摘要
可压缩液体中气泡的球形稳定性对核电站设备及其附属的过流部件的稳定运行起着至关重要的作用。本文利用匹配渐进展开式的方法,建立了可压缩液体中气泡球形扰动的理论模型。利用气泡的泡壁马赫数将泡壁附近的液体分为内场和外场,将内场的流体近似为不可压缩液体,使用拉普拉斯方程计算。外场的流体认为是可压缩液体,用波动方程来描述。通过内外匹配渐进展开法推导了可压缩液体中气泡的球形扰动方程。基于扰动方程中焓的两种表示方式(用压力近似焓或直接用焓表示),讨论了这两种方程预测的气泡球形扰动振荡特性相关物理量(扰动振幅、扰动振幅变化速度和扰动振幅变化的加速度)的差异。通过对比,发现这两种方程预测结果的差异主要体现在上述物理量的极值处,并且直接用焓表示的方程预测的极值更大。此外,还定量研究了初始气泡半径和环境压力对两种方程预测结果的影响。
The spherical stability of the bubble in compressible liquid is of great significance for the stable operation of nuclear power plant equipment and its auxiliary flow components.In this paper,the theoretical model of the bubble spherical disturbance in compressible liquid is established by employing the matched asymptotic expansion method.Based on the bubble wall Mach number,the liquid near the bubble wall is divided into internal field and external field.The liquid at the internal field is approximated as incompressible liquid and calculated by the Laplace equation.The liquid at the external field is regarded as the compressible liquid and described by the wave equation.The bubble spherical perturbation equation in compressible liquid is derived by the internal and external matching asymptotic expansion method.Based on the two representations of the enthalpy in the disturbance equation(whether enthalpy is replaced by pressure),the differences of the physical quantities(the perturbation amplitude,the change velocity and acceleration of the perturbation amplitude)related to the oscillation characteristics of the bubble spherical perturbation predicted by the two equations are discussed.By quantitatively comparison,it is found that the difference between the prediction results of the two equations is mainly reflected in the extreme values of the above physical quantities,and the extreme values predicted by the equation expressed by the enthalpy is larger.Moreover,the effects of the initial bubble radius and ambient pressure on the prediction results of the two equations are also quantitatively investigated.
作者
张宇宁
周星
郑潇潇
丁志凌
ZHANG Yuning;ZHOU Xing;ZHENG Xiaoxiao;DING Zhiling(College of Mechanical and Transportation Engineering,China University of Petroleum-Beijing,Beijing 102249,China;Beijing Key Laboratory of Process Fluid Filtration and Separation,China University of Petroleum-Beijing,Beijing 102249,China;China Fire and Rescue Institute,Beijing 102206,China)
出处
《核科学与工程》
CAS
CSCD
北大核心
2024年第2期416-427,共12页
Nuclear Science and Engineering
基金
国家自然科学基金(52076215)项目资助。
关键词
泡动力学
空化
球形稳定性
Bubble dynamics
Cavitation
Spherical stability
