长江科学院院报 ›› 2015, Vol. 32 ›› Issue (10): 47-52.DOI: 10.11988/ckyyb.20140199

• 水力学 • 上一篇    下一篇

X型宽尾墩水跃方程的计算方法

代述兵1,刘韩生1,简跃2,杨吉健1,卞晓卫3   

  1. 1.西北农林科技大学 水利与建筑工程学院,陕西 杨凌 712100;2.云南建工水利水电建设有限公司,
    昆明 650000;
    3.中国水电顾问集团 贵阳勘测设计研究院,贵阳 550002
  • 收稿日期:2014-03-18 出版日期:2015-10-20 发布日期:2015-10-15
  • 通讯作者: 刘韩生(1962-),男,陕西韩城人,教授,博士,主要从事水工建筑物与高速水流研究,(电话)13319231569(电子信箱)hanshengliu@126.com。
  • 作者简介:代述兵(1990-),男,四川安岳人,硕士研究生,主要从事水工建筑物与高速水流研究,(电话)15109217838 (电子信箱)daishubing1990@163.com 。

Method of Calculating the Hydraulic Jump Equation of X-shape Flaring Gate Pier

DAI Shu-bing1,LIU Han-sheng1,JIAN Yue2,YANG Ji-jian1,BIAN Xiao-wei3   

  1. 1.College of Water Resources and Architectural Engineering, Northwest A & F University, Yangling 712100, China;
    2.Yunnan Jiangong Water Resource and Hydroelectric Construction Co., Ltd., Kunming 650000, China;
    3.Power China Guiyang Engineering Corporation Limited, Guiyang 550002, China
  • Received:2014-03-18 Online:2015-10-20 Published:2015-10-15

摘要: 由于X型宽尾墩的特殊性,将X型宽尾墩缺口内与缺口以上水流分为2股,并利用动量方程推导得到X型宽尾墩的水跃方程,并将其进行等价数学变换简化计算得到共轭水深比η,而后可得到跃后水深。以索风营、沙陀工程不同工况为例,计算出相应参数,代入简化水跃方程并计算出了共轭水深比η,最后计算得到的跃后水深,并与试验值进行误差分析,结果表明最大相对误差仅为-5.11%。该公式推导正确,理论可靠,计算便捷,首次从理论上提出了一套X型宽尾墩的水力计算方法,为工程设计和科学研究提供理论支撑。

关键词: X型宽尾墩, 水跃方程, 水力计算, 共轭水深比, 索风营水电站

Abstract: A set of theoretic hydraulic calculation method for X-shape flaring gate is presented for the first time to provide theoretical support for engineering design and scientific research. The water of X-shape flaring gate is divided into two parts: the water in the notch and the water above the notch. Through momentum equation, the hydraulic jump equation is derived and is converted mathematically in equivalence and simplified to get the conjugate depth ratio η, and then the depth after the jump is obtained. As an illustration, the measured data of Suofengying project and Shatuo project are taken to calculate corresponding parameters, which are subsequently put into the simplified water jump equation to calculate the conjugate depth ratio η. Finally, the maximum relative error between the calculated water depth after the jump and the test value is only -5.11%, indicating that the equation is convenient and is derived correctly and reliably.

Key words: X-shape flaring gate pier, hydraulic jump equation, hydraulic calculation, conjugate water depth ratio, Suofengying hydropower station

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