水力发电学报2012，Vol.31Issue(3)：114-118,5.
弧底梯形明渠临界水深的直接计算公式
Direct calculation formula for critical depth of rounded-bottom trapezoidal open channels
摘要
Abstract
If the bottom of a trapezoidal cross section is rounded tangent to each of its two sloping edges,then analytical solution of critical depth is impossible to be derived from the governing equation of transcendental high degree.To overcome this difficulty in the present work,a demarcating flow discharge is introduced first to determine the location of water surface and an iterative formula for dimensionless water depth,and water surface width is derived through mathematical transformation of the governing equation for critical depth and by iteration theory.Then,a formula for direct calculation of critical depth is developed for the rounded-bottom channels.It is simple for engineers to use and of high accuracy.Error analysis in case studies indicates that in the full range of water depth,its maximum relative error is less than 0.12%.关键词
水力学/直接计算公式/迭代理论/临界水深/弧底梯形/分界流量Key words
hydraulics/direct calculating formula/iteration theory/critical depth/rounded-bottom trapezoidal cross section/demarcating flow discharge分类
建筑与水利引用本文复制引用
赵延风,王正中,刘计良..弧底梯形明渠临界水深的直接计算公式[J].水力发电学报,2012,31(3):114-118,5.基金项目
国家“863”高技术研究与发展计划项目 （）
陕西省农业科技创新项目 （）
