Evolution of a small sphericity distortion of a vapor bubble during its supercompression

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• 作者：A. A. Aganin (1) aganin@kfti.knc.ru
  D. Yu. Toporkov (1) dem17@rambler.ru
  T. F. Khalitova (1) taliny@mail.ru
  N. A. Khismatullina (1) nailya_hism@mail.ru
• 关键词：bubble dynamics &#8211 ; acoustic cavitation &#8211 ; cavitation bubble &#8211 ; bubble collapse &#8211 ; stability of the spherical shape
• 刊名：Mathematical Models and Computer Simulations
• 出版年：2012
• 出版时间：May 2012
• 年：2012
• 卷：4
• 期：3
• 页码：344-354
• 全文大小：287.6 KB
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• 作者单位：1. Institute of Mechanics and Engineering, Kazan Science Center, Russian Academy of Sciences, Lobachevsky str. 2/31, Kazan, 420111 Russia
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematical Modeling and IndustrialMathematics
  Simulation and Modeling
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：2070-0490

文摘

The possibility of using two models to study the evolution and maximum increase in amplitude of small distortions of sphericity of a bubble during its strong compression in a liquid is investigated. The investigation is performed in the conditions of experiments on acoustic cavitation of deuterated acetone. The first (fully hydrodynamic) model is based on the two-dimensional equations of gas dynamics. It is valid in every stage of the bubble compression. But its use takes up a lot of computational time. The second (simplified) model is derived by splitting the liquid and vapor motion into a spherical part and its small nonspherical perturbation. To describe the spherical component, a onedimensional version of the two-dimensional model is used in this model. The advantage of the simplified model over the full one is its much lower consumption of computational time. At the same time, the evolution of the nonspherical perturbation in this model is described by utilizing a number of assumptions, validity of which is justified only at the initial stage of the bubble compression. It is therefore logical to apply the simplified model at the initial low-speed stage of the bubble compression, while the full hydrodynamic one is applied at its final high-speed stage. It has been shown that such a combination allows one to significantly reduce the computational time. It has been found that the simplified model alone can be used to evaluate the maximum increase of the amplitude of small sphericity distortions of a bubble during its compression.