为了探究琴键堰水力特性,采用VOF模型模拟了琴键堰运行时的三维流场,采用Lempérière的试验结果验证了VOF模型数值模拟方法的可靠性。通过不同几何结构的琴键堰进行的正交数值试验,确定了影响琴键堰泄流效率的主要几何参数;并针对这些几何参数,进行了数值仿真计算和理论分析,推导了琴键堰的新流量计算公式,经验证,该公式最大相对误差为6.7%,平均相对误差为3.7%。研究成果可为琴键堰的设计和工程应用提供可靠理论依据。
Abstract
The three-dimensional flow fields in a piano key weir were simulated using the volume-of-fluid (VOF) model, and the reliability of VOF model result was verified according to Lempérière’s test result. An orthogonal numerical test revealed major geometric parameters that affect the discharge efficiency of piano key weir. Numerical simulations and theoretical analysis were conducted to analyse the effects of these geometric parameters. New formula for the discharge of piano key weir was then derived and verified. The maximum relative error of the proposed formula is 6.7%, and the mean relative error 3.7%. The proposed formula improves the accuracy of the design and structural optimization of piano key weir.
关键词
琴键堰 /
水力特性 /
数值模拟 /
VOF模型 /
正交数值试验 /
泄流效率 /
几何参数 /
泄流计算公式
Key words
piano key weir /
hydraulic characteristics /
numerical simulation /
VOF model /
orthogonal numerical experiment /
discharge efficiency /
geometric parameters /
discharge calculation formula
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参考文献
[1] LEMPRIRE F, OUAMANE A. The Piano Keys Weir: A New Cost-Effective Solution for Spillways. Hydropower & Dams, 2003, 10(5): 144-149.
[2] LAUGIER F. Design and Construction of the First Piano Key Weir Spillway at the Goulours Dam. Hydropower & Dams, 2007,14(5): 94-101.
[3] LAUGIER F, LOCHU A, GILLE C,et al. Design and Construction of a Labyrinth PKW Spillway at Saint-Marc Dam. Hydropower & Dams, 2009,16(5): 100-107.
[4] LAUGIER F,VERMEULEN J, PRALONG J. Achievement of New Innovative Labyrinth Piano Key Weir Spillways (PKW)∥Indian Water Resources Society.Proceedings of Piano Key Weir for in-Stream Storage and Dam Safety,New Delhi, India,May 30-June 1, 2012:25-42.
[5] MACHIELS O, ERPICUM S, DEWALS B,et al. Experimental Observation of Flow Characteristics over a Piano Key Weir. Journal of Hydraulic Research, 2011,49(3): 359-366.
[6] MARCELO L R, MICHAEL P, ANTON J S,et al. Hydraulic Design of A-type Piano Key Weirs. Journal of Hydraulic Research, 2012,50(4): 400-408.
[7] KARAEREN D, BOZKUS Z. Comparison of Performance of Labyrinth and Piano Key Weirs in Increasing the Spillway Capacity of Dams∥Proceedings of ICOCEE-CAPPADOCIA,Nevsehir, Turkey, May 20-23, 2015: 1-10.
[8] ANDERSON R M, TULLIS B P. Influence of Piano Key Weir Geometry on Discharge∥Proceedings of Labyrinth and Piano Key Weirs: PKW 2011, Liege, Belgium, February 9-11, 2011.
[9] 耿运生,孙双科. 一种新型的迷宫堰布置型式——P.K堰. 南水北调与水利科技, 2006,(8): 57-59.
[10] 郭新蕾, 杨开林, 夏庆福,等. 琴键堰泄流能力特性分析. 水利学报, 2014,45(5): 867-882.
[11] 李国栋, 苗 洲, 高 蓓, 等. 琴键堰不同溢流前缘泄流特性的数值模拟研究. 水力发电学报, 2015,34(8): 77-84.
[12] LEITE RIBEIRO M, PFISTER M, BOILLAT J L, et al.Piano Key Weirs as Efficient Spillway Structure∥International Commission on Large Dams,Proceedings of the 24th Congress of CIGB-ICOLD, Tokyo, Japan,June 2-8, 2012: 176-186.
[13] ABDORREZA K, AMIR J. Discharge Coefficient for Free and Submerged Flow over Piano Key Weirs.Journal of Hydraulic Research,2012,50(1): 114-120.
[14] MACHIELS O,PIROTTON M,PIERRE A,et al. Experimental Parametric Study and Design of Piano Key Weirs.Journal of Hydraulic Research,2014,52(3): 326-335.
[15] LEMPRIRE F, VIGNY J P, OUAMANE A. General Comments on Labyrinths and Piano Key Weirs: the Past and Present∥Proceedings of Labyrinth and Piano Key Weirs: PKW 2011, Liege, Belgium, February 9-11, 2011.
[16] BOUSSINESQ J. Essai sur lar Théorie des Eaux Courantes. Paris: Imprimerie Nationale, 1877.
基金
国家自然科学基金项目(51709014);国家重点研发计划项目(2016YFC0401904);中央级公益性科研院所基本科研业务费专项(CKSF2017011/SL,CKSF2017055/SL)
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