A model was developed for solids-liquid flow with any solids concentrations. The model includes the two-phase flow equations for the entire flow. It includes also the rheology law and the particle transfer equation with account for interphase slipping. The statistical model of turbulence accounts for the turbulence modulation by particles. The model was tested on a problem about a steady state flow with suspended heavy particles in a horizontal pipe. Comparison with experimental data and other accurate simulations demonstrated that this new model is useful for predicting the features of turbulent suspension flows. The secondary flows in a pipe show three-layered structure of the two-phase flow.

针对任何固体浓度的固液流动建立了模型。该模型包括整个流的两相流方程。它也包括流变律和考虑相间滑移的颗粒转移方程。湍流的统计模型解释了颗粒对湍流的调制。测试了该模型的问题，该问题涉及水平管道中悬浮重颗粒的稳态流动。与实验数据和其他精确模拟的比较表明，该新模型可用于预测湍流悬浮流的特征。管道中的二次流显示出两相流的三层结构。