Flow Resistance and Momentum Flux in Compound Open Channels
Publication: Journal of Hydraulic Engineering
Volume 132, Issue 12
Abstract
New formulations are presented for flow resistance and momentum flux in compound open channels. As implemented in the St. Venant equations, these formulations facilitate a physically enhanced approach to evaluating conveyance, roughness, stage-discharge relationship, and unsteady flood routing in compound open channels. An analysis using steady flow data from the well-controlled experiments at the large-scale Flood Channel Facility, HR Wallingford, demonstrates the ability of the present approach to properly resolve the discontinuity of overall roughness across the main-channel bankfull level. Also, the proposed formulations are shown to be conducive to obviating the long-standing computational difficulty in unsteady flood routing due to small flow depths over flat and wide floodplains. The present work should find general applications in one-dimensional computation of river flows.
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Acknowledgments
The research reported in this paper is funded by the U.K. Engineering and Physical Science Research Council under Grant No. GR/R66951/01 and by the National Natural Science Foundation, China, under Grant No. 50459001. The writers are grateful to the anonymous reviewers and Dr. Rahman Khatibi for their constructive comments and suggestions.
References
Abbott, M. (1979). Computational hydraulics: Elements of the theory of free surface flows, Pitman, London.
Ackers, P. (1992). “Hydraulic design of two-stage channels.” Proc. Inst. Civ. Eng., Water Maritime Energ., 96(4), 247–257.
Batchelor, G. (1967). An introduction to fluid dynamics, Cambridge University Press, Cambridge, U.K.
Bousmar, D., Wilkin, N., Jacquemart, J., and Zech, Y. (2004). “Overbank flow in symmetrically narrowing floodplains.” J. Hydraul. Eng., 130(4), 305–312.
Bousmar, D., and Zech, Y. (1999). “Momentum transfer for practical flow computation in compound channels.” J. Hydraul. Eng., 125(7), 696–706.
Cunge, J. A., Holly, F. M., Jr., and Verwey, A. (1980). Practical aspects of computational river hydraulics, Pitman, London.
Darby, S. (1999). “Effect of riparian vegetation on flow resistance and flood potential.” J. Hydraul. Eng., 125(5), 443–454.
Darby, S., and Thorne, C. (1996). “Predicting stage-discharge curves in channels with bank vegetation.” J. Hydraul. Eng., 122(10), 583–586.
Engineering and Physical Sciences Research Council (EPSRC). (2001). “Database on conveyance in river/floodplain systems.” http://ncrfs.civil.gla.ac.uk/info.htm (June 18, 2004).
Environment Agency. (2002). “Review of methods for estimating conveyance.” Interim Rep. 2, Project W5A–057, Flood and Coastal Defence Research and Development Program, Bristol, U.K.
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.
Ervine, D. A., Willetts, B. B., Sellin, R. H. J., and Lorena, M. (1993). “Factors affecting conveyance in meandering compound flows.” J. Hydraul. Eng., 119(12), 1383–1399.
Fread, D. L. (1976). “Flood routing in meandering rivers with flood plains.” Proc., Rivers ’76 Symp. on Inland Waterways for Navigation, Flood Control, and Water Diversion, ASCE, New York, 1, 164–197.
HEC-RAS river analysis system: Hydraulic reference manual, version 2.2. (1998). U.S. Army Corps of Engineers, Hydrologic Engineering Center, Davis, Calif.
Heniche, M., Secretan, Y., and Leclerc, M. (2002). “Dynamic tracking of flow boundaries in rivers with respect to discharge.” J. Hydraul. Res., 40(5), 589–602.
HR Wallingford. (1992). “SERC Flood Channel Facility experimental data: Phase A.” Rep. SR314, Vol. 1, Wallingford, U.K.
ISIS online help manual, version 2.0. (2001). HR Wallingford Ltd. & Halcrow, Wallingford, U.K.
Knight, D. W. (1999). “Flow mechanisms and sediment transport in compound channels.” Int. J. Sediment Res., 14(2), 217–236.
Knight, D. W. (2001). “Scoping study on reducing uncertainty in river flood conveyance: Conveyance in 1D river models.” Rep. Prepared for HR Wallingford and the Environmental Agency, HR Wallingford, Wallingford, U.K.
Knight, D. W., and Shiono, K. (1990). “Turbulence measurement in a shear layer region of compound channel.” J. Hydraul. Res., 28(2), 175–196.
Lambert, M. F., and Myers, W. R. (1998). “Estimating the discharge capacity in straight compound channels. Proc. Inst. Civ. Eng., Water Maritime Energ., 130, 84–94.
LeVeque, R. J. (2002). Finite volume methods for hyperbolic problems, Cambridge University Press, Cambridge, U.K.
Liggett, J. A. (1975). “Basic equations of unsteady flow.” Unsteady flow in open channels, Vol. 1, K. Mahmood and V. Yevjevich, eds., Water Resources Publications, Fort Collins, Colo., 29–62.
Martin, L. A., and Myers, W. R. C. (1991). “Measurement of overbank flow in a compound river channel.” Proc., Inst. Civ. Engrs., 91(2), 645–657.
Myers, R. C., and Lyness, J. F. (1997). “Discharge ratios in smooth and rough compound channels.” J. Hydraul. Eng., 123(3), 182–188.
Myers, W. R. C. (1987). “Velocity and discharge in compound channels.” J. Hydraul. Eng., 113(6), 753–766.
Nakayama, A., Chow, W. L., and Sharma, D. (1983). “Calculation of fully developed turbulent flows in ducts of arbitrary cross-section.” J. Fluid Mech., 128, 199–217.
Naot, D., Nezu, I., and Nakagawa, H. (1993). “Hydrodynamic behavior of compound rectangular open channels.” J. Hydraul. Eng., 119(3), 390–408.
Nicholas, A., and McLelland, S. (2004). “Computational fluid dynamics modelling of three-dimensional processes on natural river floodplains.” J. Hydraul. Res., 42(2).
Pezzinga, G. (1994). “Velocity distribution in compound channel flows by numerical modeling.” J. Hydraul. Eng., 120(10), 1176–1198.
Preissmann, A. (1961). “Propagation des intumescences dans les canaux et rivières.” Proc., 1st Congress, French Association for Computation, Grenoble, France, 433–442 (in French).
Prinos, P., Townsend, R., and Tavoularis, S. (1985). “Structure of turbulence in compound channel flows.” J. Hydraul. Eng., 111(9), 1246–1261.
Rashid, R. S. M., and Chaudhry, M. H. (1995). “Flood routing in channels with flood plains.” J. Hydrol., 171(1), 75–91.
Schaffranek, R. W., and Lai, C. (1994). “Treatment of nonhomogeneous terms in flow models.” Proc., 1994 Natl. Conf. on Hydraulic Engineering, ASCE, New York, 1, 522–527.
Sellin, R. H. J., and Beesten, D. P. (2004). “Conveyance of a managed vegetated two-stage river channel.” Proc. Inst. Civ. Eng., Water Management, 157(1), 23–35.
Sellin, R. H. J., Ervine, D. A., and Willetts, B. B. (1993). “Behaviour of meandering two-stage channels.” Proc. Inst. Civ. Eng., Water Maritime Energ., 101, 99–111.
Shiono, K., Al-Romaih, J. S., and Knight, D. W. (1999). “Stage-discharge assessment in compound meandering channels.” J. Hydraul. Eng., 125(1), 66–77.
Shiono, K., and Knight, D. (1991). “Turbulent open channel flows with variable depth across the channel.” J. Fluid Mech., 222, 617–646.
Shiono, K., and Muto, Y. (1998). “Complex flow mechanisms in compound meandering channels with overbank flow.” J. Fluid Mech., 376, 221–261.
Smart, G. (1992). “Stage-discharge discontinuity in composite flood channels.” J. Hydraul. Res., 30(6), 817–833.
Sofialidis, D., and Prinos, P. (1998). “Compound open-channel flow modeling with nonlinear low-Reynolds models.” J. Hydraul. Eng., 124(3), 253–262.
Sofialidis, D., and Prinos, P. (1999). “Numerical study of momentum exchange in compound open channel flow.” J. Hydraul. Eng., 125(2), 152–165.
Stephenson, D., and Kolovopoulos, P. (1990). “Effects of momentum transfer in compound channels.” J. Hydraul. Eng., 116(12), 1512–1522.
Stoesser, T., Wilson, C., Bates, P., and Dittrich, A. (2003). “Application of a 3D numerical model to a river with vegetated floodplains.” J. Hydroinformatics, 5, 99–112.
Tang, X., Knight, D. W., and Samuels, P. G. (2001). “Wave speed-discharge relationship from cross-section survey.” Proc. Inst. Civ. Eng., Water and Maritime Eng., 148(2), 81–96.
Tominaga, A., and Nezu, I. (1991). “Turbulent structure in compound open-channel flows.” J. Hydraul. Eng., 117(1), 21–41.
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.
Venutelli, M. (2002). “Stability and accuracy of weighted four-point implicit finite difference schemes for open channel flow.” J. Hydraul. Eng., 128(3), 281–288.
Wark, J. B., Samuels, P. G., and Ervine, D. A. (1990). “A practical method of estimating velocity and discharge in a compound channel.” River flood hydraulics, R. W. White, ed., Wiley, New York, 163–172.
Wei, L. Y. (1990). “Basic equations for mathematical river models.” River modelling, J. H. Xie, ed., China Water and Power Press, Beijing, China (in Chinese).
Wormleaton, P. R., Allen, J., and Hadjipanos, P. (1982). “Discharge assessment in compound channel flow.” J. Hydr. Div., 108(9), 975–994.
Wormleaton, P. R., and Merrett, D. (1990). “An improved method for calculating for steady and uniform flow in prismatic main channel/flood plain sections.” J. Hydraul. Res., 28, 157–174.
Yen, B. C. (2002). “Open channel flow resistance.” J. Hydraul. Eng., 128(1), 20–39.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 132 • Issue 12 • December 2006
Pages: 1272 - 1282
Copyright
© 2006 ASCE.
History
Received: Jul 27, 2004
Accepted: Apr 11, 2006
Published online: Dec 1, 2006
Published in print: Dec 2006
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