Technical Notes
May 14, 2021

Direct Solutions for Uniform Flow Parameters of Wide Rectangular and Triangular Sections

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Publication: Journal of Irrigation and Drainage Engineering
Volume 147, Issue 7

Abstract

One of the general problems encountered in the design of open channels is the computation of normal depth, head loss, and discharge. A wide rectangular section is commonly used in natural streams and surface/sheet flow in watersheds and the triangular section is commonly used for irrigation and roadside channels. The normal depth or head loss is traditionally solved using a trial (iterative) procedure. This paper develops two direct solutions for the head loss and normal depth for the wide rectangular and triangular open channel sections. The explicit equations for the normal depths are developed in terms of fast converging power series. The maximum errors of the proposed explicit formulas are 0.65% and 2% for triangular and wide rectangular channels, respectively, compared with 5% and 8% for the existing methods.

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Data Availability Statement

No data, model, or code were generated or used during the study.

Acknowledgments

The support provided by the General Directorate for Scientific Research and Technological Development, Algeria, is acknowledged.

References

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 147Issue 7July 2021

History

Received: Jun 29, 2020
Accepted: Feb 24, 2021
Published online: May 14, 2021
Published in print: Jul 1, 2021
Discussion open until: Oct 14, 2021

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Authors

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Ph.D. Student, Dept. of Civil Engineering and Hydraulics, Univ. of Mohamed Khider, P.O. Box 145 RP, Biskra 07000, Algeria; Ph.D. Student, Laboratory of Hydraulic Developments and Environment, Univ. of Biskra, BP 918 RP, Biskra 07000, Algeria (corresponding author). ORCID: https://orcid.org/0000-0002-0677-0589. Email: [email protected]
Professor, Dept. of Civil Engineering, Ryerson Univ., Toronto, ON, Canada M5B 2K3. ORCID: https://orcid.org/0000-0003-0754-138X. Email: [email protected]
Mohamed T. Bouziane [email protected]
Professor, Dept. of Civil Engineering and Hydraulics, Univ. of Mohamed Khider, P.O. Box 145 RP, Biskra 07000, Algeria; Professor, Laboratory of Hydraulic Developments and Environment, Univ. of Biskra, BP 918 RP, Biskra 07000, Algeria. Email: [email protected]
Mohammad Bijankhan [email protected]
Assistant Professor, Dept. of Water Engineering, Faculty of Engineering and Technology, Imam Khomeini International Univ., Qazvin 34149-16818, Iran. Email: [email protected]
Yan-Cheng Han [email protected]
Associate Professor, Dept. of Hydraulic Engineering, School of Water Conservancy and Environment, Univ. of Jinan, Jinan 250022, China. Email: [email protected]

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Cited by

  • Closure to “Explicit Solution for Pipe Diameter Problem Using Lambert -Function”, Journal of Irrigation and Drainage Engineering, 10.1061/JIDEDH.IRENG-10141, 149, 7, (2023).
  • Lambert W-function Solution for Uniform Flow Depth Problem, Water Resources Management, 10.1007/s11269-022-03167-4, 36, 8, (2653-2663), (2022).

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