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梯形渠道测控一体农闸水力性能数值模拟及试验研究

Numerical simulation and experimental study on hydraulic performance of trapezoidal channel measurement and control integrated agricultural sluice

  • 摘要: 为提高灌区末级渠系流量测控精度,该研究以梯形渠道分水口测控一体农闸为对象,探究其水力性能及影响因素。研究将模型试验与数值模拟结合,分析农闸不同来流量Q0、农闸开度e1及节制闸开度e2对应过流量Q1时的闸前后水面线、佛汝德数Fr、分流比R和流量系数μ1的变化规律。结果表明:农闸闸前水面波动幅度随开度的减小而减少、佛汝德数Fr1小于0.5,闸后产生水跃,流态整体平稳可控;分流比R与相对开度e1/H呈线性关系,过流能力随底坎高度P的增大而降低;3种糙率n、底坡i和边坡系数m条件下μ1e1/H均呈幂关系,R2大于0.97。基于因次分析法构建流量计算式并进行精度验证,R2均大于0.94,CP5%(误差绝对值小于5%的数据比例,Cumulative probability of relative errors within 5%)指标大于87%,满足量水设施精度要求,可用于灌区农闸过流能力的准确计算。研究可为灌区渠道闸门体型设计及设备应用提供参考。

     

    Abstract: Achieving precise flow measurement and control in the terminal canal networks of irrigation districts remained a persistent engineering challenge. This study examined the hydraulic performance of integrated measurement and control agricultural sluice gate installed at the trapezoidal channel diversion outlet. The overarching goal was to establish theoretical support for the geometric design and field operation of such sluices. By combining experimental measurements with numerical simulations, the research examined the factors influencing the water surface profile upstream and downstream of the regulating sluice, the variation law of Froude number Fr, the diversion ratio R, and the discharge coefficient μ1 of the agricultural diversion sluice under different gate openings e1 and e2. Steady-state flow was modeled using the Volume of Fluid (VOF) method. Four grid resolutions were tested for grid independence verification. The governing equations included the transport equation, continuity equation, Reynolds-averaged equations, turbulent kinetic energy equation, and dissipation rate equation. The equation system was discretized by the finite volume method and solved using a segregated implicit iterative approach.The channel dimensions and boundary conditions matched the experimental setup. Four evaluation metrics were selected to verify the simulation accuracy: maximum absolute relative error (MARE), mean absolute percentage error (MAPE), coefficient of determination (R2), and root mean square error (RMSE). Dimensional analysis based on the principle of dimensional homogeneity was employed to derive the basic overflow formula for agricultural sluices. Grid independence analysis demonstrated that refining the mesh to 1.5 cm or finer produced negligible variation in water depth at the monitoring point. Mesh quality exceeded 0.8 for all four resolutions. These results confirmed accurate grid generation and reliable simulation performance. Validation against experimental data yielded maximum absolute relative errors of 9.96% and 7.08% for discharge and upstream water depth, respectively. The corresponding mean absolute percentage errors were 3.91% and 1.64%. Coefficients of determination reached 0.986 and 0.985. Root mean square errors were 1.14 and 0.45.Water surface fluctuation upstream of the agricultural sluice gate decreased as the gate opening was reduced. The upstream Froude number remained below 0.5 under all hydraulic conditions. Enlarging the regulating sluice gate opening lowered the upstream water level, thereby weakening the backwater effect induced by the agricultural gate. An unstable hydraulic jump formed downstream. Both the height and longitudinal extent of this jump diminished as the regulating gate opening increased. Throughout the tested range, the overall flow regime remained stable and controllable.A positive linear relationship was observed between the relative opening e1/H and the diversion ratio R under different inflow rates Q0, which remained valid when varying the side slope coefficient m and sluice width b1. Increasing the weir height P reduced the flow capacity of the lateral channel, leading to a decrease in the diversion ratio R. Under different channel parameters, the discharge coefficient of the agricultural diversion sluice and the relative opening e1/H exhibited a power-function relationship, with R2 > 0.97 and a mean relative error below 5%. Nonlinear regression was applied to fit discharge prediction formulas for both free-flow and submerged-flow conditions, yielding R2 > 0.94. The proportion of predictions falling within ±5% of measured values exceeded 87%, confirming high predictive accuracy. Mean relative errors were consistently below 5%, satisfying the technical standards prescribed for flow measurement facilities in irrigation canals. Field verification of the gate discharge capacity in the terminal canals of the irrigation district confirmed that prediction errors remained within 5%. The agricultural diversion sluice design proposes in this study offers strong applicability, low cost, and ease of promotion, which reduces operational difficulties in practical irrigation. The arrangement of the agricultural sluice aligned with the channel wall can provide insights for the development of intelligent integrated measurement and control sluice equipment, and also provides reference for the design of channel sluice shapes and equipment applications in irrigation areas.

     

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