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5Numerical approach of spherical bubble oscillations in laser-induced microcavitations: effect of enthalpy
A.F. Abu-Bakr1, A.K. Abu-Nab12*, Z. AbuShaeer3
1-Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin
El-Koom, 32511, Egypt
2- Phystech School of Applied Mathematics and Informatics, Moscow Institute of Physics and Technology,
Dolgoprudny, Moscow, 141700, Russia 3- Department of Basic Science, Higher Institute of Engineering and Technology, Kafrelsheikh, 33511, Egypt
Over the past decades, interest has increased in studying different techniques to detect the importance of microbubbles in many industrial and medical applications such as mechanisms of hydraulic machinery cavitation erosion, histotripsy, and lithotripsy. The dynamics of laser-induced spherical microcavitation bubbles in water were by plasma photography, from initial nonlinear oscillations to late linear oscillations. Repetition of such delayed oscillations results in quantities of gas/vapour inside the spherical bubbles. In this work, we present a numerical investigation of the behavior of laser-induced microbubbles through a modified Gilmore model in biotissue system. The effect of enthalpy is considered into account. The proposed model is solved numerically using the numerical techniques as finite element method. In addition, the radius of the microbubbles is calculated as a function of time under the influence of the initial radius of these laser-induced microcavitations. Moreover, some physical properties and numerical calculations of the proposed mathematical model of laser-induced cavitation bubbles are deduced, analyzed and investigated.
