Rayleigh-Plesset方程的一个新的参数解析解  

A New Parametric Analytical Solution for the Rayleigh-Plesset Equation

作　　者：秦玉鹏 张泉 王烁 金昊 王龙翔 蒋润龙 QIN Yupeng;ZHANG Quan;WANG Shuo;JIN Hao;WANG Longxiang;JIANG Runlong(School of Science,Henan Institute of Technology,Xinxiang 453003,China;Institute of Nonlinear Optimization Algorithms,Henan Institute of Technology,Xinxiang 453003,China;School of Vehicle and Traffic Engineering,Henan Institute of Technology,Xinxiang 453003,China)

机构地区：[1]河南工学院理学部,河南新乡453003 [2]河南工学院非线性优化算法研究所,河南新乡453003 [3]河南工学院车辆与交通工程学院,河南新乡453003

出　　处：《河南工学院学报》2025年第1期31-34,共4页Journal of Henan Institute of Technology

基　　金：国家自然科学基金项目(12202139);河南省科技研发联合基金青年科学家项目(235200810063);河南省科技攻关项目(242102310429)。

摘　　要：通过构造合适的变换,推导了理想流体中描述单个球形气泡周期脉动的Rayleigh-Plesset方程的一个新的参数解析解。通过与前人结果和数值解的对比,证明了该参数解析解的有效性。作为该参数解析解的直接应用,给出了脉动周期的解析表达式。最后,结合具体初值条件分析和讨论了气泡的运动规律。By establishing appropriate transformations,a new parametric analytical solution of the Rayleigh-Plesset equation for the periodic pulsation of a single spherical bubble in an ideal fluid is derived.By comparing with the previous one and numerical solution,the effectiveness of the new parametric analytical solution is demonstrated.As a direct application of the analytical solution,an analytical expression for the pulsation period is provided.Finally,the above analytical results are analyzed and discussed in conjunction with specific initial conditions.

关 键 词：气泡 Rayleigh-Plesset方程 变换 参数解析解 周期 

分 类 号：O352[理学—流体力学]