摘要
悬链线形渠道是输水工程中新兴的渠道断面形式,其正常水深是渠道设计、运行管理的重要水力要素,但其基本方程为超越方程,数学上无解析解。目前其正常水深计算仍然存在过程繁琐、误差较大和公式复杂等缺陷,在总结前人研究的基础上,根据悬链线形水力最优断面特点,结合工程实际应用情况,合理地确定了公式的适用范围。通过对悬链线形断面均匀流基本方程进行数学变换,对引入的无量纲参数与无量纲水深的关系进行分析和计算,应用曲线拟合和优化原理提出悬链线形渠道均匀流正常水深的线性计算公式,在工程常用范围内计算正常水深的最大相对误差小于0.583%。该线性计算公式形式简单、精度高、适用范围广。
The catenary-shaped channel is a new form for irrigation channels. The normal depth is important hydraulic element for channel design and operational management. At present the shortcomings in calculation formula of normal water depth of the catenary-shaped channel are complicated formula,cumbersome process and low efficiency. Summarizing the existing formulae for normal depth of uniform flows in catenary-shaped channel,by determining the range of the formula according to the optimal hydraulic cross section characteristics and engineering application,based on the mathematics transformation for the basis equation and then the relationship between the dimensionless normal water depth and the introduced dimensionless parameter was analyzed. We obtained a linear for normal water depth of uniform flows in catenary-shaped channel based on the curve fitting and optimization principles,its maximum relative error of normal water depth was 0. 583% in the utility range.The expression of linear function is simpler,higher accuracy and wider application.
出处
《人民黄河》
CAS
北大核心
2016年第12期141-143,148,共4页
Yellow River
基金
惠州学院引进教授
博士科研启动基金资助项目(C510.0211)
惠州学院重点培育学科项目(ZDPYXK1404)
关键词
渠道
悬链线形断面
正常水深
计算公式
channels
catenary-shaped section
normal water depth
formula
