An approximate formula to calculate the critical depth in circular culvert
Email:
binhhn@utc.edu.vn
Từ khóa:
Critical depth, Circular culvert, Froude number, Regression equations, Specific energy section
Tóm tắt
Critical depth is a depth of flow where a specific energy section is at a minimum value with a flow rate. Critical depth is an essential parameter in computing gradually varied flow profiles in open channels and in designing culverts. If cross-sections are rectangular or triangular, the critical depth can be computed by the governing equation. However, for other geometries such as trapezoidal, circular, it is totally difficult to find a solution, because the governing equations are implicit. Therefore, the approximate solution could be determined by trial, numerical or graphical methods. These methods tend to take a long time to find an approximate solution, so a simple formula will be more convenient for consultant hydraulic design engineers. The existing formulas are simple, but the relative error between the approximate solutions and true values can reach 9% or greater. This article presents new explicit regression equations for the critical depth in a partially full circular culvert. The proposed formula is quite simple, and the relative maximum error is 3.03%. It would be very useful as a reference for design in conduit engineeringTài liệu tham khảo
[1]. Hoang Nam Binh, Expanding the application range of Agroskin's critical depth formula in trapezoidal open channel, Transport and Communications science journal, 67 (2018), 17-23.
[2]. Nguyen Canh Cam, Vu Van Tao, Hydraulics, Vol. 1, Agricultural Publishing House, 2006, Vietnamese.
[3]. Chou V. T., Open-channel hydraulics, McGraw-Hill book company, 1988, ISBN 07-010776-9.
[4]. Hanif C. M., Open-Channel Flow, Second Edition, Springer Science+Business Media, LLC, 2008, ISBN 978-0-387-30174-7.
[5]. MIDUSS Version 2 Reference Manual, Hydraulic Theory, Alan A. Smith Inc, http://miduss.com/theory-Pipe-Design.htm
[6]. Haixin Shang, Song Xu, Kuandi Zhang, Luyou Zhao, Explicit solution for critical depth in closed conduits flowing partly full, Water, 11 (2019) 2124. https://doi.org/10.3390/w11102124
[7]. Straub WO., A quick and easy way to calculate critical and conjugate depths in circular open channels. Civil Engineering, 1978.
[8]. Swamee PK, Critical depth equations for irrigation canals, Journal of Irrigation and Drainage Engineering, 119 (1993) 400-9. https://doi.org/10.1061/(ASCE)0733-9437(1993)119:2(400)
[9]. U.S. Department of Transportation, Hydraulic design of highway culverts, Third edition, Publication No. FHWA-HIF-12-026, 2012.
[10]. Vatankhah A. R., Easa S. M., Explicit solutions for critical and normal depths in channels with different shapes, Flow Measurement and Instrumentation, 22 (2011) 43-49, https://doi.org/10.1016/j.flowmeasinst.2010.12.003
[11]. Vyzgo M. S., Determining critical depth of waterways, canals, Gidrotekhnika i Melioratsiya, 2, (1949), Moscow.
[12]. Yerzhanova N. K. et al., Critical section and critical depth in open flows finding device, Magazine of Civil Engineering, 8 (2017) 106-114. https://doi.org/10.18720/MCE.76.10
[2]. Nguyen Canh Cam, Vu Van Tao, Hydraulics, Vol. 1, Agricultural Publishing House, 2006, Vietnamese.
[3]. Chou V. T., Open-channel hydraulics, McGraw-Hill book company, 1988, ISBN 07-010776-9.
[4]. Hanif C. M., Open-Channel Flow, Second Edition, Springer Science+Business Media, LLC, 2008, ISBN 978-0-387-30174-7.
[5]. MIDUSS Version 2 Reference Manual, Hydraulic Theory, Alan A. Smith Inc, http://miduss.com/theory-Pipe-Design.htm
[6]. Haixin Shang, Song Xu, Kuandi Zhang, Luyou Zhao, Explicit solution for critical depth in closed conduits flowing partly full, Water, 11 (2019) 2124. https://doi.org/10.3390/w11102124
[7]. Straub WO., A quick and easy way to calculate critical and conjugate depths in circular open channels. Civil Engineering, 1978.
[8]. Swamee PK, Critical depth equations for irrigation canals, Journal of Irrigation and Drainage Engineering, 119 (1993) 400-9. https://doi.org/10.1061/(ASCE)0733-9437(1993)119:2(400)
[9]. U.S. Department of Transportation, Hydraulic design of highway culverts, Third edition, Publication No. FHWA-HIF-12-026, 2012.
[10]. Vatankhah A. R., Easa S. M., Explicit solutions for critical and normal depths in channels with different shapes, Flow Measurement and Instrumentation, 22 (2011) 43-49, https://doi.org/10.1016/j.flowmeasinst.2010.12.003
[11]. Vyzgo M. S., Determining critical depth of waterways, canals, Gidrotekhnika i Melioratsiya, 2, (1949), Moscow.
[12]. Yerzhanova N. K. et al., Critical section and critical depth in open flows finding device, Magazine of Civil Engineering, 8 (2017) 106-114. https://doi.org/10.18720/MCE.76.10
Tải xuống
Chưa có dữ liệu thống kê
Nhận bài
31/05/2020
Nhận bài sửa
17/09/2020
Chấp nhận đăng
18/09/2020
Xuất bản
30/09/2020
Chuyên mục
Công trình khoa học
Kiểu trích dẫn
Hoang Nam, B. (8800). An approximate formula to calculate the critical depth in circular culvert
. Tạp Chí Khoa Học Giao Thông Vận Tải, 71(7), 840-852. https://doi.org/10.47869/tcsj.71.7.9
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157
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199
