Closure to “Iterative Formulas and Estimation Formulas for Computing Normal Depth of Horseshoe Cross-Section Tunnel” by Jiliang Liu, Zhengzhong Wang, and Xing Fang
Publication: Journal of Irrigation and Drainage Engineering
Volume 138, Issue 8
IR.1943-4774.0000473/asset/d529485b-2dfb-4f9f-82d4-60d347b4f81a/assets/(asce)ir.1943-4774.0000473.fp.png)
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References
Fang, X. (2012). “Computing critical and normal depths for horseshoe cross-sections using Excel spreadsheet.” 〈http://eng.auburn.edu/users/xzf0001/EightChannels.htm〉 (May 1, 2012).
Fang, X., Jiang, S. D., Raut, K., and Qiu, J. W. (2006). “Applications of Microsoft Excel Solver function in water resource engineering.” Proc., Texas Section American Society of Civil Engineers Spring Conf., ASCE Texas Section, Austin, TX.
Frontline Systems, Inc. (2012). “Frontline solvers: Developers of the Excel Solver.” 〈http://www.solver.com〉 (May 1, 2012).
Liu, J. L., Wang, Z. Z., and Fang, X. (2010). “Formulas for computing geometry and critical depth of general horseshoe tunnels.” Trans. ASABE, TARSBB53(4), 1159–1164.
Manoj, K. K., Devkota, J., and Fang, X. (2010). “Computing critical and normal depths for eight types of cross-section using Excel spreadsheet.” Proc., 2010 World Environmental and Water Resources Congress (CD-ROM), Palmer, R. N., ed., ASCE, Reston, VA.
Tsinghua Univ. (1980). Hydraulics, Hydraulic Research Div., ed., Vol. 2, The Higher Education Publishing Co., Beijing.
Vatankhah, A. R., and Easa, S. M. (2011). “Explicit solutions for critical and normal depths in channels with different shapes.” Flow Meas. Instrum.FMEIEJ, 22(1), 43–49.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 138 • Issue 8 • August 2012
Pages: 787 - 790
Copyright
© 2012. American Society of Civil Engineers.
History
Received: Feb 20, 2012
Accepted: Feb 28, 2012
Published online: Jul 16, 2012
Published in print: Aug 1, 2012
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