基于两相紊流模型的非平衡输沙研究

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A two-phase numerical model for non-equilibrium sediment transport

State Key Laboratory of Hydro-science and Engineering, Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China

摘要: 基于雷诺平均的水沙两相流方程, 建立了一个非平衡全沙输移二维数学模型. 模型考虑相间相对运动以及多颗粒之间的相互影响, 通过相间作用力进行两相耦合.和传统的单相流模型以及低浓度两相流模型相比, 该模型摆脱了依赖经验公式给定床面边界条件的局限性. 针对明渠净冲刷问题, 在合理给定水相和泥沙相边界条件的前提下计算了泥沙浓度分布的沿程变化, 并利用物理模型实验的结果和理论解验证了数学模型的正确性,同时也分析了明渠净冲刷问题中紊动扩散和重力沉降现象的特征.
- 数学模型
Abstract: A numerical model for non-equilibrium sediment transportis developed based on Reynolds averaged two-phase flow equations. Differentfrom most of the previous models, the present one does not require anempirical formula to deal with the pick-up and settling of sediment over thebed. The model includes the interactions between particles, and betweenfluid and particles. The two-phases are coupled through the interphaseforces. The model is employed to predict the longitudinal variation of thesediment concentration profile over an eroding bed under a steady uniformflow. Computational results agree reasonably well with the availableexperimental data and are evidently more accurate than the analyticalsolution. The relevant turbulent diffusion and gravity settling are alsodiscussed.
- Numerical model