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从双流体概念出发，结合气—液两相流的特点，建立了描述两相湍流流动两方程模型，两方程为液相湍动能（ｋ）方程和湍动能耗散率（ε）方程．通过对各时均运动方程和两方程中三阶以下湍流相关项作模型化处理，完成了两相流基本方程组的封闭，并将模型用于均匀环境中圆形气泡羽流的数值计算，初步证实了其正确有效性．
Based on the concept of two-fluid and combining the characteristics of gas-liquid two-phase flow, a two-equation model describing two-phase turbulent flow is established. The two equations are the turbulent kinetic energy (k) equation and the turbulent kinetic energy dissipation rate (ε). By modeling the time-averaged motion equations and the third-order turbulence-related terms in the two equations, the basic equations of the two-phase flow are closed and the model is used to calculate the circular bubble plume in a uniform environment. Preliminary confirmed its correct and effective.