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《Journal of Northwest A & F University(Natural Science Edition)》 2015-08
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Direction calculation of normal water depth of egg-shaped cross section with six arcs in open channel

ZHANG Zhi-chang;JIA Bin;LI Ruo-bing;Institute of Water Resources and Hydro-electric Engineering,Xi'an University of Technology;  
【Objective】This study proposed a simple method to calculate the normal water depth of egg-shaped cross section with six arcs to provide basis for engineering design of such section.【Method】Based on area segmentation method,the area,wetted perimeter and hydraulic radius were computed.Using open channel uniform flow theory,the normal depths were studied under different flows and the approximate fitting was used to obtain simple calculation method of normal water depth.【Result】Approximate fitting was used to obtain the simple calculation methods of section area,wetted perimeter and hydraulic radius at different positions.The relationship between normal depth and rate of flow,the iterative calculation formula of the water depth and the relationship between relative water depth and relative flow were also determined.At last,the simplified calculation method of normal water depth was proposed by optimizing fitting.【Conclusion】The proposed theoretical calculation formula and approximate calculation formula of normal water depth of egg-shaped cross section were simple and precise with average error of 0.204% and maximum error of 1.129%.
【CateGory Index】: TV133
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