Phase Distribution Parameter Prediction Using Logistic Model in the Analysis of Two-Phase Flow

In the study of fluid dynamics, experimental study, theoretical analysis and mathematical numeric calculation are the three basic means to solve the problem. Due to the complexity of fluid motion mechanism, the theoretical exact solution is limited to only a few simple situations. This paper is based on the review of the previous studies, focused on the phase distribution parameter and through mathematical modeling of the phase distribution parameter, obtains a general equation for phase distribution parameter. Under some certain given conditions, the parameter should be divided into horizontal and vertical directions for detailed analysis. Then through the application of the logistic model, we concluded that there is a theoretical function that coincides with the empirical phase distribution parameter formula as a function of Froude number. From this basis, a more sophistical model is further developed on the use of the principle of similar analysis and numerically proved that there is a stronger correlation. Our work will also provide theoretical support for computational fluid dynamics application on the two-phase flow stability.