摘要
六圆弧蛋形断面共轭水深计算公式分段,且为复杂的超越方程,无法直接获解。通过对该种断面水跃共轭水深函数的进一步整理,获得了用无量纲面积倒数及无量纲静水压力表示的无量纲水跃函数,采用优化拟合方法分别对无量纲面积倒数及无量纲静水压力函数进行拟合替代,获得了可直接完成跃前及跃后断面水深计算的简化计算通式,计算过程简捷,方法直观,在工程适用参数范围内,最大计算误差小于0.8%。
Conjugate water depth formula of six-arc egg-shaped cross section is segmented and transcendental, it is diffi- cult to calculate directly. Through further calculation of hydraulic jump conjugate depth function of this kind of cross sec- tion, dimensionless function of hydraulic jump was obtained, which was represented by the reciprocal of dimensionless area and dimensionless hydrostatic pressure. And then, an optimization fitting method was adopted to fit the reciprocal of dimensionless area and dimensionless hydrostatic pressure, through which the simplified calculation formula that could di- rectly calculate the conjugate water depth before and after the hydraulic jump was established. This formula is simple and intuitive with a maximum error less than 0. 8 % in its parameter range of engineering applications.
出处
《水利与建筑工程学报》
2015年第4期151-154,182,共5页
Journal of Water Resources and Architectural Engineering
关键词
六圆弧蛋形断面
共轭水深计算
优化拟合
简化算法
six-arc egg-shaped cross section
conjugate depth calculation
optimization fitting
simplified algorithm
作者简介
雷加欣（1968-），男，黑龙江宾县人，硕士，高级工程师，主要从事防灾减灾及工程优化设计研究。E-mail：leijiaxin@126．com
通讯作者：滕凯（1957-），男，黑龙江齐齐哈尔人，高级工程师，主要从事水利防灾减灾及工程优化设计研究。E-mail：tengkan007@163.com
