The ensemble-averaged characteristics of the bubble system during cavitation in the separator

Abstract

The object of research is the process of formation of vapor-gas bubbles at an early stage of hydrodynamic cavitation during throttling of the liquid in the axial valve separator. Designing a separator under conditions of decreasing bubble formation intensity is an urgent problem. Based on the energy approach, a stochastic model of the formation of an energetically closed system of bubbles in the separator according to the Gibbs ensemble is proposed. Analytical dependences are obtained for the density function and the bubble geometric characteristics averaged over the ensemble, depending on the design parameters, operating parameters, and physic-mechanical properties of the working medium, including the ratio of the gas and vapor contents in the inner cavity of the bubble. The expressions for the indicated distribution function over the size of the bubbles and for the ensemble-averaged characteristics of the system of bubbles formed (diameter and surface area) can be used in the formation of an engineering methodology for calculating control equipment.