水力发电学报2013，Vol.32Issue(1)：126-131,6.
抛物线类渠道断面收缩水深的计算通式
General explicit equations for calculation of contracted flow depths in channels of parabolic cross-sections
摘要
Abstract
To obtain general explicit equations for contracted flow depth in the channel of parabolic cross-section , this paper puts forward for the first time a concept of incremental method of baseline function that can be used to obtain the equation parameters. By identical transformation of the governing equations for contracted depth, we developed iterative formulae of simple form and fast convergence. Then, explicit equations of n-th-order were derived for direct calculation of contracted depths for parabolic cross sections, through numerical calculation for establishing a relationship of dimensionless contracted depth versus a comprehensive parameter that represents the given quantities. The initial value of iterative solution to the equations can be obtained by using the incremental method and the iteration theory. Calculation of a practical case and error analysis of the depth calculations show that in the common range of a α∈(0 ,0. 5 ] , the relative error is less than 0. 52% for n ∈ [ 1 ,5 ] and less than 0. 85 % for n ∈ [ 1 ,00 ] . The proposed simple equations are very accurate and general for practical design of channel.关键词
水力学/收缩水深/基线函数增量法/抛物线型断面Key words
hydraulics/ contracted depth/ incremental method of baseline function/ parabolic cross-sections分类
建筑与水利引用本文复制引用
赵延风,王正中,刘计良..抛物线类渠道断面收缩水深的计算通式[J].水力发电学报,2013,32(1):126-131,6.基金项目
陕西省农业科技创新项目(2011NXC01-20) （2011NXC01-20）
