Numerical Study of Characteristics and Discharge Capacity of Piano Key Weir

HU Han; YANG Wei; HOU Dong-mei

doi:10.11988/ckyyb.20171116

PDF(2143 KB)

Journal of Changjiang River Scientific Research Institute ›› 2019, Vol. 36 ›› Issue (4) : 60-66. DOI: 10.11988/ckyyb.20171116

HYDRAULICS

Numerical Study of Characteristics and Discharge Capacity of Piano Key Weir

HU Han, YANG Wei, HOU Dong-mei

Author information +

History +

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.

Key words

piano key weir / hydraulic characteristics / numerical simulation / VOF model / orthogonal numerical experiment / discharge efficiency / geometric parameters / discharge calculation formula

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

HU Han, YANG Wei, HOU Dong-mei. Numerical Study of Characteristics and Discharge Capacity of Piano Key Weir[J]. Journal of Changjiang River Scientific Research Institute. 2019, 36(4): 60-66 https://doi.org/10.11988/ckyyb.20171116

References

[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] LEMPRIRE 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.