Evaluation of the Secondary Current Parameter and Depth-Averaged Velocity in Curved Compound Open Channels
Publication: Journal of Hydraulic Engineering
Volume 144, Issue 9
Abstract
Simultaneous effects of centrifugal force, floodplain interferences, and variation of the depth-averaged velocity are combined in an analytical model to derive a relationship for estimating the secondary current parameter in bends of compound open channels. This parameter is evaluated using the experimental data. To generalize the obtained relationships, numerical modeling is performed using open-source computational fluid dynamics (CFD) software. In the present study, the Reynolds-averaged Navier-Stokes equations (RANS) are solved, and a single-phase solver is applied with an appropriate boundary condition on the free surface. The shear stress transport (SST) turbulent model is applied for turbulence modeling of the flow field. To obtain general correlations for the hydrodynamic characteristics of the flow, such as the velocity components, different numerical models are developed. Accordingly, all the present numerical results, as well as the available experimental data, are used to derive correlations for the secondary current parameter in curved compound open channels.
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References
Birmingham. 2018. “Public Research University.” Accessed February 2, 2018. https://www.birmingham.ac.uk/research/activity/civil-engineering/archive/shortterm/floods/flowdata/fcf-data/index.aspx.
Cfdsupport. 2017. “Support for the use, installation and configuration of the OpenFOAM software.” Accessed September 27, 2017. https://www.cfdsupport.com/OpenFOAM-Training-by-CFD-Support/node114.html.
Cox, D. A., J. Little, and D. O’Shea. 2010. Ideals, varieties, and algorithms: An introduction to computational algebraic geometry and commutative algebra. Berlin: Springer.
Da Silveira e Lorena, M. L. 1992. “Meandering compound flow.” Ph.D. thesis, Univ. of Glasgow.
De Marchis, M., and E. Napoli. 2008. “The effect of geometrical parameters on the discharge capacity of meandering compound channels.” Adv. Water Resour. 31: 1662–1673.
Ervine, D. A., K. Babaeyan-Koopaei, and R. H. J. 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).
Guo, J., and P. Y. Julien. 2005. “Shear stress in smooth rectangular open-channel flows.” J. Hydraul. Eng. 131 (1): 30–37. https://doi.org/10.1061/(ASCE)0733-9429(2005)131:1(30).
Ikeda, S., and I. K. McEwan. 2008. Flow and sediment transport in compound channels: The experiences of Japanese and UK research. IAHR Monographs. Madrid, Spain: International Association of Hydraulic Engineering Research.
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.
Knight, D. W., and J. D. Demetriou. 1983. “Flood plain 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. E. 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).
Liu, C., N. Wright, X. Liu, and K. Yang. 2014. “An analytical model for lateral depth-averaged velocity distributions along a meander in curved compound channels.” Adv. Water Resour. 74: 26–43. https://doi.org/10.1016/j.advwatres.2014.08.003.
Morvan, H., G. Pender, N. G. Wright, and D. A. Ervine. 2002. “Three-dimensional hydrodynamics of meandering compound channels.” J. Hydraul. Eng. 128 (7): 674–682. https://doi.org/10.1061/(ASCE)0733-9429(2002)128:7(674).
Research Gate. 2017. “Y plus range for turbulent models?” Accessed October 20, 2017. https://www.researchgate.net/post/y_plus_range_for_turbulent_models.
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.
Shao, X., H. Wang, and Z. Chen. 2003. “Numerical modeling of turbulent flow in curved channels of compound cross-section.” Adv. Water Resour. 26 (5): 525–539. https://doi.org/10.1016/S0309-1708(03)00008-3.
Sharcnet.ca. 2016. “Symmetry boundary conditions.” Accessed December 26, 2016. https://www.sharcnet.ca/Software/Fluent6/html/ug/node257.htm.
Shiono, K., and D. W. Knight. 1988. “Two-dimensional analytical solution for compound channel.” In Proc., 3rd Int. Symp. on Refined Flow Modelling and Turbulence Measurements, edited by Y. Iwasa, N. Tamai, and A. Wada, 503–510. Tokyo.
Shiono, K., and D. W. Knight. 1991. “Turbulent open channel flows with variable depth across the channel.” J. Fluid Mech. 222 (1): 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: 221–261. https://doi.org/10.1017/S0022112098002869.
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, Loughborough Univ.
Tang, X., and D. W. Knight. 2008. “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.
Tominaga, A., I. Nezu, K. Ezaki, and H. Nakagawa. 1989. “Three-dimensional turbulent structure in straight open channel flows.” J. Hydraul. Res. 27 (1): 149–173. https://doi.org/10.1080/00221688909499249.
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. Dis. 2 (3): 511–519.
Wormleaton, P. R., J. Allen, and P. Hdjipanos. 1982. “Discharge assessment in compound channel flow.” J. Hydraul. Div. 108 (9): 975–994.
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.
Zarrati, A. R., N. Tamai, and Y. 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).
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©2018 American Society of Civil Engineers.
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Received: Dec 19, 2017
Accepted: Mar 13, 2018
Published online: Jun 25, 2018
Published in print: Sep 1, 2018
Discussion open until: Nov 25, 2018
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