琴键堰水力特性数值模拟

Numerical Study of Characteristics and Discharge Capacity of Piano Key Weir

为了探究琴键堰水力特性,采用VOF模型模拟了琴键堰运行时的三维流场,采用Lempérière的试验结果验证了VOF模型数值模拟方法的可靠性。通过不同几何结构的琴键堰进行的正交数值试验,确定了影响琴键堰泄流效率的主要几何参数;并针对这些几何参数,进行了数值仿真计算和理论分析,推导了琴键堰的新流量计算公式,经验证,该公式最大相对误差为6.7%,平均相对误差为3.7%。研究成果可为琴键堰的设计和工程应用提供可靠理论依据。

The three-dimensional flow fields in a piano key weir were simulated using the volume-of-fluid (VOF) model, and the reliability of VOF model result was verified according to Lempérière's test result. An orthogonal numerical test revealed major geometric parameters that affect the discharge efficiency of piano key weir. Numerical simulations and theoretical analysis were conducted to analyse the effects of these geometric parameters. New formula for the discharge of piano key weir was then derived and verified. The maximum relative error of the proposed formula is 6.7%, and the mean relative error 3.7%. The proposed formula improves the accuracy of the design and structural optimization of piano key weir.