Application of the Metal Ejecta Source Model Based on the Richtmyer–Meshkov Instability Physics for Calculating the Spectrum of Tin and Lead Particle Sizes

The shock-induced metal ejecta model based on the Richtmyer–Meshkov instability physics and developed for calculating the ejected mass of metal particles and their velocity distribution in the flow is applied to calculate the particle size distribution. The model is developed for metals transforming to a liquid state after the shock wave impact. It is shown that one has to know not only the density and surface tension of the liquid medium, but also the initial amplitude and wavelength of perturbations, as well as the shock wave profile for predicting the particle size spectrum in the case of liquid medium ejection. According to the theory developed, the particle size in the flow is largely determined by the perturbation wavelength than by the initial amplitude. The results are compared to experimental data on the size of nanoparticles ejected from narrow bands with initial perturbations on the free surface on tin and lead samples.