https://doi.org/10.1140/epjs/s11734-026-02197-y
Regular Article
Numerical study of nonlinear oscillations of charged microcavitation bubbles under ultrasound excitation in a dielectric liquid
1
Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, 32511, Shebin El-Kom, Egypt
2
Menoufia National University, Menoufia, Egypt
3
Moscow Center for Advanced Studies, Kulakova Str. 20, 123592, Moscow, Russia
4
Department of Basic Science, Higher Institute of Engineering and Technology, 33511, Kafrelsheikh, Egypt
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
4
November
2025
Accepted:
10
February
2026
Published online:
20
February
2026
Abstract
Cavitation dynamics in dielectric liquids under ultrasonic excitation play a central role in a broad range of applications, including biomedical ultrasound, microfluidics, and electrohydrodynamic processes. However, the combined influence of surface charge, fluid compressibility, and variable surface tension on the nonlinear oscillations of microcavitation bubbles remains insufficiently quantified. This paper introduces the numerical investigation of charged-acoustic microcavitation dynamics in dielectric liquids where it is focusing on the effects of variations in surface tension. The proposed model is based on a modified version of the Keller–Miksis model, in which the influence of surface charge is taken into account explicitly. The governing equation has been numerically solved using a fifth-order Runge–Kutta method to ensure sufficient accuracy and stability during the simulations. The results indicate that the inclusion of surface charge leads to noticeable improvements in the dynamic behavior of the cavitation as compared to the uncharged case. Bubbles with charge tend to undergo stronger oscillations, characterized by increased peak radii and higher collapse velocities. Analysis of phase portraits further reveals that trajectories associated with charged bubbles extend over broader amplitude domains in both radius and velocity, which may be linked to enhanced energy localization due to the electrostatic component. The proposed framework provides a physically consistent basis for modeling charged-acoustic cavitation in dielectric liquids and can be used to guide the design and optimization of charged-bubble-based technologies in biomedical and engineering applications.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
