弧底梯形渠道收缩水深计算方法的简化  

Simplified Algorithm for Calculating Water Depth at Vena Contraction in the Open Channel with Arc-bed Trapezoidal Section

作　　者：滕凯 张丽伟 

机构地区：[1]齐齐哈尔市水务局,黑龙江齐齐哈尔161006 [2]齐齐哈尔市河道管理处,黑龙江齐齐哈尔161006

出　　处：《华北水利水电学院学报》2013年第3期55-58,共4页North China Institute of Water Conservancy and Hydroelectric Power

摘　　要：弧底梯形断面明渠收缩水深的计算需完成超越方程求解,针对传统算法(图解法、试算法)存在的计算过程繁琐、成果精度不高等问题,对弧底梯形断面明渠收缩水深基本计算方程变形、整理后的超越函数进行优化拟合替代,以最小标准剩余差为目标函数,在工程适用的参数范围内,经逐次逼近拟合分析及计算得到了表达形式简单、求解精度较高的近似公式.利用该公式计算弧底梯形断面明渠收缩水深,明显提高了工作效率,进一步提高了计算精度.The calculation of water depth at vena contraction in the open channel with arc-bed trapezoidal cross section is to solve the transcendental equation. Aiming at some problems of traditional algorithms （graphic algorithm and try algorithm） such as the calcula-tion process is tedious, and the accuracy of results is not high, and so on, the simple and more accurate approximation formula is ob- tained for calculating water depth at vena contraction in the open channel with arc-bed trapezoidal section by which the transcendental function derived from transforming the basic equation is optimized, fitted and replaced, and then successive approximation fitting and calculation is conducted within the scope of engineering applicable parameters taking the minimum standard residual difference as the objective function. The application of the simplified formula can improve efficiency obviously and precision further.

关 键 词：弧底梯形断面 收缩水深 优化拟合 近似计算 

分 类 号：TV131.4[水利工程—水力学及河流动力学]