2014
DOI: 10.1016/j.wavemoti.2014.06.001
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Numerical simulations of the primary Bjerknes force experienced by bubbles in a standing ultrasonic field: Nonlinear vs. linear

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Cited by 9 publications
(4 citation statements)
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“…Results of modeling a primary Bjerknes force in an ultrasonic wave in the presence of bubbles in a fluid are given in work [25]. It is noted that the obtained results at small amplitudes are consistent with the classical theory.…”
Section: Literature Review and Problem Statementmentioning
confidence: 56%
“…Results of modeling a primary Bjerknes force in an ultrasonic wave in the presence of bubbles in a fluid are given in work [25]. It is noted that the obtained results at small amplitudes are consistent with the classical theory.…”
Section: Literature Review and Problem Statementmentioning
confidence: 56%
“…In contrast to the second stage, the pressure difference in and out the bubble is bigger, and the size of bubble, especially the thickness D bmax of ventilation bubble, increases faster, as can be seen in frame (a) of figure 18, when γ ⩽ 0.125. Besides, the free surface begins to exert a repulsive force to the upper side of ventilation bubble, similar to the Bjerknes force between surfaces bubbles (Vanhille and Campos Pozuelo 2014) or free surface and bubble (Li et al 2016, Cui et al 2018, which induces the center of the ventilation bubble to move downward, however this effect is relatively small based on the experiment data in frames (c) and (d), in which the declination trend of L bcenter L bmax and D bcenter D bmax have no obvious change. Which should be mentioned is that as the moving cylinder is nearly touching the freesurface, the ventilation bubble becomes 'fat', since D bmax has an apparent increase at this stage, as can be seen in frames (a) and (d).…”
Section: Influence Of the Fr On The Ventilation Bubble Dynamicmentioning
confidence: 99%
“…The results showed that the cavitation bubble cluster is mainly subjected to a first-order Bjerknes force caused by the pressure gradient of the oscillating bubble. When the acoustic pressure amplitude was small, the first-order Bjerknes force depended on the resonant frequency of the system; as the acoustic pressure amplitude increased, the first-order Bjerknes force had a significant effect on both bubble motion and aggregation patterns [ 31 ]. Zhang Zhiqiang applied the fluid–solid coupling (FSI) method to establish a multi-physical field coupling model for an acoustic–chemical reactor and systematically investigated the effect of sound field orientation on the sound field distribution characteristics.…”
Section: Ultrasonic Cleaning Technology and Applicationmentioning
confidence: 99%