Stilling basin with abrupt expansion has been commonly applied to hydro-junction of multi-outlet sluice and pump combined with sluice structure. The calculation of sequent water depth is an inevitable problem to be faced with. Due to the complexity of hydraulic jump in abruptly expanding stilling basin, theoretical study of sequent depth is not yet mature and perfect. According to the test data in some articles, the calculation results of sequent depth obtained in some previous researches are compared and analyzed in quantitative terms. Results suggest that the calculated sequent depth is consistent with the actual situation when pressure head is equal to the mean value of upstream supercritical flow depth and sequent depth. Furthermore, a new method for calculating sequent depth is put forward by giving the calculation formula of circumfluent resistance coefficient based on the model of circumfluent resistance. The correctness and availability of the proposed method is also verified.
Key words
abruptly expanding hydraulic jump /
side wall reaction forces /
sequent depth /
water head /
circumfluent resistance coefficient
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References
[1] RAJARATNAM N, SUBRAMANYA K. Hydraulic Jumps below Abrupt Symmetrical Expansions[J]. Journal of the Hydraulics Division, 1968, 94(2): 481-504.
[2] BREMEN R, HANGER W H. T-jump in Abruptly Expanding 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] 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] 汪 涛,黄 欣,方 政.跌扩型底流消能工共轭水深计算研究[J]. 水利科技与经济,2012,18 (2):22-24.
[6] Μ·Д.切尔托乌索夫.水力学专门教程[M].沈清濂译.北京:高等教育出版社,1958.
[7] 郑铁钢,戴会超,丁全林.不同突扩比下空间淹没水跃的水力计算[J].排灌机械工程学报,2012,30(6):670-676.
[8] HASAN R, MATIN 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.
[9] HAGER W H. Hydraulic Jump in Non-prismatic Rectangular Channels[J]. Journal of Hydraulic Research, 1985, 23(1): 21-35.
[10] 卢士强,邹志业,程胜依.突然扩散水跃共轭水深研究[C]∥第十六届全国水动力学研讨会论文集.北京:海洋出版社,2002.
[11] 郭子中.消能防冲原理与水力设计[M].北京:科学出版社,1982.
[12] 张志昌.水力学(下册)[M].北京:中国水利水电出版社, 2011.
[13] RAJARATNAM N. The Hydraulic Jump As a Wall Jet [J]. Journal of Hydraulics Division,1965,91(5):107-132.
[14] 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.