典型无压长隧洞恒定渐变流水面线计算的新解析法  

A New Analytical Method of Caculating Water Surface Profile of Gradually Varied Steady Flow for Typical Long Tunnels Without Pressure

作　　者：王贺瑶 黄朝煊 

机构地区：[1]浙江省宁波市宁海县水利局,浙江宁波315600 [2]浙江省水利水电勘测设计院,浙江杭州310002

出　　处：《水利与建筑工程学报》2015年第3期77-81,187,共6页Journal of Water Resources and Architectural Engineering

基　　金：水利部公益性行业科研专项项目(201401010);围垦院软基水闸创新团队科标业项目

摘　　要：针对现有水面线计算采用的逐段试算法计算较繁琐等问题,对典型无压长隧洞如城门洞形、卵形无压隧洞恒定渐变流沿程水深的计算进行了数学推导。根据渐变流水力微分方程,利用数值计算理论及无量纲化原理,将恒定渐变流基本微分方程转换为高精度的可解析积分函数形式,进而得到典型无压长隧洞水面线计算得解析式,利用该解析式可直接算得沿程水深。该解析算法比《水工隧洞设计规范》建议的逐段试算法更简捷,并通过工程算例分析,该新解析法成果精度可靠,方便快捷,完全满足工程实践要求。The existing analytical method for calculating water surface profile adopts section by section trial calculation which is tedious and inconvenient .Here the gradually varied steady flow depth of the typical long non-pressure tunnels with horseshoe-shaped cross-section and oval cross-section was mathematically deduced ,and then its basic differential e-quation was transformed into an analytical integral function with high-precision based on the numerical analysis theory and dimensionless principle ,from which the analytical formula for calculating water surface profile of gradually varied steady flow for typical long non-pressure tunnels was obtained .The water depth can be calculated directly according to this for-mula and it’s more convenient and simple than the recommended method in the specification for design of hydraulic tun-nel .According to the analysis of its application in an actual construction project ,this method is more convenient and simple ,and it can provide more accurate and reliable results that meet the requirements of the construction .

关 键 词：恒定渐变流 城门洞形断面 卵形断面 断面水力要素 

分 类 号：TV133.1[水利工程—水力学及河流动力学]