Acoustic Waves in a Liquid with Gas Bubbles Covered by a Viscoelastic Shell

2019 ◽  
Vol 54 (2) ◽  
pp. 270-278 ◽  
Author(s):  
D. A. Gubaidullin ◽  
Yu. V. Fedorov
1984 ◽  
Vol 148 ◽  
pp. 301-318 ◽  
Author(s):  
A. Biesheuvel ◽  
L. Van Wijngaarden

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.


2013 ◽  
Vol 135 (9) ◽  
Author(s):  
Yuning Zhang

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.


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

2012 ◽  
Vol 9 (1) ◽  
pp. 65-68
Author(s):  
R.N. Gafiyatov

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.


2019 ◽  
Vol 1328 ◽  
pp. 012089
Author(s):  
D A Gubaidullin ◽  
D D Gubaidullina ◽  
Yu V Fedorov

Nanophotonics ◽  
2019 ◽  
Vol 8 (3) ◽  
pp. 367-390 ◽  
Author(s):  
Ivan S. Maksymov ◽  
Andrew D. Greentree

AbstractNonlinear optical processes are vital for fields including telecommunications, signal processing, data storage, spectroscopy, sensing and imaging. As an independent research area, nonlinear optics began with the invention of the laser, because practical sources of intense light needed to generate optical nonlinearities were not previously available. However, the high power requirements of many nonlinear optical systems limit their use, especially in portable or medical applications, and so there is a push to develop new materials and resonant structures capable of producing nonlinear optical phenomena with low-power light emitted by inexpensive and compact sources. Acoustic nonlinearities, especially giant acoustic nonlinear phenomena in gas bubbles and liquid droplets, are much stronger than their optical counterparts. Here, we suggest employing acoustic nonlinearities to generate new optical frequencies, thereby effectively reproducing nonlinear optical processes without the need for laser light. We critically survey the current literature dedicated to the interaction of light with nonlinear acoustic waves and highly nonlinear oscillations of gas bubbles and liquid droplets. We show that the conversion of acoustic nonlinearities into optical signals is possible with low-cost incoherent light sources such as light-emitting diodes, which would usher new classes of low-power photonic devices that are more affordable for remote communities and developing nations, or where there are demanding requirements on size, weight and power.


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