scholarly journals A model for nonlinear oscillations of a gas bubble in liquids.

1991 ◽  
Vol 90 (4) ◽  
pp. 2317-2317
Author(s):  
Jei‐Cheong Ryu ◽  
Ho‐Young Kwak
Keyword(s):  
Nonlinear Oscillations ◽  
Gas Bubble

MULTIPLE-SCALE AND NUMERICAL ANALYSES FOR THE NONLINEAR OSCILLATIONS OF A GAS BUBBLE SURROUNDED BY A MAXWELL'S FLUID

2019 ◽  
Vol 46 (3) ◽  
pp. 261-275
Author(s):  
César Yepes ◽  
Jorge Naude ◽  
Federico Mendez ◽  
Margarita Navarrete ◽  
Fátima Moumtadi
Keyword(s):  
Nonlinear Oscillations ◽  
Multiple Scale ◽  
Numerical Analyses ◽  
Gas Bubble

Forced nonlinear oscillations of a gas bubble in a large spherical flask (resonator) filled with a fluid

1998 ◽  
Vol 39 (5) ◽  
pp. 719-728
Author(s):  
R. I. Nigmatulin ◽  
V. Sh. Shagapov ◽  
G. Ya. Galeeva
Keyword(s):  
Nonlinear Oscillations ◽  
Gas Bubble ◽  
Large Spherical

A refined model of nonlinear nonspherical oscillations of a gas bubble in liquid

2007 ◽  
Vol 5 ◽  
pp. 241-247
Author(s):  
L.A. Kosolapova ◽  
V.G. Malakhov
Keyword(s):  
Mathematical Model ◽  
Nonlinear Oscillations ◽  
Spherical Shape ◽  
Bubble Surface ◽  
Surface Shape ◽  
Gas Bubble ◽  
Refined Model ◽  
Order Model ◽  
Third Order ◽  
The Third

A mathematical model of nonlinear oscillations of a gas bubble in a liquid is proposed, in which the change of the bubble surface shape is represented as a series of spherical harmonics, and the equations are accurate up to the third order with respect to the distortion amplitudes of the bubble spherical shape. It is shown that the application of the refined model can lead to modes of oscillation that differ from those obtained using the second-order model.

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.

scholarly journals Acoustic frequency combs using gas bubble cluster oscillations in liquids: a proof of concept

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Bui Quoc Huy Nguyen ◽  
Ivan S. Maksymov ◽  
Sergey A. Suslov
Keyword(s):  
Nonlinear Oscillations ◽  
Single Frequency ◽  
Ultrasound Wave ◽  
Optical Frequency ◽  
Gas Bubble ◽  
Acoustic Frequency ◽  
Bubble Cluster ◽  
Optical Frequency Combs ◽  
Frequency Combs ◽  
Physical Limitations

AbstractWe propose a new approach to the generation of acoustic frequency combs (AFC)—signals with spectra containing equidistant coherent peaks. AFCs are essential for a number of sensing and measurement applications, where the established technology of optical frequency combs suffers from fundamental physical limitations. Our proof-of-principle experiments demonstrate that nonlinear oscillations of a gas bubble cluster in water insonated by a low-pressure single-frequency ultrasound wave produce signals with spectra consisting of equally spaced peaks originating from the interaction of the driving ultrasound wave with the response of the bubble cluster at its natural frequency. The so-generated AFC posses essential characteristics of optical frequency combs and thus, similar to their optical counterparts, can be used to measure various physical, chemical and biological quantities.

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