为研究标准Ⅰ型马蹄形断面正常水深、弗劳德数和收缩断面水深的计算方法,根据明渠均匀流理论、明渠恒定非均匀流理论和能量方程,分析了标准Ⅰ型马蹄形断面的水力特性,提出了3种工况下的正常水深与流量关系、弗劳德数,以及2种工况下收缩断面水深的迭代计算公式,并通过算例给出了解题过程。研究成果计算简单、精度高,可以应用于实际工程。
The present study aims to research the calculation method of normal water depth,Froude number and contracted section’s water depth in standardⅠ-type horseshoe cross section. On the basis of the theories of uniform flow and non-uniform flow in open channel and the energy equation,hydraulic characteristics of standardⅠ-type horseshoe cross section are analyzed. Iterative calculation formulas of the relationship between normal water depth and flow,Froude number under three conditions and water depth of contracted section under two conditions are put forward. The calculating process is illustrated by examples. The calculation method is simple and convenient with high precision,hence can be applied to engineering practice.
[1] 林继镛. 水工建筑物(第四版)[M]. 北京:中国水利水电出版社,2007:402-412.(LIN Ji-yong. Hydraulic Structure (The Fourth Edition)[M].Beijing: China Water Power Press,2007:402-412.(in Chinese))
[2] 武汉水利电力学院水力学教研室. 水力计算手册[M]. 北京:水利电力出版社,1983:390-409.(Teaching and Researching Office of Hydraulics in Wuhan University of Hydraulic and Electrical Engineering. Handbook of Hydraulic Calculation[M]. Beijing: Water Resources and Electric Power Press,1983:390-409.(in Chinese))
[3] 李永刚. 马蹄形隧洞水力计算迭代法[J]. 人民黄河,1955,(11):42-44.(LI Yong-gang. Iterative Method of Hydraulic Calculation on Horseshoe Section Tunnel[J]. Yellow River,1955,(11):42-44.(in Chinese))
[4] 谭新莉. 马蹄形断面水力学计算[J]. 新疆水利,2003,(2):20-23.(TAN Xin-li. Hydraulic Calculation on Horseshoe Shaped Section[J]. Xinjiang Water Resources,2003,(2):20-23.(in Chinese))
[5] 张润生,刘学文,彭月琴. 马蹄形断面隧洞各水力要素的求解[J]. 山西水利科技,1994,(4):44-47.(ZHANG Run-sheng,LIU Xue-wen,PENG Yue-qin. Solution of Hydraulic Element of Horseshoe Section Tunnel [J]. Shanxi Hydrotechnics,1994,(4):44-47.(in Chinese))
[6] 腾 凯,刘继忠,李松岩,等. 马蹄形过水断面均匀流水深的简化计算法[J]. 人民黄河,1997,(1):36-38.(TENG Kai,LIU Ji-zhong,LI Song-yan,et al. Simplified Calculation Method of Uniform Flow Depth of the Horseshoe Cross Section[J].Yellow River,1997,(1):36-38.(in Chinese))
[7] 吕宏兴,辛全才,花立峰. 马蹄形过水断面正常水深的迭代计算[J]. 长江科学院院报,2001,18(3):7-10.(LV Hong-xing,XIN Quan-cai,HUA Li-feng. Calculation on Normal Depth of Horseshoe Cross Section by Iterative Method[J]. Journal of Yangtze River Scientific Research Institute,2001,18(3):7-10.(in Chinese))
[8] 赵延风,王正中,芦 琴. 马蹄形断面正常水深的直接计算公式[J].水力发电学报,2012,31(1):173-177.(ZHAO Yan-feng,WANG Zheng-zhong,LU Qin. Direct Calculation Formulas for Normal Depth of Horseshoe Section[J]. Journal of Hydroelectric engineering,2012,31(1):173-177.(in Chinese))
[9] LIU Ji-liang,WANG Zheng-zhong,FANG Xing,et al. Iterative Formulas and Estimation Formulas for Computing Normal Depth of Horseshoe Cross-Section Tunnel[J]. Journal of Irrigation and Drainage Engineering,2010,136(11): 786-790.
[10]张志昌. 水力学(下册)[M]. 北京:中国水利水电出版社,2011:69-90.(ZHANG Zhi-chang. Hydraulics(The Second Volume)[M]. Beijing: China Water Power Press,2011:69-90.(in Chinese))
[11]清华大学.水力学(修订本)上册[M].北京:高等教育出版社,1980.(Tsinghua University. Hydraulics(Revised Edition)[M]. Beijing: Higher Education Press,1980.(in Chinese))
[12]李建中,宁利中. 高速水力学[M]. 西安:西北工业大学出版社,1994:196-201.(LI Jian-zhong,NING Li-zhong. High Speed Hydraulics[M]. Xi’an: Northwestern Polytechnic University Press,1994:196-201.(in Chinese))