梯形明渠正常水深计算的迭代法  

Iteration method for calculation of normal depth in trapezoidal open channel

作　　者：刘庆国 

机构地区：[1]长沙市交通学院河海工程系

出　　处：《东北水利水电》1999年第4期26-27,共2页Water Resources & Hydropower of Northeast China

摘　　要：通过对明渠均匀流的基本公式进行恒等变形，推导出梯形明渠均匀流的无量纲公式及正常水深的迭代公式，证明了迭代过程的收敛性，并利用回归分析拟合迭代函数的近似表达式，求出迭代初值，经二次迭代计算，最大相对误差的绝对值均不超过０．１３１％。A dimensionless formula flow in trapezoidal open channel and an iteration formula for normal depth of flow are deduced through making an identical deformation of basic formula for uniform flow in open channel. The astringency of iteration process is proved. Using regression analysis, an approximate expression of iteration function is fitted, and the initial value of iteration is calculated. The absolute value of maximum relative error not exceeds 0.131% after two times iterative calculation.

关 键 词：梯形明渠 正常水深 迭代法 明渠 水深 

分 类 号：TV133[水利工程—水力学及河流动力学]