复合梯形明渠均匀流正常水深的显式迭代求解  

Explicit Iterative Solution for Normal Water Depth with Uniform Flow in Compound Trapezoidal Open-Channel

作　　者：傅铭焕 陈炳斌 Fu Minghuan;Chen Bingbin(Zhejiang Design Institute of Water Conservancy and Hydroelectric Power,Hangzhou 310002,Zhejiang;Shaoxing Lie-chen Construction Co.Ltd.,Zhe Jiang,Shaoxing 312030,Zhejiang)

机构地区：[1]浙江省水利水电勘测设计院,浙江杭州310002 [2]绍兴烈辰建设有限公司,浙江绍兴312030

出　　处：《陕西水利》2021年第5期18-21,24,共5页Shaanxi Water Resources

摘　　要：研究复合梯形明渠均匀流正常水深的计算方法。根据别洛康和爱因斯坦关于复合梯形明渠糙率系数的计算公式,推求复合明渠均匀流正常水深的显式迭代公式。迭代公式仅需3~4次迭代计算就能获得满足工程运用的计算值。经4次迭代计算的正常水深计算误差小于1%,随着迭代次数的增加,计算误差进一步减小。故用别洛康和爱因斯坦公式计算复合梯形明渠正常水深是可行的。此正常水深迭代公式收敛速度较快,可供设计参考。The calculation method of normal water depth with uniform flow in compound trapezoidal open-channel is analyzed.The explicit iterative solution is studied of normal water depth based on the equation of composite roughness coefficient of Bellocian and Einstein.The iterative formula needs only 3~4 times of iterative calculation to obtain the calculation value which satisfies the engineering application.The calculation error decreases further with the increase of iteration times.It is feasible to calculate the normal water depth of the compound trapezoid open-channel by using the Bellocian and Einstein formulas.The iteration formula of normal water depth converges faster proposed by this paper,which can provide a reference for design.

关 键 词：复合梯形明渠 均匀流 正常水深 综合糙率系数 迭代计算 

分 类 号：TV135.21[水利工程—水力学及河流动力学]