突扩式水跃跃长的计算公式推导与验证
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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%。
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%. Among48 working conditions of five patterns,the relative errors of only five conditions exceed 10%,with the maximum value of-12.5%.
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%. Among48 working conditions of five patterns,the relative errors of only five conditions exceed 10%,with the maximum value of-12.5%.
引文
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[4]HASAN M R,MATIN M A.Experimental Study for Sequent Depth Ratio of Hydraulic Jump in Horizontal Expanding Channel[J].Journal of Civil Engineering(IEB),2009,37(1):1-9.
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[8]吴宇峰,伍超,刘小兵.渐扩散水跃跃长的研究[J].水科学进展,2007,18(2):210-215.
[2]BREMEN R,HANGER W H.T-jump in Abruptly Expending Channel[J].Journal of Hydraulic Research,1993,31(1):61-78.
[3]ZARE H K,BADDOUR R E.Three-dimensional Study of Spatial Submerged Hydraulic Jump[J].Canadian Journal of Civil Engineering,2007,34(9):1140-1148.
[4]HASAN M R,MATIN M A.Experimental Study for Sequent Depth Ratio of Hydraulic Jump in Horizontal Expanding Channel[J].Journal of Civil Engineering(IEB),2009,37(1):1-9.
[5]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.
[6]HAGER W H.Hydraulic Jump in Non-prismatic Rectangular Channels[J].Journal of Hydraulic Research,1985,23(1):21-35.
[7]詹明安,周建国,黄文政.关于水跃跃长的计算[J].人民长江,1990,(3):18-21.
[8]吴宇峰,伍超,刘小兵.渐扩散水跃跃长的研究[J].水科学进展,2007,18(2):210-215.