Effect of charge on the dynamics of an acoustically forced bubble

Hongray, Thotreithem and Ashok, B and Balakrishnan, Janaki (2013) Effect of charge on the dynamics of an acoustically forced bubble. arXiv.org.

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Abstract: The effect of charge on the dynamics of a gas bubble undergoing forced oscillations in a liquid due to incidence of an ultrasonic wave is theoretically investigated. The limiting values of the possible charge a bubble may physically carry are obtained. The presence of charge influences the regime in which the bubble's radial oscillations fall. The extremal compressive and expansive dimensions of the bubble are also studied as a function of the amplitude of the driving pressure. It is shown that the limiting value of the bubble charge is dictated both by the minimal value reachable of the bubble radius as well as the amplitude of the driving ultrasound pressure wave. A non-dimensional ratio zeta is defined that is a comparative measure of the extremal values the bubble can expand or contract to and find the existence of an unstable regime for zeta as a function of the driving pressure amplitude, Ps. This unstable regime is gradually suppressed with increasing bubble size. The Blake and the upper transient pressure thresholds for the system are then discussed.
Item Type: Journal Paper
Additional Information: Copyright belongs to Publisher.
Subjects: School of Natural and Engineering Sciences > Mathematical Modeling
Programmes > Complex Systems Programme
Divisions: Schools > Natural Sciences and Engineering
Date Deposited: 09 Sep 2015 10:31
Last Modified: 22 Dec 2020 17:01
Official URL: http://arxiv.org/abs/1304.4905
Related URLs:
Funders: T.H. supported by a Rajiv Gandhi National Fellowship from the University Grants Commission, New Delhi, for his doctoral studies
Projects: UNSPECIFIED
DOI: 10.1088/0951-7715/27/6/1157
URI: http://eprints.nias.res.in/id/eprint/693

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