通过能量方程研究R型突扩水跃局部水头损失系数,完善水跃跃后水深计算的理论方法,为消力池跃后水深的计算提供新的思路。通过建立消力池出口扩散断面和跃后断面的能量方程,分析R型突扩水跃局部水头损失系数和水跃水深比的变化规律。结果发现:R型水跃相对局部水头损失系数是突然扩散断面弗劳德数和消力池突扩比的函数;相对局部水头损失系数既服从线性分布,又服从乘幂分布;水跃水深比是跃前断面弗劳德数和消力池突扩比的函数。提出了局部水头损失系数和水跃水深比的计算公式,并分别对其进行了验证。
Abstract
A method of calculating the local head loss coefficient of R-type hydraulic jump via energy equation is provided to improve the theoretical calculation of sequent depth of hydraulic jump. The energy equations for the outlet’s abruptly expanding section and the subcritical flow section are established to analyze the change law of local head loss coefficient and conjugate depth ratio of R-jump in an abruptly expanding stilling basin. Result shows that relative local head loss coefficient is the function of the Froude number of outlet’s abruptly expanding section and the abruptly expanding ratio of stilling basin. The local head loss coefficient conforms to linear distribution and exponentiation distribution. Moreover, conjugate depth ratio is the function of the Froude number of outlet’s abruptly expanding section and the abruptly expanding ratio. The calculation equations for the local head loss coefficient and the conjugate depth ratio are proposed and verified.
关键词
R型突扩水跃 /
能量方程 /
局部水头损失系数 /
跃后水深 /
突扩比 /
水跃水深比
Key words
R-jump in abruptly expanding stilling basin /
energy equation /
local head loss coefficient /
sequent depth /
abruptly expanding ratio /
conjugate depth ratio
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] RAJARATNAM N, SUBRAMANYA K. Hydraulic Jumps below Abrupt Symmetrical Expansions[J].Journal of the Hydraulics Division,1968, 94(2): 481-504.
[2] ZARE H K, BADDOUR R E. Three-dimensional Study of Spatial Submerged Hydraulic Jump[J]. Canadian Journal of Civil Engineering,2007, 34: 1140-1148.
[3] HAGER W H. Hydraulic Jump in Non-prismatic Rectangular Channels[J]. Journal of Hydraulic Research,1985, 37 (1): 21-35.
[4] 卢士强.两侧突然扩散水跃特性的试验研究[D].南京:河海大学,2000.
[5] REZAUL H, ABDUL M. Experimental Study for Sequent Depth Ratio of Hydraulic Jump in Horizontal Expanding Channel[J]. Journal of Civil Engineering (IEB), 2009, 37 (1): 1-9.
[6] 宁利中,渠亚伟,宁碧波,等.突然扩散水跃方程的显示解[J].水利水运工程学报,2018(5):24-29.
[7] 宁利中,渠亚伟,宁碧波,等.突然扩散水跃方程的改进与比较[J].raybet体育在线
院报,2019,36(8):81-85.
[8] 傅铭焕,郭曙啸,卢志男,等.突扩式水跃跃后水深的分析与计算[J].raybet体育在线
院报,2017,34(5):48-52.
[9] 傅铭焕,卢志男,惠祥明,等.突扩式水跃跃长的计算公式推导与验证[J].raybet体育在线
院报,2017,(4):48-51.
[10]KORDI E, ABUSTAN I. Transitional Expanding Hydraulic Jump[J]. Journal of Hydraulic Engineering, 2012, 138(1): 105-110.
[11]傅铭焕,侯 毅,陈炳斌,等.突扩式消力池T型水跃的流速分布与边界层发展[J].浙江水利水电学院学报,2018,30(3):17-21.
[12]张志昌,赵 莹.矩形明渠水跃段沿程和局部水头损失的计算[J].水力发电学报,2015,34(11):88-94.
[13]傅铭焕,梁 锋,郭曙啸,等.渐扩式水跃跃后水深的计算[J].人民黄河,2016,38(9):107-110.
[14]RAJARATNAM N. The Hydraulic Jump as a Wall Jet[J]. Journal of Hydraulics Division,1965,91(5):107-132.
[15]倪汉根,刘亚坤.击波 水跃 跌水 消能[M].大连:大连理工大学出版社,2008:134-192.
PDF(3567 KB)
