ISSN 2542–0380 
Труды Института механики им. Р.Р. Мавлютова
Электронный научный журнал  Electronic Scientific Journal
Proceedings of the Mavlyutov Institute of Mechanics

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 μm, 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 RayleighPlesset 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.
cavity,
bubble collapse,
shock waves,
distortion of spherical shape,
bubble nonsphericity
Purpose. To compare water, acetone and tetradecane with respect to the possibility of arising of shock waves in a single cavitation bubble and the stability of its spherical shape during collapse.
Methodology. Numerical experiment using a mathematical model in which the movement of the interphase boundary is governed by the RayleighPlesset equation, the thermodynamic parameters of the vapor are uniform, the state of the vapor being described by the modified Van der Waals equation.
Findings. The shock waves inside the 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.
Originality/value. To implement the shock waves in a cavitation bubble during its collapse, when the liquid pressure is in the range of 1100 bar and the temperature is in the range of 293313 K, among such liquids as tetradecane, water and acetone it is preferable to use tetradecane. However, it should be taken into account that destruction of the bubble due to the bubble surface deformation is most likely in the case of tetradecane.