Relation Between Relative Energy Dissipation Ratio and Relative Froude Number of Stepped Spillway

YANG Ji-jian; LIU Han-sheng; DAI Shu-bing

doi:10.11988/ckyyb.20140269

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Journal of Changjiang River Scientific Research Institute ›› 2015, Vol. 32 ›› Issue (9) : 86-89. DOI: 10.11988/ckyyb.20140269

HYDRAULICS

Relation Between Relative Energy Dissipation Ratio and Relative Froude Number of Stepped Spillway

YANG Ji-jian, LIU Han-sheng, DAI Shu-bing

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Abstract

Stepped spillways have gained significant interest and popularity among researchers. Energy dissipation rate and Froude number are important hydraulic parameters. In this paper we introduce the concept of relative Froude number of stepped spillway which reflects the effect of step on the value of Froude number through comparing the Froude number of stepped spillway and the corresponding Froude number of smooth spillway. Through tests on stepped spillways (with different step heights 0.5m, 1.0m, 2.0m and chute angle 38.66°), we investigate the relation between relative Froude number and relative rate of energy dissipation. Results show that in non-uniform flow the relative Froude number is in linear relation with relative rate of energy dissipation, and the correlation coefficient is 0.9927-0.9989. Further study shows that the slope of the linear relation increases with the increase of unit width discharge, but the height of step has only slight effect on the slope of the linear relation between relative Froude number and relative ratio of energy dissipation.

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stepped spillway / relative energy dissipation ratio / relative Froude number / non-uniform flow / linear relation

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YANG Ji-jian, LIU Han-sheng, DAI Shu-bing. Relation Between Relative Energy Dissipation Ratio and Relative Froude Number of Stepped Spillway[J]. Journal of Changjiang River Scientific Research Institute. 2015, 32(9): 86-89 https://doi.org/10.11988/ckyyb.20140269

References

[1] 艾克明. 台阶式泄槽洪道的水力特性和设计应用[J]. 水力发电学报, 1998, (4): 86-95.(AI Ke-ming. Hydraulic Characteristics and Design Applications of Stepped Spillways[J]. Journal of Hydroelectric Engineering, 1998, (4) : 86- 95. (in Chinese))
[2] 田嘉宁, 大津岩夫,李建中, 等. 台阶式溢洪道各流况的消能特性[J]. 水利学报, 2003, (4): 35-39. (TIAN Jia-ning, QHTSU I, LI Jian-zhong, et al. The Characters of Energy Dissipation under Different Flow on Stepped Spillways[J]. Journal of Hydraulic Engineering, 2003, (4) : 35-39. (in Chinese))
[3] 田嘉宁, 安田阳一,李建中. 台阶式泄水建筑物的消能分析[J]. 水力发电学报, 2009, 28(2): 96-100. (TIAN Jia-ning, YASUDA Y, LI Jian-zhong. Energy Dissipation on Stepped Sluicing Structure[J]. Journal of Hydroelectric Engineering, 2009, 28(2): 96-100. (in Chinese))
[4] 陈群, 戴光清, 朱分清, 等. 影响阶梯溢流坝消能率的因素 [J]. 水力发电学报, 2003, 22(4): 95-104. (CHEN Qun, DAI Guang-qing, ZHU Fen-qing, et al. Factors of Influence on the Energy Dissipation Ratio of Stepped Spillways[J]. Journal of Hydroelectric Engineering, 2003, 22(4): 95-104. (in Chinese))
[5] 杨庆. 阶梯溢流坝水力特性和消能机理试验研究 [D]. 成都: 四川大学, 2002. (YANG Qing. Mode Hydraulic Characteristics and Energy Dissipation Mechanism of Stepped Overflow Dam[D]. Chengdu: Sichuan University, 2002. (in Chinese))
[6] FELDER S, CHANSON H. Energy Dissipation Down a Stepped Spillway with Non-uniform Step Heights[J]. Journal of Hydraulic Engineering, 2011, 137(11): 1543-1548.
[7] YASUDA Y. Energy Dissipation of Skimming Flows on Stepped-channel Chutes[C]//Fluvial, Environmental and Coastal Developments in Hydraulic Engineering. Proceedings of the International Workshop on State-of-the-Art Hydraulic Engineering, Bari, Italy, February 16-19, 2004: 67-80.
[8] CHINNARASRI C, WONGWISES S. Flow Patterns and Energy Dissipation over Various Stepped Chutes[J]. Journal of Irrigation and Drainage Engineering, 2006, 132(1): 70-76.
[9] 李建中,宁利中.高速水力学[M].西安:西北工业大学出版社,1994. (LI Jian-zhong, NING Li-zhong. High-speed Hydraulics[M]. Xi’an: Northwestern Polytechnic University Press, 1994. (in Chinese))
[10]刘士和.高速水流[M].北京:科学出版社,2005. (LIU Shi-he. High-speed Flow[M]. Beijing: Science Press, 2005. (in Chinese))
[11]张峰, 刘韩生. 台阶式溢洪道消能特性的研究[J]. 水利与建筑工程学报, 2012, 10(4): 11-13. (ZHANG Feng, LIU Han-sheng. Study on Energy Dissipation Properties of Stepped Spillway[J]. Journal of Water Resources and Architectural Engineering, 2012, 10(4): 11-13. (in Chinese))
[12]吴宪生. 台阶式溢流坝水力特性初探[J]. 四川水力发电, 1998, 17(1): 73-77. (WU Xian-sheng. Elementary Study on Hydraulic Property of Stepped Spillway[J]. Sichuan Water Power, 1998, 17(1): 73-77. (in Chinese))
[13]BOES R M, HAGER W. Hydraulic Design of Stepped Spillways[J]. Journal of Hydraulic Engineering, 2003, 129(9): 671-679.
[14]BOES R M, HAGER W. Two-phase Flow Characteristics of Stepped Spillways[J]. Journal of Hydraulic Engineering, 2003, 129(9): 661-670.