Lateral Depth-Averaged Velocity Distributions and Bed Shear in Rectangular Compound Channels
Publication: Journal of Hydraulic Engineering
Volume 134, Issue 9
Abstract
This paper presents a method to predict depth-averaged velocity and bed shear stress for overbank flows in straight rectangular two-stage channels. An analytical solution to the depth-integrated Navier–Stokes equation is presented that includes the effects of bed friction, lateral turbulence, and secondary flows. The Shiono and Knight method accounts for bed shear, lateral shear, and secondary flow effects via three coefficients, , , and , respectively. A novel boundary condition at the internal wall between the main channel and the adjoined floodplain is proposed and discussed along with other conventional boundary conditions. The analytical solution using the novel boundary condition gives good prediction of both lateral velocity distribution and bed shear stress when compared with experimental data for different aspect ratios.
Get full access to this article
View all available purchase options and get full access to this article.
References
Abril, J. B., and Knight, D. W. (2004a). “Stabilising the Paute River in Ecuador.” Civil Engineering Proc., of the Institute of Civil Engineers, February, London, 32–38.
Abril, J. B., and Knight, D. W. (2004b). “Stage-discharge prediction for rivers in flood applying a depth-averaged model.” J. Hydraul. Res., 42(6), 616–629.
Atabay, S. (2001). “Stage-discharge, resistance and sediment transport relationships for flow in straight compound channels.” Ph.D. thesis, Univ. of Birmingham, U.K.
Castanedo, S., Medina, M., and Mendez, F. J. (2005). “Models for the turbulent diffusion terms of shallow water equations.” J. Hydraul. Eng., 131(3), 217–223.
Ervine, D. A., Babaeyan-Koopaei, K., and Sellin, R. H. J. (2000). “Two-dimensional solution for straight and meandering overbank flows.” J. Hydraul. Eng., 126(9), 653–669.
Knight, D. W. (1992). “SERC flood channel facility experimental data—Phase A.” SR Report No. 314, HR Wallingford, Vols. 1–15 (available from HR Wallingford, Oxon, OX10 8BA, U.K.).
Knight, D. W., and Demetriou, J. D. (1983). “Flood plain and main channel flow interaction.” J. Hydraul. Eng., 109(8), 1073–1092.
Knight, D. W., Omran, M., and Abril, J. B. (2004). “Boundary conditions between panels in depth-averaged flow models revisited.” River Flow 2004, Proc., 2nd Int. Conf. on Fluvial Hydraulics, 23–25 June, Napoli, Italy, Vol. 1, M. Greco, A. Carravetta, and R. D. Morte, eds., 371–380.
Knight, D. W., Omran, M., and Tang, X. (2007). “Modelling depth-averaged velocity and boundary shear in trapezoidal channels with secondary flows.” J. Hydraul. Eng., 133(1), 39–47.
Knight, D. W., and Sellin, R. H. J. (1987). “The SERC flood channel facility.” J. Inst. Water Environ. Manage., 1(2), 198–204.
Knight, D. W., and Shiono, K. (1990). “Turbulence measurements in a shear layer region of a compound channel.” J. Hydraul. Res., 28(2), 175–196 [Discussion in JHR, (1991), 29(2), 259–276].
Knight, D. W., and Shiono, K. (1996). “River channel and floodplain hydraulics.” Floodplain processes, M. G. Anderson, D. E. Walling, and P. D. Bates, eds., Chap. 5, Wiley, Chichester, U.K., 139–181.
Knight, D. W., Shiono, K., and Pirt, J., and (1989). “Prediction of depth mean velocity and discharge in natural rivers with overbank flow.” Proc., Int. Conf. on Hydraulic and Environmental Modelling of Coastal, Estuarine and River Waters, R. A. Falconer et al., eds., Univ. of Bradford, Gower Technical Press, Paper 38, 419–428.
Shiono, K., and Knight, D. W. (1988). “Two-dimensional analytical solution for a compound channel.” Proc. 3rd Int. Symp. on Refined Flow Modelling and Turbulence Measurements, Tokyo, 503–510.
Shiono, K., and Knight, D. W. (1990). “Mathematical models of flow in two or multi stage straight channels.” Proc., Int. Conf. on River Flood Hydraulics, September, W. R. White, ed., Wiley, Chichester, U.K., Wallingford, Paper G1, 229–238.
Shiono, K., and Knight, D. W. (1991). “Turbulent open channel flows with variable depth across the channel.” J. Fluid Mech., 222, 617–646 (and Vol. 231, Oct. 693).
Tominaga, A., and Knight, D. W. (2004). “Numerical evaluation of secondary flow effects on lateral momentum transfer in overbank flows.” River Flow 2004, Proc., 2nd Int. Conf. on Fluvial Hydraulics, 23–25 June, Napoli, Italy, Vol. 1, M. Greco, A. Carravetta, and R. D. Morte, eds., 353–361.
van Prooijen, B. C., Battjes, J. A., and Uijttewaal, W. S. J. (2005). “Momentum exchange in straight uniform compound channel flow.” J. Hydraul. Eng., 131(3), 175–183.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 134 • Issue 9 • September 2008
Pages: 1337 - 1342
Copyright
© 2008 ASCE.
History
Received: May 8, 2007
Accepted: Nov 27, 2007
Published online: Sep 1, 2008
Published in print: Sep 2008
Authors
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.