Fig. 1

Results of numerical calculations of Eq. (1) illustrating the change of the dimensionless bubble radius \(R\left( t \right)/{R_0}\) over time (orange line) influenced by a planar acoustic wave with the instantaneous acoustic pressure \(P\left( t \right)/{P_A}\) (black dashed line). The plots are calculated for a bubble with \({R_0}={10^{ - 5}}\) m immersed into the 316 L melt. The oscillations occur in the resonant mode with the pressure amplitude \(P_{A}^{{rth}}=2 \times {10^5}\) Pa of the acoustic wave at the natural frequency \(\nu =220~{\text{kHz}}\) which correspond to the black diamond marker in Fig. 2.