院报 ›› 2017, Vol. 34 ›› Issue (4): 48-51.DOI: 10.11988/ckyyb.20160088

• 水力学 • 上一篇    下一篇

突扩式水跃跃长的计算公式推导与验证

傅铭焕,卢志男,惠祥明,郑 艳,孙培学   

  1. 浙江省水利水电勘测设计院,杭州 310002
  • 收稿日期:2016-01-27 出版日期:2017-04-01 发布日期:2017-04-10
  • 作者简介:傅铭焕(1989-),男,浙江杭州人,硕士,主要从事水工水力学方面的研究,(电话)0571-87925193(电子信箱)fuminghuan2007@163.com。

Deduction and Verification of the Calculation Foumula for Lengthof Abruptly Expanding Hydraulic Jump

FU Ming-huan,LU Zhi-nan, HUI Xiang-ming, ZHENG Yan, SUN Pei-xue   

  1. Design Institute of Water Conservancy and Hydro-electric Power, Hangzhou 310002,China
  • Received:2016-01-27 Online:2017-04-01 Published:2017-04-10

摘要: 水跃长度为突扩式消力池设计的重要参数,对消力池安全稳定以及经济合理的影响效果显著。通过建立水跃区水体质点的运动方程,研究突扩式消力池水跃跃长的变化规律。提出了突扩式水跃跃长的半理论公式,并用已有文献的实测数据对其进行验证。研究表明突扩式消力池水跃长度是跃前断面弗劳德数、跃前断面平均水深、水跃共轭水深比和消力池突扩比的函数,并随着跃前断面弗劳德数、跃前断面平均水深和水跃共轭水深比的增大而增大。结果显示,公式计算的突扩式水跃长度平均误差为4.32%,在5种体形共48组工况下只有5组工况的水跃长度相对误差>10%,且最大相对误差为-12.52%,其余工况下相对误差均<10%。

关键词: 突扩式消力池, 突扩比, 运动方程, 水跃跃长, 计算公式

Abstract: As an important parameter for the design of abruptly expanding stilling basin, length of hydraulic jump has remarkable effect on the safety, stability and economy of the stilling basin. The variation of length of hydraulic jump in abruptly expanding stilling basin was researched through establishing motion equations of flow particle in hydraulic jump zone. Furthermore, a half-theoretical formula for the hydraulic jump length was put forward and measured data from existed literatures was employed to verify the formula. Result shows that the length of hydraulic jump is the function of four parameters, namely upstream Froude number, upstream mean flow depth, conjugate water depth ratio and abrupt enlargement ratio. With the increase of the four parameters, the length of hydraulic jump increases. The mean error of length of hydraulic jump calculated by the proposed equation is 4.32%. Among 48 working conditions of five patterns, the relative errors of only five conditions exceed 10%, with the maximum value of -12.5%.

Key words: abruptly expanding stilling basin, abrupt enlargement ratio, motion equations, hydraulic jump length, calculation foumula

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