Basic Equations of Interfacial Area Transport in Gas-Liquid Two-Phase Flow

Abstract

The rigorous and consistent formulations of basic equations of interfacial area transport were derived using correlation functions of characteristic function of each phase and velocities of each phase.Turbulent transport term of interfacial area concentration was consistently derived and related to the difference between interfacial velocity and averaged velocity of each phase. Constitutive equations of turbulent transport terms of interfacial area concentration were proposed for bubbly flow. New transport model and constitutive equations were developed for churn flow.These models and constitutive equations are validated by experimental data of radial distributions of interfacial area concentration in bubbly and churn flow.