Effect of diffusion on the evolution of a gas bubble in an acoustic field

1975 ◽  
Vol 28 (4) ◽  
pp. 415-418
Author(s):  
L. E. Kolesnikov ◽  
V. V. Sobolev
Keyword(s):  
Acoustic Field ◽  
Gas Bubble

scholarly journals Volume oscillation and acoustical scattering of a gas bubble

2019 ◽  
Vol 283 ◽  
pp. 06002
Author(s):  
Yan Ma ◽  
Tao Ma ◽  
Feiyan Zhao
Keyword(s):  
Cross Section ◽  
Acoustic Field ◽  
Driving Pressure ◽  
Single Bubble ◽  
Gas Bubble ◽  
Scattering Cross ◽  
Resonance Response ◽  
Linear Resonance ◽  
Volume Oscillation ◽  
Big Bubble

The exact solution of a gas bubble’ volume was obtained based on volume oscillation of a gas bubble. The volume pulsation, acoustic impedance, scattering pressure of a gas bubble, acoustical power of scattering and acoustical scattering cross section of a single bubble are researched in a small amplitude acoustic field. The results show that a big bubble oscillates more violently than that of a small bubble in a weak acoustic field if the linear resonance does not happen. The occurrence of a linear resonance response of a single bubble leads to the volume oscillation and the scattering ability of a gas bubble become stronger. Additionally, the scattering cross section does not depend on the driving pressure. The amplitude of scattering pressure of a big bubble can reach the magnitude compared to the driving pressure when the resonance response occurs.

scholarly journals Linear Iterative Procedure to Solve a Rayleigh–Plesset Equation

Acoustics ◽  
2021 ◽  
Vol 3 (1) ◽  
pp. 212-220
Author(s):  
Christian Vanhille
Keyword(s):  
Nonlinear System ◽  
Iterative Method ◽  
Linear Systems ◽  
Iterative Algorithm ◽  
Acoustic Field ◽  
Iterative Procedure ◽  
Gas Bubble ◽  
Stopping Criterion ◽  
Differential Problem ◽  
Bubble Volume

A nonlinear Rayleigh–Plesset equation for describing the behavior of a gas bubble in an acoustic field written in terms of bubble-volume variation is solved through a linear iterative procedure. The model is validated, and its accuracy and fast convergence are shown through the analysis of several examples of different physical meanings. The simplicity and usefulness of the presented method here in relation to the direct resolution of the whole nonlinear system, which is also discussed, make the method very attractive to solving a problem. This iterative method allows us to solve only linear systems instead of the nonlinear differential problem. Moreover, the implementation of the iterative algorithm includes a tolerance-dependent stopping criterion that is also tested.

Conservative Scheme Application for the Numerical Modeling of the Diffusion Problem for a Single Bubble in an Acoustic Field

2014 ◽  
Vol 10 ◽  
pp. 32-37
Author(s):  
E.V. Butyugina ◽  
E.Sh. Nasibullaeva ◽  
I.Sh. Akhatov ◽  
N.A. Gumerov
Keyword(s):  
Nonlinear Dynamics ◽  
Acoustic Field ◽  
Total Mass ◽  
Numerical Scheme ◽  
Diffusion Flux ◽  
Liquid System ◽  
Diffusion Problem ◽  
Gas Bubble ◽  
Conservative Scheme ◽  
Strongly Nonlinear

In the present study a numerical method for simulation of the diffusion problem for a single gas bubble oscillating in an acoustic field is developed. The method is based on the conservative numerical scheme for the diffusion equation where diffusion flux continuity is acting as conservation law. This method allows one to take into account the influence of changing mass of the gas inside the bubble on the strongly nonlinear dynamics of a bubble. The numerical results obtained using the proposed method utilizing conservative scheme and the standard scheme, which does not conserve the total mass of the gas-liquid system, reveals that in the latter case the numerical error may accumulate and lead to physically incorrect results.

scholarly journals Chaotic characteristics of gas bubble motion in acoustic field

2011 ◽  
Vol 60 (10) ◽  
pp. 104302
Author(s):  
Shen Zhuang-Zhi ◽  
Lin Shu-Yu
Keyword(s):  
Acoustic Field ◽  
Gas Bubble ◽  
Bubble Motion

Combined experimental and theoretical investigation of the gas bubble motion in an acoustic field

2018 ◽  
Vol 40 ◽  
pp. 480-487 ◽  
Author(s):  
Xiaojian Ma ◽  
Tianyu Xing ◽  
Biao Huang ◽  
Qiuhe Li ◽  
Yifei Yang
Keyword(s):  
Theoretical Investigation ◽  
Acoustic Field ◽  
Gas Bubble ◽  
Bubble Motion

Nonlinear Oscillations of a Spherically Symmetric Single Bubble in an Acoustic Field

2011 ◽  
Vol 8 (1) ◽  
pp. 45-53
Author(s):  
E.V. Volkova ◽  
E.Sh. Nasibullaeva
Keyword(s):  
Mass Transfer ◽  
Acoustic Field ◽  
Moving Boundary ◽  
Nonlinear Oscillations ◽  
Diffusion Problem ◽  
Spherically Symmetric ◽  
Lagrangian Coordinates ◽  
Gas Bubble ◽  
Bubble Wall ◽  
Convection Diffusion

In the present paper the dynamics of a single gas bubble under the influence of an acoustic field is studied, taking mass transfer through the moving bubble wall into account. Mass transfer is calculated separately in the diffusion problem. Due to changes in the pressure inside the bubble caused by oscillations of its volume, the concentration of the gas dissolved in the liquid undergoes oscillations of large amplitude near the bubble boundary. To eliminate the computational problems associated with the moving boundary, the convection-diffusion equations describing the transport of a gas dissolved in a liquid are written in Lagrangian coordinates.

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