典型断面渠道正常水深计算

doi:10.3969/j.issn.1674-8530.2012.03.015

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Abstract Water normal depth calculation is an important task in the design of an open channel for drainage and irrigation. First, dimensionless variables including channel roughness coefficient, bed slope, geometric parameters, and discharge were introduced for each common section. In order to obtain general equations and evaluate their accuracy, the explicit equations available for water normal depth were expressed by those dimensionless variables. Then, the real ranges of those variables were specified for each common section in applications, the relative errors in the explicit equations that involve the variables were analyzed in the ranges. Also, the global relative error distribution diagrams were plotted to compare the maximum relative error and the global one. According to these analyses, the most appropriate equations, which can explicitly calculate the water normal depth in the channels with five types of common section, were spotted. Finally, based on the best approximations algorithm a new piecewise explicit equation was proposed for the water normal depth in a standard castlegate section. It was shown that the maximum relative errors in all the recommended equations are less than 1％ for the water normal depth in six types of common section. The results in the paper have provided an effective method for designing channels with six types of common section and carrying out hydraulic calculations.

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

Received: 31 October 2011 Published: 10 April 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 normal depth in channels with common shapes[J]. Journal of Drainage and Irrigation Machinery Engin, 2012, 30(3): 324-329.

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http://zzs.ujs.edu.cn/pgjx/EN/10.3969/j.issn.1674-8530.2012.03.015 OR http://zzs.ujs.edu.cn/pgjx/EN/Y2012/V30/I3/324

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