排灌机械工程学报2011，Vol.29Issue(6)：523-528,6.DOI:10.3969/j.issn.1674-8530.2011.06.013
排灌输水隧洞正常水深的简捷算法
Simple calculation method for normal depth of a kind of water supply tunnel for irrigation and drainage
摘要
Abstract
In order to obtain an explicit formula for normal depth of standard city-gate section, first, the identical transformation of the governing equation for normal depth of standard city-gate section was made,including the transcendental equation for normal depth in the bottom corner arc and the top arc, and the higher-degree equation for normal depth in the lateral side. The single variable equation was obtained for dimensionless normal depth and the comprehensive parameter of the known quantities. Second, the concept of quasi-linear function was introduced and treated as the standard template. The standard template for quasi-linear function was applied to the single variable equation for normal depth. Using optimization and approximation to quasi-linear function, the estimation substitution formula for the transcendental equation and higher-degree equation was developed in the practical range of y e [0.05,1.80] ,and the substitution formula has the same form as the linear function,I. E. ,the quasi-linear explicit expression for normal depth. Finally, error analysis of the formula was made. The result indicates that the maximum relative errors of the formula for normal depth are less than 0. 36% , 0. 31 % ,and 0. 39% in the bottom arc,the lateral side,and the top arc,respectively. The relative errorsindicate that the quasi-linear equation has high accuracy in the practical range, which can provide simple method for computing the normal depth of the uniform flow in the design of water supply tunnel for drainage and irrigation and controlling the water level.关键词
排灌输水隧洞/标准城门洞/正常水深/准线性函数/函数逼近Key words
water supply tunnel for irrigation and drainage/ standard city-gate cross section/ normal depth/ quasi-linear function/ function approximation分类
农业科技引用本文复制引用
赵延风,王正中,方兴,刘计良,洪安宇..排灌输水隧洞正常水深的简捷算法[J].排灌机械工程学报,2011,29(6):523-528,6.基金项目
国家863计划项目(2002 AA62Z3191) （2002 AA62Z3191）
陕西省农业科技创新项目(2011NXC01-20) （2011NXC01-20）
