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Numerical Simulation of Collapse and Rebound of a Cavitation Bubble in Water

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Abstract

A numerical technique for studying the collapse and rebound of a spherical cavitation bubble in an unbounded volume of water is presented (the bubble is filled with water vapor). The dynamics of the vapor in the bubble and the surrounding liquid is governed by the equations of gas dynamics with allowing for the heat conductivity of the fluids, the heat and mass exchange across the bubble surface. The governing equations of the vapor and liquid dynamics are closed by the known wide-range equations of state by Nigmatulin and Bolotnova. The numerical solution is calculated by the Godunov method on moving grids refined to the bubble surface according to the geometric progression. The infinite liquid area is replaced by a spherical layer, on the external surface of which a ‘‘non-reflecting’’ boundary condition is posed. The role of such a condition is played by the Rayleigh–Plesset equation. The efficiency of this technique is illustrated by comparison of its results with the available numerical solutions and the experimental data on the cavitation bubble collapse and rebound in water.

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  1. Institute of Mechanics and Engineering, Kazan Scientific Center, Russian Academy of Sciences, 420111, Kazan, Russia

    I. N. Mustafin

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Correspondence to I. N. Mustafin.

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(Submitted by D. A. Gubaidullin)

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Mustafin, I.N. Numerical Simulation of Collapse and Rebound of a Cavitation Bubble in Water. Lobachevskii J Math 44, 1771–1777 (2023). https://doi.org/10.1134/S1995080223050451

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  • DOI: https://doi.org/10.1134/S1995080223050451

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