水利水电科技进展2012,Vol.32Issue(6):15-17,3.DOI:10.3880/j.issn.1006-7647.2012.06.004
再论圆管明渠均匀流正常水深的直接计算公式
Further study on explicit formula for normal water depth of uniform flows in circular pipes
摘要
Abstract
Based on the summarization of the existing formulae for normal depth of uniform flows in circular tube open channels, the dimensionless parameter a and the dimensionless normal depth p are introduced to perform mathematical transformation of the basic equation for uniform flows in circular tube open channels. A new explicit formula for the normal water depth of the uniform flows in circular tube open channels is proposed by means of the curve fitting and optimization principles. According to the requirements of Structural design code for special structures of water supply and waste water engineering and Design specification for hydraulic engineering, the scope of project application for the proposed formula is determined considering the specific situations of projects. The error analysis and case studies indicate that the proposed explicit formula has advantages of concise form and high precision. The maximum relative error is less than 0.72% , and it is convenient for designers to directly use it.关键词
圆管/明渠/均匀流/正常水深/圆形断面/超越函数方程Key words
circular tube/open channel/uniform flow/normal water depth/circular section/transcendental function equation分类
建筑与水利引用本文复制引用
文辉,李风玲..再论圆管明渠均匀流正常水深的直接计算公式[J].水利水电科技进展,2012,32(6):15-17,3.基金项目
惠州学院引进教授、博士科研启动基金(C510.0211) (C510.0211)