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《Agricultural Research in the Arid Areas》 2017-02
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The explicit calculation formula of normal and critical water depth for egg-shaped section

BIAN Xiao-wei;ZHENG Xin-qiao;DAI Shu-bing;JIAN Yue;MA Yu-lei;Power China Guiyang Engineering Corporation Limited;Sinohydro Corporation Engineering Bureau 15 Co.,Ltd.;Faculty of Infrastructure Engineering,Dalian University of Techlonogy;Yunnan Jiangong Water Resource and Hydroelectric Construction Co.,Ltd.;  
The calculating formulas of normal and critical water depth for egg-shaped section are sectional transcendental equations,which can't be solved directly. In this article,the normal and critical depth formula is simplified by mathematical deformation,and then the relation of filling degree x with nondimensional normal water depth H and nondimensional critical depth P is gotten. The 1stopt software is adopted to optimize and fit the established nonlinear model parameters based on genetic algorithm and set up the explicit calculation formula of normal and critical water depth for egg-shaped section. The error analysis and example calculation show that,within the large range of common project application,the largest relative errors of normal and critical water depth for egg-shaped section are just 0. 3691% and-0. 0726%,relatively. Compared with the existing formulas,the explicit formula is characterized by a larger application range,a higher precision and a more convenient calculation. The proposed formula will provide a theoretical basis and useful reference for project design,operation and management.
【CateGory Index】: TV133
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【Citations】
Chinese Journal Full-text Database 7 Hits
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 CHEN Cheng;GONG Yi;SHEN Gang;ZHU Weibin;NIU Jiamin;CAO Mengye;School of Hydraulic Energy and Power Engineering,Yangzhou University;Liyang Water Conservancy Bureau;Administrative Office of Yanyun Irrigated Area in Jiangdu District;Suzhou Water Conservancy Bureau;;Study on application of iterative approximation—progressive optimization fitting approach to hydraulic calculation[J];水利水电技术;2017-06
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