Charged Cavitation Multibubbles Dynamics Model: Growth Process

Ahmed K. Abu-Nab (), Amerah M. Hakami and Ali F. Abu-Bakr
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Ahmed K. Abu-Nab: Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom 32511, Egypt
Amerah M. Hakami: Department of Mathematics, Faculty of Science, Jazan University, Jazan 82723, Saudi Arabia
Ali F. Abu-Bakr: Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom 32511, Egypt

Mathematics, 2024, vol. 12, issue 4, 1-18

Abstract: The nonlinear dynamics of charged cavitation bubbles are investigated theoretically and analytically in this study through the Rayleigh–Plesset model in dielectric liquids. The physical and mathematical situations consist of two models: the first one is noninteracting charged cavitation bubbles (like single cavitation bubble) and the second one is interacting charged cavitation bubbles. The proposed models are formulated and solved analytically based on the Plesset–Zwick technique. The study examines the behaviour of charged cavitation bubble growth processes under the influence of the polytropic exponent, the number of bubbles N , and the distance between the bubbles. From our analysis, it is observed that the radius of charged cavitation bubbles increases with increases in the distance between the bubbles, dimensionless phase transition criteria, and thermal diffusivity, and is inversely proportional to the polytropic exponent and the number of bubbles N . Additionally, it is evident that the growth process of charged cavitation bubbles is enhanced significantly when the number of bubbles is reduced. The electric charges and polytropic exponent weakens the growth process of charged bubbles in dielectric liquids. The obtained results are compared with experimental and theoretical previous works to validate the given solutions of the presented models of noninteraction and interparticle interaction of charged cavitation bubbles.

Keywords: charged bubbles; interparticle interaction; growth process; analytical solution; Plesset–Zwick technique (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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