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    Iterative Formulas and Estimation Formulas for Computing Normal Depth of Horseshoe Cross-Section Tunnel

    Source: Journal of Irrigation and Drainage Engineering:;2010:;Volume ( 136 ):;issue: 011
    Author:
    Jiliang Liu
    ,
    Zhengzhong Wang
    ,
    Xing Fang
    DOI: 10.1061/(ASCE)IR.1943-4774.0000254
    Publisher: American Society of Civil Engineers
    Abstract: This note presents iterative formulas that can be used to calculate the normal depth for all types of horseshoe cross sections. Based on the principle of gradual optimization fitting, general estimation formulas were developed for direct computation of the normal depth for all types of the standard horseshoe cross sections. The estimation formulas have high accuracy for hydraulic designers to use in comparison with the accurate normal depths determined from iterative formulas, and the maximum relative error is less than 0.5%.
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      Iterative Formulas and Estimation Formulas for Computing Normal Depth of Horseshoe Cross-Section Tunnel

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    http://yetl.yabesh.ir/yetl1/handle/yetl/65146
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    • Journal of Irrigation and Drainage Engineering

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    contributor authorJiliang Liu
    contributor authorZhengzhong Wang
    contributor authorXing Fang
    date accessioned2017-05-08T21:52:47Z
    date available2017-05-08T21:52:47Z
    date copyrightNovember 2010
    date issued2010
    identifier other%28asce%29ir%2E1943-4774%2E0000281.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/65146
    description abstractThis note presents iterative formulas that can be used to calculate the normal depth for all types of horseshoe cross sections. Based on the principle of gradual optimization fitting, general estimation formulas were developed for direct computation of the normal depth for all types of the standard horseshoe cross sections. The estimation formulas have high accuracy for hydraulic designers to use in comparison with the accurate normal depths determined from iterative formulas, and the maximum relative error is less than 0.5%.
    publisherAmerican Society of Civil Engineers
    titleIterative Formulas and Estimation Formulas for Computing Normal Depth of Horseshoe Cross-Section Tunnel
    typeJournal Paper
    journal volume136
    journal issue11
    journal titleJournal of Irrigation and Drainage Engineering
    identifier doi10.1061/(ASCE)IR.1943-4774.0000254
    treeJournal of Irrigation and Drainage Engineering:;2010:;Volume ( 136 ):;issue: 011
    contenttypeFulltext
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