Iterative Formulas and Estimation Formulas for Computing Normal Depth of Horseshoe Cross-Section Tunnel
Publication: Journal of Irrigation and Drainage Engineering
Volume 136, Issue 11
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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Acknowledgments
This study was supported by a state 863 project (Grant No. UNSPECIFIED2002AA62Z3191) of the People’s Republic of China. The writers would like to thank Mr. Zhao Yanfeng for his suggestions on this study. They are also grateful to Mr. Lv Hongxing for his previous work on normal depth calculation of horseshoe cross sections.
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Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 136 • Issue 11 • November 2010
Pages: 786 - 790
Copyright
© 2010 ASCE.
History
Received: Aug 10, 2009
Accepted: Apr 2, 2010
Published online: Apr 19, 2010
Published in print: Nov 2010
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