONS OF A GAS BUBBLE IN A LIQUID UNDER THE ACTION OF PERIODIC EXTERNAL PRESSURE AT RESONANCE

A. G. Petrov; Петров А. Г.

doi:10.31857/S1024708423600161

STEADY-STATE AMPLITUDE OF NONLINEAR OSCILLATIONS OF A GAS BUBBLE IN A LIQUID UNDER THE ACTION OF PERIODIC EXTERNAL PRESSURE AT RESONANCE

Authors: Petrov A.G.¹
Affiliations:
1. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Issue: No 5 (2023)
Pages: 3-9
Section: Articles
URL: https://journals.rcsi.science/1024-7084/article/view/135075
DOI: https://doi.org/10.31857/S1024708423600161
EDN: https://elibrary.ru/WOOMFM
ID: 135075

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Abstract
About the authors
References
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Abstract

The forced nonlinear oscillations of a gas bubble in a liquid are studied when the frequency of oscillations of the external pressure of the liquid is equal to the natural frequency of the bubble oscillations (resonance). Using the averaging method, a simple formula is derived for the dependence of the amplitude of oscillations of a gas bubble on the amplitude of the external pressure and the thermophysical characteristics of the gas and liquid viscosity. Its good agreement with numerical calculations is shown up to the value of the amplitude of oscillations of the bubble radius comparable with its equilibrium value.

Keywords

gas bubbles, forced nonlinear oscillations, resonance, homobaricity, liquid

About the authors

A. G. Petrov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences

Author for correspondence.
Email: petrovipmech@gmail.com
Moscov, Russia

References

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