Numerical solution of the problem of homogeneous nucleation in the liquid phase

The paper considers the processes taking place in the liquid phase: nucleation in liquids and liquid metals, electrical explosion of conductors and spark cavitation. It is established that all these processes are well described by the basic equation of cavitation, which is solved numerically by the Runge–Kutta method. For this purpose, a program in the Fortran programming language has been created, and a method for determining the time of appearance of cavitation nuclei by the method of numerical integration has been described. A mathematical model of homogeneous nucleation in the liquid phase was created. With the help of the created model, such parameters as the time of appearance of a cavitation bubble for various frequencies of external influence were calculated. The maximum amplitude and period of the natural oscillations of a bubble at various frequencies. Copyright © 2019 for the individual papers by the papers’ authors.