Self-Induced Transparency and Frequency Conversion Effects for Acoustic Waves in Water Containing Gas Bubbles

1980 ◽  
pp. 151-156 ◽  
Author(s):  
Yu A. Kobelev ◽  
L. A. Ostrovsky ◽  
A. M. Sutin
Keyword(s):  
Acoustic Waves ◽  
Frequency Conversion ◽  
Gas Bubbles ◽  
Induced Transparency

scholarly journals Two-phase flow equations for a dilute dispersion of gas bubbles in liquid

1984 ◽  
Vol 148 ◽  
pp. 301-318 ◽  
Author(s):  
A. Biesheuvel ◽  
L. Van Wijngaarden
Keyword(s):  
Acoustic Waves ◽  
Equations Of Motion ◽  
Gas Bubbles ◽  
Local Stress ◽  
Mass Conservation ◽  
Ensemble Averaging ◽  
Two Phase ◽  
Average Force ◽  
Gas Concentration ◽  
Flow Equations

Equations of motion correct to the first order of the gas concentration by volume are derived for a dispersion of gas bubbles in liquid through systematic averaging of the equations on the microlevel. First, by ensemble averaging, an expression for the average stress tensor is obtained, which is non-isotropic although the local stress tensors in the constituent phases are isotropic (viscosity is neglected). Next, by applying the same technique, the momentum-flux tensor of the entire mixture is obtained. An equation expressing the fact that the average force on a massless bubble is zero leads to a third relation. Complemented with mass-conservation equations for liquid and gas, these equations appear to constitute a completely hyperbolic system, unlike the systems with complex characteristics found previously. The characteristic speeds are calculated and shown to be related to the propagation speeds of acoustic waves and concentration waves.

A Generalized Equation for Scattering Cross Section of Spherical Gas Bubbles Oscillating in Liquids Under Acoustic Excitation

2013 ◽  
Vol 135 (9) ◽  
Author(s):  
Yuning Zhang
Keyword(s):  
Cross Section ◽  
Acoustic Waves ◽  
Ambient Pressure ◽  
Gas Bubbles ◽  
Resonance Region ◽  
Generalized Equation ◽  
Scattering Cross Section ◽  
Acoustic Excitation ◽  
Spherical Waves ◽  
Scattering Cross

When irradiated by acoustic waves, gas bubbles can generate divergent spherical waves, which are frequently used to detect the sizes and number density of the gas bubbles. In this paper, a generalized equation for scattering cross section of spherical gas bubbles oscillating in liquids under acoustic excitation is proposed. Comparing with formulas in the literature, this generalized equation can improve the predictions of acoustical scattering cross section in the near-resonance region with high ambient pressure and above-resonance region.

Waves of Acoustically Induced Transparency in Bubbly Liquids: Theoretical Prediction and Experimental Validation

2013 ◽  
Author(s):  
Nail A. Gumerov ◽  
Iskander S. Akhatov ◽  
Claus-Dieter Ohl ◽  
Sergei P. Sametov ◽  
Maxim V. Khasimulin ◽  
...  
Keyword(s):  
Acoustic Field ◽  
Acoustic Waves ◽  
Three Dimensional ◽  
Self Organization ◽  
Nonlinear Phenomenon ◽  
Three Dimensional Model ◽  
Bubbly Liquids ◽  
Strongly Nonlinear ◽  
Induced Transparency ◽  
Good Agreement

Self-organization of bubbles in acoustic fields, or self-action of the acoustic waves in bubbly liquids is a strongly nonlinear phenomenon due to two-way interaction of the bubbles and the acoustic field. Theoretical model and preliminary computations predict that waves of self-induced acoustic transparency may exist. Such effect is confirmed in the experiments presented in this paper. Formation of a wave of void fraction which rapidly propagates through the bubbly medium leaving a region almost free of bubbles behind its front is observed in the experiments. Measurements of the dynamics of such a wave at different acoustic frequencies and amplitudes are carried out. A three dimensional model of self-organization of a polydisperse bubble continuum in acoustic field is developed and the results of simulations are compared with experiments. A good agreement of the theory and experiment is found.

Cooperative radiation of acoustic waves by gas bubbles in a liquid.

1992 ◽  
Vol 91 (4) ◽  
pp. 2351-2351
Author(s):  
Yu. A. Il’insky ◽  
E. A. Zabolotskaya
Keyword(s):  
Acoustic Waves ◽  
Gas Bubbles

Acoustic waves in two-fraction mixtures of liquid with vapor-gas bubbles

2012 ◽  
Vol 9 (1) ◽  
pp. 65-68
Author(s):  
R.N. Gafiyatov
Keyword(s):  
Acoustic Waves ◽  
Gas Bubbles ◽  
Transformation Method ◽  
Fast Fourier Transformation ◽  
Fourier Transformation Method ◽  
Impulse Pressure ◽  
Pressure Perturbations ◽  
The Mathematical Model ◽  
Different Gases ◽  
Fractional Mixture

The mathematical model of two-fractional mixture of liquid with vapor-gas bubbles of different gases and sizes with phase transformations is presented. The dispersive equation is received, dispersive curves that determine the propagation of acoustic disturbances was plotted. Calculations on the propagation of impulse pressure perturbations were performed by means of a fast Fourier transformation method.

Frequency conversion through nonlinear mixing in acoustic waves

2020 ◽  
Vol 128 (6) ◽  
pp. 064105
Author(s):  
Joseph D. Schneider ◽  
Ting Lu ◽  
Sidhant Tiwari ◽  
Xiating Zou ◽  
Ajit Mal ◽  
...  
Keyword(s):  
Acoustic Waves ◽  
Frequency Conversion ◽  
Nonlinear Mixing

scholarly journals Dynamics of acoustic waves in a liquid with solid particles and gas bubbles

2019 ◽  
Vol 1328 ◽  
pp. 012089
Author(s):  
D A Gubaidullin ◽  
D D Gubaidullina ◽  
Yu V Fedorov
Keyword(s):  
Acoustic Waves ◽  
Gas Bubbles ◽  
Solid Particles
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