典型断面渠道临界水深计算

doi:10.3969/j.issn.1674-8530.2012.02.012

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Abstract The existing methods for calculating critical depths of open channels were summarized and their characters have been clarified. In order to identify simple, universal, accurate explicit equations for calculating the critical depth in open channels with typical crosssections, two dimensionless variables related to channel crosssection geometry and discharge were defined. Then, those explicit equations available for five sorts of open channels with typical crosssections in literature were expressed by the dimensionless variables, thus the most appropriate ones could be selected by comparing their complexity, accuracy and application range. Also, by applying the best approximations algorithm, a new explicit equation expressed as a series of piecewise power functions was developed for the openchannel with standard citygate crosssection. For the new equations, the results of error analyses indicate that all the maximum relative errors in critical depth are less than 1% in the channel normal application range. The results of the study may provide a reference for the design and hydraulic calculations of typical open channels applied in drainage and irrigation.

Key words： channels for drainage and irrigation channel shapes characteristic depths;critical depth relative error explicit equations

Received: 31 October 2011 Published: 30 March 2012

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	Articles by authors
	LIU Ji-Liang
	WANG Zheng-Zhong
	SU De-Hui
	YANG Xiao-Song
	LIU Quan-Hong

Cite this article:

LIU Ji-Liang,WANG Zheng-Zhong,SU De-Hui等. Calculation of water critical depth in channels with common shapes[J]. Journal of Drainage and Irrigation Machinery Engin, 2012, 30(2): 181-187.

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http://zzs.ujs.edu.cn/pgjx/EN/10.3969/j.issn.1674-8530.2012.02.012 OR http://zzs.ujs.edu.cn/pgjx/EN/Y2012/V30/I2/181

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