Technical Papers
Dec 15, 2020

Boundary Shear Stress Distribution in Curved Compound Open Channels

Publication: Journal of Hydraulic Engineering
Volume 147, Issue 2

Abstract

An analytical model for evaluation of boundary shear stress in compound open-channel bends is developed. Perpendicular volumetric elements are generated in all cross sections of a bend. Each element represents an equation with two parameters, including the secondary current parameter and momentum transfer coefficient, accounting for acceleration and internal forces. For each cross section with N elements, N equations with N unknowns of streamwise depth-averaged velocity are derived. The boundary shear stress distribution is then calculated using the Darcy-Weisbach relationship. The momentum transfer coefficient is related to the geometric characteristics of the channel cross section and the bend. The present results were compared with the experimental data available in the literature. The experimental models have trapezoidal and rectangular main channels with both curved and straight paths. The results seem to be acceptable except at the interface of the main channel and floodplains, because of the planform vortices. Overall, the total results are satisfactory, and the present analytical model can be used to predict the boundary shear stress in simple and compound channels.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code generated or used during the study are available in a repository online in accordance with funder data retention policies (http://theses.gla.ac.uk/74427/, DOI: https://doi.org/10.1017/S0022112098002869 and https://dspace.lboro.ac.uk/dspace/handle/2134/6825). Some or all data, models, or code generated or used during the study are available from the corresponding author by request (including codes and numerical results).

References

da Silveira e Lorena, M. L. 1992. “Meandering compound flow.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Glasgow.
De Veriend, H. J. 1977. “A mathematical model of steady flow in curved shallow channels.” J. Hydraul. Res. 15 (1): 37–54. https://doi.org/10.1080/00221687709499748.
Devi, K., and K. K. Khatua. 2016. “Prediction of depth averaged velocity and boundary shear distribution of a compound channel based on the mixing layer theory.” Flow Meas. Instrum. 50 (Aug): 147–157. https://doi.org/10.1016/j.flowmeasinst.2016.06.020.
Ervine, D., K. Babaeyan-Koopaei, and R. Sellin. 2000. “Two-dimensional solution for straight and meandering overbank flows.” J. Hydraul. Eng. 126 (9): 653–669. https://doi.org/10.1061/(ASCE)0733-9429(2000)126:9(653).
Farshi, F., A. Kabiri-Samani, M. R. Chamani, and H. Atoof. 2018. “Evaluation of the secondary current parameter and depth-averaged velocity in curved compound open channels.” J. Hydraul. Eng. 144 (9): 04018059. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001500.
Ghamry, H. K., and P. M. Steffler. 2005. “Two-dimensional depth-averaged modeling of flow in curved open channels.” J. Hydraul. Res. 43 (1): 44–55. https://doi.org/10.1080/00221680509500110.
Goharrokhi, M. 2015. “Effect of hydraulic shear stress on the banks of the Red River.” M.Sc. thesis, Dept. of Civil Engineering, Univ. of Manitoba.
Guo, J., and P. Y. Julien. 2002. “Boundary shear stress in smooth rectangular open-channels.” In Proc., 13th IAHR-APD Congress Advances in Hydraulic Water Engineering, 76–86. Singapore: World Scientific Publishing.
Guo, J., and P. Y. Julien. 2005. “Shear stress in smooth rectangular open-channel flows.” J. Hydraul. Eng. 1 (30): 30–37. https://doi.org/10.1061/(ASCE)0733-9429(2005)131:1(30).
Huai, W. X., M. Gao, Y. H. Zeng, and D. Li. 2009. “Two-dimensional analytical solution for compound channel flows with vegetated floodplains.” Appl. Math. Mech. 30 (9): 1121–1130. https://doi.org/10.1007/s10483-009-0906-z.
Ikeda, S., and I. K. McEwan. 2008. Flow and sediment transport in compound channels. Boca Raton, FL: CRC Press.
Jing, H., Y. Guo, C. Li, and J. Zhang. 2009. “Three-dimensional numerical simulation of compound meandering open channel flow by the Reynolds stress model.” Int. J. Numer. Methods Fluids 59 (8): 927–943. https://doi.org/10.1002/fld.1855.
Jing, H., C. Li, Y. Guo, and W. Xu. 2011. “Numerical simulation of turbulent flows in trapezoidal meandering compound open channels.” Int. J. Numer. Methods Fluids 65 (9): 1071–1083. https://doi.org/10.1002/fld.2229.
Kabiri-Samani, A., F. Farshi, and M. R. Chamani. 2013. “Boundary shear stress in smooth trapezoidal open channel flows.” J. Hydraul. Eng. 139 (2): 205–212. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000658.
Khodashenas, S., and A. Paquier. 1999. “A geometrical method for computing the distribution of boundary shear stress across irregular straight open channels.” J. Hydraul. Res. 37 (3): 381–388. https://doi.org/10.1080/00221686.1999.9628254.
Knight, D. W., and C. J. B. Abril. 1996. “Refined calibration of a depth-averaged model for turbulent flow in a compound channel.” Water Marit. Eng. 118 (3): 151–159. https://doi.org/10.1680/iwtme.1996.28682.
Knight, D. W., and J. Demetriou. 1983. “Floodplain and main channel flow interaction.” J. Hydraul. Eng. 109 (8): 1073–1092. https://doi.org/10.1061/(ASCE)0733-9429(1983)109:8(1073).
Knight, D. W., and M. Hamed. 1984. “Boundary shear in symmetrical compound channels.” J. Hydraul. Eng. 110 (10): 1412–1430. https://doi.org/10.1061/(ASCE)0733-9429(1984)110:10(1412).
Knight, D. W., M. Omran, and X. Tang. 2007. “Modelling depth-averaged velocity and boundary shear in trapezoidal channels with secondary flows.” J. Hydraul. Eng. 133 (1): 39–47. https://doi.org/10.1061/(ASCE)0733-9429(2007)133:1(39).
Knight, D. W., and K. Shiono. 1990. “Turbulence measurements in a shear layer region of a compound channel.” J. Hydraul. Res. 28 (2): 175–196. https://doi.org/10.1080/00221689009499085.
Liu, C., N. Wright, X. Liu, and K. Yang. 2012. “Flow investigations in a wide meandering compound channel.” Adv. Water Resour. 74 (6): 26–43. https://doi.org/10.1016/j.advwatres.2014.08.003.
Maghrebi, F., M. Kavousizadeh, A. Faghfour, R. Maghrebi, and A. Ahmadi. 2017. “Stage-discharge estimation in straight compound channels using isovel contours.” Hydrol. Process. 31 (22): 3859–3870. https://doi.org/10.1002/hyp.11299.
Mohanty, P. K., S. S. Dash, and K. K. Khatua. 2014. “An analytical model for lateral depth-averaged velocity distributions along a meander in curved compound channels.” Int. J. Hydraul. Eng. 1 (6): 83–94. https://doi.org/10.5923/j.ijhe.20120106.04.
Rezaei, B., and D. W. Knight. 2009. “Application of the Shiono and Knight method in compound channels with non-prismatic floodplains.” J. Hydraul. Res. 47 (6): 716–726. https://doi.org/10.3826/jhr.2009.3460.
Sanjou, M., and I. Nezu. 2009. “Turbulence structure and coherent motion in meandering compound open-channel flows.” J. Hydraul. Res. 47 (5): 598–610. https://doi.org/10.3826/jhr.2009.3485.
Shan, Y., C. Liu, and M. Luo. 2015. “Simple analytical model for depth-averaged velocity in meandering compound channels.” Appl. Math. Mech. 36 (6): 707–718. https://doi.org/10.1007/s10483-015-1943-6.
Shan, Y., X. Liu, K. Yang, and C. Liu. 2017. “Analytical model for stage-discharge estimation in meandering compound channels with submerged flexible vegetation.” Adv. Water Resour. 74 (Oct): 26–43. https://doi.org/10.1016/j.advwatres.2017.07.021.
Shao, X., H. Wang, and Z. Chen. 2003. “Numerical modeling of turbulent flow in curved channels of compound cross-section.” Adv. Water Resour. 108 (5): 170–183. https://doi.org/10.1016/S0309-1708(03)00008-3.
Sheikh, Z., and H. Bonakdari. 2016. “Prediction of boundary shear stress in circular and trapezoidal channels with entropy concept.” Urban Water J. 13 (6): 629–636. https://doi.org/10.1080/1573062X.2015.1011672.
Shiono, K., and D. W. Knight. 1988. “Two-dimensional analytical solution for compound channel.” In Proc., 3rd Int. Symp. Refined Flow Modelling and Turbulence Measurements, 591–598. Tokyo: Universal Academy Press.
Shiono, K., and D. W. Knight. 1991. “Turbulent open channel flows with variable depth across the channel.” J. Fluid Mech. 222 (Jan): 617–646. https://doi.org/10.1017/S0022112091001246.
Shiono, K., and Y. Muto. 1998. “Complex flow mechanisms in compound meandering channels with overbank flow.” J. Fluid Mech. 376 (Dec): 221–261. https://doi.org/10.1017/S0022112098002869.
Shiono, K., Y. Muto, D. W. Knight, and A. F. L. Hyde. 1999. “Energy losses due to secondary flow and turbulence in meandering channels with overbank flows.” J. Hydraul. Res. 37 (5): 641–664. https://doi.org/10.1080/00221689909498521.
Shiono, K., J. Spooner, T. Chan, P. Rameshwaran, and J. Chandler. 2008. “Flow characteristics in meandering channels with non-mobile and mobile beds for overbank flows.” J. Hydraul. Res. 46 (1): 113–132. https://doi.org/10.1080/00221686.2008.9521848.
Spooner, J. 2001. “Flow structures in a compound meandering channel with flat and natural bedforms.” Ph.D. thesis, Dept. of Civil Engineering, Loughborough Univ.
Tang, X., and D. W. Knight. 2008a. “A general model of lateral depth-averaged velocity distributions for open channel flows.” Adv. Water Resour. 31 (5): 846–857. https://doi.org/10.1016/j.advwatres.2008.02.002.
Tang, X., and D. W. Knight. 2008b. “Lateral depth-averaged velocity distributions and bed shear in rectangular compound channels.” J. Hydraul. Eng. 134 (9): 1337–1342. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:9(1337).
Veerasamy, R., H. Rajak, A. Jain, S. Sivadasan, C. P. Varghese, and R. K. Agrawal. 2011. “Validation of QSAR models—Strategies and importance.” Int. J. Drug Des. Discovery 2 (3): 511–519.
Yang, K., X. Liu, S. Cao, and E. Huang. 2014. “Stage-discharge prediction in compound channels.” J. Hydraul. Eng. 140 (4): 06014001. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000834.
Yang, K., R. Nie, X. Liu, and S. Cao. 2013. “Modelling depth-averaged velocity and boundary shear stress in rectangular compound channels with secondary flows.” J. Hydraul. Eng. 139 (1): 76–83. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000638.
Yang, S. Q., and S. Y. Lim. 1997. “Mechanism of energy transportation and turbulent flow in a 3D channel.” J. Hydraul. Eng. 123 (8): 684–692. https://doi.org/10.1061/(ASCE)0733-9429(1997)123:8(684).
Yang, S. Q., and S. Y. Lim. 1998. “Boundary shear stress distributions in smooth rectangular channels.” Water Marit. Eng. 130 (3): 163–173. https://doi.org/10.1680/iwtme.1998.30975.
Yang, S. Q., and S. Y. Lim. 2005. “Boundary shear stress distributions in trapezoidal channels.” J. Hydraul. Res. 43 (1): 98–102. https://doi.org/10.1080/00221680509500114.
Zarrati, A. R., Y. Jin, and S. Karimpour. 2008. “Semianalytical model for shear stress distribution in simple and compound open channels.” J. Hydraul. Eng. 134 (2): 205–215. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:2(205).
Zarrati, A. R., N. Tamai, and Y. C. Jin. 2005. “Mathematical modelling of meandering channels with a generalized depth averaged model.” J. Hydraul. Eng. 131 (6): 467–475. https://doi.org/10.1061/(ASCE)0733-9429(2005)131:6(467).

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 147Issue 2February 2021

History

Received: Sep 20, 2019
Accepted: Sep 9, 2020
Published online: Dec 15, 2020
Published in print: Feb 1, 2021
Discussion open until: May 15, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Fatemeh Farshi, Ph.D., M.ASCE [email protected]
Dept. of Civil Engineering, Isfahan Univ. of Technology, Isfahan 8415683111, Iran; Expert, Dept. of Water Engineering, Isfahan Higher Education and Research Institute, Isfahan 8161154111, Iran (corresponding author). Email: [email protected]
Associate Professor, Dept. of Civil Engineering, Isfahan Univ. of Technology, Isfahan 8415683111, Iran. ORCID: https://orcid.org/0000-0002-5984-3892
Mohammad R. Chamani
Associate Professor, Dept. of Civil Engineering, Isfahan Univ. of Technology, Isfahan 8415683111, Iran.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share