空化空泡发育和溃灭过程的数值分析  

Numerical Analysis on Growth and Collapse of Cavitation Bubble

作　　者：卢义玉[1] 葛兆龙[1] 李晓红[1] 沈大富 康勇[1] 陈久福 

机构地区：[1]重庆大学资源及环境科学学院,重庆400044 [2]重庆市松藻煤电有限责任公司,重庆401445

出　　处：《中国矿业大学学报》2009年第4期582-585,594,共5页Journal of China University of Mining & Technology

基　　金：国家创新研究群体基金项目(50621403);国家自然科学基金项目(50604019);教育部新世纪优秀人才支持计划项目(NCET-06-0767)

摘　　要：基于空化空泡发育和溃灭过程的热力学分析,综合考虑热传导和热辐射的影响,提出了一个新的用于数值分析空泡变化过程的数学模型——热传导-热辐射模型.结合Runge-Kutta-Fe-hlberg法,利用3个数值分析模型(等温模型、绝热模型和热传导-热辐射模型)求解了描述空泡发育和溃灭过程的Rayleigh-Plesset方程,并将数值计算结果与不同研究人员所得到的试验结果进行了比较.结果表明:热传导-热辐射模型可以以较高精度地数值模拟空化空泡的变化过程,其计算结果与试验结果吻合较好.Based on thermal analyses of growth and collapse of cavitation bubbles in liquids and considerations of heat conduction and thermal radiation effects, a new numerical method, Conduction-Radiation Method, for simulation cavitation bubbles was proposed. Combined with Runge-Kutta-Fehlberg Method and three methods （Isothermal Model, Adiabatic Model and Conduction-Radiation Method）, Rayleigh-Plesset equation was solved. Comparisons of numerical simulations using the three methods were made. The result shows that the Conduction-Radiation Method has potential to simulate the cavitation bubble life cycles with satisfactory accuracy. The calculation results with Conduction-Radiation Method agree very well with the three groups of experimental results.

关 键 词：Rayleigh—Plesset方程 热传导-热辐射模型 空泡 数值分析 

分 类 号：TB126[理学—工程力学]