Rectified diffusion during nonlinear gas bubble oscillations

1991 ◽  
Vol 89 (4B) ◽  
pp. 1863-1863
Author(s):  
Vinod Kamath ◽  
Andrea Prosperetti
Keyword(s):  
Gas Bubble ◽  
Bubble Oscillations

scholarly journals Chaotic gas bubble oscillations in a viscoelastic fluid

2008 ◽  
Vol 336 (5) ◽  
pp. 411-416 ◽  
Author(s):  
Javier Jiménez-Fernández
Keyword(s):  
Viscoelastic Fluid ◽  
Gas Bubble ◽  
Bubble Oscillations

Deformation and Oscillations of a Single Gas Bubble Rising in a Narrow Vertical Tube

2006 ◽  
Author(s):  
Zhaoyuan Wang ◽  
Albert Y. Tong
Keyword(s):  
Terminal Velocity ◽  
Vertical Tube ◽  
Jump Discontinuity ◽  
Finite Volume Scheme ◽  
Computational Domain ◽  
Gas Bubble ◽  
Initial Stage ◽  
Bubble Rising ◽  
Bubble Oscillations ◽  
Stable Shape

A single gas bubble rising in a narrow vertical tube is investigated via a numerical model on a 3-D axisymmetric computational domain. The transient governing equations are solved by a finite volume scheme with a two-step projection method. The interface between the liquid and gas phase is tracked by a coupled level set and volume-of-fluid (CLSVOF) method. A surface tension modeling method, which preserves the jump discontinuity of pressure at the interface, is employed. The flow structure and terminal velocity obtained in the numerical simulation are in excellent agreement with experimental measurements. Special attention is paid to the bubble oscillations during the initial stage of ascent. It has been found that the bubble bottom undergoes severe oscillations while the nose maintains a stable shape. A parametric study is performed to identify the factors controlling the oscillations at the bubble bottom.

scholarly journals General Solution of the Rayleigh Equation for the Description of Bubble Oscillations Near a Wall

2018 ◽  
Vol 173 ◽  
pp. 03008 ◽  
Author(s):  
Ivan Garashchuk ◽  
Dmitry Sinelshchikov ◽  
Nikolay Kudryashov
Keyword(s):  
General Solution ◽  
Rigid Wall ◽  
Rayleigh Equation ◽  
Physical Parameters ◽  
Liquid Viscosity ◽  
Gas Bubble ◽  
Solution Properties ◽  
Weierstrass Elliptic Function ◽  
Dissipative Case ◽  
Bubble Oscillations

We consider a generalization of the Rayleigh equation for the description of the dynamics of a spherical gas bubble oscillating near an elastic or rigid wall. We show that in the non–dissipative case, i.e. neglecting the liquid viscosity and compressibility, it is possible to construct the general analytical solution of this equation. The corresponding general solution is expressed via the Weierstrass elliptic function. We analyze the dependence of this solution properties on the physical parameters.

A General Approach for Rectified Mass Diffusion of Gas Bubbles in Liquids Under Acoustic Excitation

2014 ◽  
Vol 136 (4) ◽  
Author(s):  
Yuning Zhang ◽  
Shengcai Li
Keyword(s):  
Biomedical Engineering ◽  
Thermal Effects ◽  
Gas Bubbles ◽  
Mass Diffusion ◽  
Present Approach ◽  
Acoustic Excitation ◽  
Gas Bubble ◽  
Bubble Motion ◽  
Acoustic Dissipation ◽  
Bubble Oscillations

Rectified mass diffusion serves as an important mechanism for dissolution or growth of gas bubbles under acoustic excitation with many applications in acoustical, chemical and biomedical engineering. In this paper, a general approach for predicting rectified mass diffusion phenomenon is proposed based on the equation of bubble motion with liquid compressibility. Nonuniform pressure inside gas bubbles is considered in the approach through employing a well-established framework relating with thermal effects during gas bubble oscillations. Energy dissipation mechanisms (i.e., viscous, thermal, and acoustic dissipation) and surface tension are also included in the approach. Comparing with previous analytical investigations, present approach mainly improves the predictions of rectified mass diffusion in the regions far above resonance and regions with frequencies megahertz and above. Mechanisms for the improvements are shown and discussed together with valid regions and limitations of present approach.

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