For the first time, a zone model of the flow of incompressible and compressible liquid in the modulator of the apparatus based on the Navier-Stokes equations . was developed. A three-dimensional model of the fluid flow in the radial gap between the conical rotor and the stator was created, which made it possible to develop a method for calculating the power consumption for the rotor drive of the apparatus without empirical coefficients. In the study of cavitation phenomena, the dependence of the optimal value of the pulse cavitation criterion on the free gas content in the liquid was found for the first time. The monograph is intended for students and postgraduates studying in technical specialties, as well as scientific and engineering-technical workers dealing with issues of non-stationary flow and cavitation in technological volumes.