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Proceedings of the Mavlyutov Institute of Mechanics, 2017, Volume 12, Issue 1, Pages 1–8 (Mi pmim40)

Collapse of weakly nonspherical cavitation bubble

A. A. Aganin, D. Yu. Toporkov

Research Institute of Mechanics and Machinery of Kazan Scientific Center of the Russian Academy of Sciences

Abstract: Possibility of realizing shock waves in a single cavitation bubble and the growth of bubble nonsphericity during its collapse in water, acetone, and tetradecane are studied. The radius of the bubble is 500 $\mu$m, the liquid pressure and temperature are in the ranges of $1-100$ bar and $293-313$ K, respectively. A relatively simple mathematical model is used in which the movement of the interphase boundary is governed by the Rayleigh-Plesset equation. The thermodynamic parameters of the vapor are assumed uniform, the state of the vapor being described by the modified Van der Waals equation. The calculations show that the shock waves inside a bubble in tetradecane are found to arise in all the conditions under consideration. Inside the bubble in acetone they do not appear at relatively low pressures while inside the bubble in water they never arise. Sphericity perturbations of the bubble grow to the highest degree in tetradecane (up to several thousand times) and to the smallest degree in acetone (up to several tens of times). In the case of water the perturbations increase up to a thousand times.

Keywords: cavity, bubble collapse, shock waves, distortion of spherical shape, bubble nonsphericity.

UDC: 533;532

Received: 03.04.2017

DOI: 10.21662/uim2017.1.001



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