Evolution of a small sphericity distortion of a vapor bubble during its supercompression
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.
Keywordsbubble dynamics acoustic cavitation cavitation bubble bubble collapse stability of the spherical shape
Unable to display preview. Download preview PDF.
- 5.R. I. Il’kaev and S. G. Garanin, “A Study of the Problems of Nuclear Synthesis on the Powerful Laser Installations,” Vestn. Ross. Akad. Nauk 76(6), 503 (2006).Google Scholar
- 6.I. G. Lebo and V. F. Tishkin, A Study of Hydrodynamic Instability in the Problems of Laser Thermonuclear Synthesis by the Methods of Mathematical Modeling (FIZMATLIT, Moscow, 2006) [in Russian].Google Scholar
- 9.E. G. Gamalii, “Stability of the Boundary of Cavitating Bubble in the Incompressible Liquid,” Kratk. Soobshch. Fiz. FIAN, No. 5, 23 (1976).Google Scholar
- 10.E. G. Gamalii, I. G. Lebo, V. B. Rozanov, and G. M. Sergoyan, “On the Development of Hydrodynamic Instability of the Boundaries of Spherical Shell from Incompressible Liquid,” Kratk. Soobshch. Fiz. FIAN, No. 5, 7 (1987).Google Scholar
- 18.R. I. Nigmatulin, Dynamics of Multiphase Media, Vol.1, 2, Hemisphere, 1990.Google Scholar
- 21.A. A. Aganin, “Dynamics of a Small Bubble in a Compressible Fluid,” Int. J. Numer. Methods Fluids, No. 33, 157 (2000).Google Scholar