Stochastic Model of Critical Regimes of Two-Phase Flows

Abstract

An attempt of developing and solving a mathematical model of a process is made taking into account a probabilistic distribution of determining parameters. It is based on correlation methods, namely, on the study of the relations between principal characteristics of a random process, – correlation, moment, structural or related functions. Statistical modeling of critical regimes in turbulent flows is carried out. Systems of non-closed equations are derived and carried to solution using certain simplifications. Systems of particles motion equations are composed taking into account their rotation around the center of mass in the flow. Stationary and non-stationary processes are mathematically described. All these models are reduced to numerical estimations. In conclusion, an example calculation is given, and an approximate estimation method based on its analysis is developed.