Test of a Method to Calculate Near-Bank Velocity and Boundary Shear Stress
Publication: Journal of Hydraulic Engineering
Volume 135, Issue 7
Abstract
Detailed knowledge of the flow and boundary shear stress fields near the banks of natural channels is essential for making accurate calculations of rates of near-bank sediment transport and geomorphic adjustment. This paper presents a high-resolution laboratory data set of velocity and boundary shear stress measurements and uses it to test a relatively simple, fully predictive, numerical method for determining these distributions across the cross-section of a straight channel. The measurements are made in a flume with a fairly complex cross-section that includes a simulated, cobble-roughened floodplain. The method tested is that reported by Kean and Smith in Riparian Vegetation and Fluvial Geomorphology in 2004, which is modified here to include the effects of drag on clasts located in the channel. The calculated patterns of velocity and boundary shear stress are shown to be in reasonable agreement with the measurements. The principal differences between the measured and calculated fields are the result of secondary circulations, which are not included in the calculation. Better agreement with the structure of the measured streamwise velocity field is obtained by distorting the calculated flow field with the measured secondary flow. Calculations for a variety of narrower and wider configurations of the original flume geometry are used to show how the width-to-depth ratio affects the distribution of velocity and boundary shear stress across the channel.
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Acknowledgments
John Cox made most of the detailed flume measurements that were used in this study. Robert Wells provided additional measurement support. Ned Andrews, Jeff Coe, and three anonymous reviewers made many helpful suggestions.
References
Cheng, N. S., and Chua, L. H. C. (2005). “Comparisons of sidewall correction of bed shear stress in open-channel flows.” J. Hydraul. Eng., 131(7), 605–609.
Einstein, H. A. (1942). “Formulas for the transportation of bed load.” Trans. Am. Soc. Civ. Eng., 107, 561–577.
Einstein, H. A. and Chien, N. (1955). “Effects of heavy sediment concentrations near the bed on velocity and sediment distribution.” Univ. of California, Berkeley, Institute for Engineering Research, No. 8.
Griffin, E. R., Kean, J. W., Vincent, K. R., Smith, J. D., and Friedman, J. M. (2005). “Modeling effects of bank friction and woody bank vegetation on channel flow and boundary shear stress in the Rio Puerco, New Mexico.” J. Geophys. Res., 110, F04023.
Head, M. R., and Rechenberg, I. (1972). “The Preston tube as a means of measuring skin friction.” J. Fluid Mech., 14, 1–17.
Hollingshead, A. B., and Rajaratnam, N. (1980). “A calibration chart for the Preston tube.” J. Fluid Mech., 14, 1–17.
Houjou, K., Shimizu, Y., and Ishii, C. (1990). “Calculation of boundary shear stress in open channel flow.” J. Hydrosci. Hydr. Eng., 8, 21–37.
Hwang, L.-S., and Laursen, E. (1963). “Shear measurement technique for rough surfaces.” J. Hydr. Div., 89(HY2), 19–37.
Kean, J. W. (2003). “Computation of flow and boundary shear stress near the banks of streams and rivers.” Ph.D. thesis, University of Colorado, Boulder.
Kean, J. W., and Smith, J. D. (2004). “Flow and boundary shear stress in channels with woody bank vegetation.” Riparian vegetation and fluvial geomorphology, AGU Water Science and Application Series 8, S. J. Bennett and A. Simon, eds., AGU, Washington, D.C., 237–252.
Kean, J. W., and Smith, J. D. (2005). “Generation and verification of theoretical rating curves in the Whitewater River Basin, KS.” J. Geophys. Res., 110, F04012.
Kean, J. W., and Smith, J. D. (2006a). “Form drag in rivers due to small-scale natural topographic features: 1. Regular sequences.” J. Geophys. Res., 111, F04009.
Kean, J. W., and Smith, J. D. (2006b). “Form drag in rivers due to small-scale natural topographic features: 2. Irregular sequences.” J. Geophys. Res., 111, F04010.
Knight, D. W., Demetriou, J. D., Hamed, M. E. (1984). “Boundary shear in smooth rectangular channels.” J. Hydraul. Eng., 110(4), 405–422.
Knight, D. W., Yuen, K. W. H., and Al-Hamid, A. A. I. (1994). “Boundary shear stress distributions in open channel flow.” Mixing and transport in the environment, K. J. Beven, P. C. Chatwin, and J. H. Millbank, eds., Wiley, Hoboken, N.J., 51–87.
Kundu, P. K. (1990). Fluid mechanics, Academic, New York.
Leighly, J. B. (1932). “Toward a theory of the morphologic significance of turbulence in the flow of water in streams.” Univ. Calif. Publ. Geogr., 6(1), 1–22.
Liggett, J. A. (1994). Fluid mechanics, McGraw-Hill, New York.
Long, C. E., Wiberg, P. L., and Nowell, A. R. M. (1993). “Evaluation of von Karman’s constant from integral flow parameters.” J. Hydraul. Eng., 119, 1182–1190.
Lundgren, H., and Jonsson, I. G. (1964). “Shear and velocity distribution in shallow channels.” J. Hydr. Div., 90(HY1), 1–21.
Maghrebi, M. F., and Ball, J. E. (2006). “New method for estimation of discharge.” J. Hydraul. Eng., 132, 1044–1051.
Naot, D., Nezu, I., and Nakagawa, H. (1993). “Hydrodynamic behavior of compound rectangular open channels.” J. Hydraul. Eng., 119, 390–408.
Nece, R. E., and Smith, J. D. (1970). “Boundary shear stress in rivers and estuaries.” J. Wtrwy., Harb. and Coast. Engrg. Div., 96(WW2), 335–358.
Nezu, I., and Nakagawa, H. (1993). Turbulence in open-channel flows, Balkema, Rotterdam, The Netherlands.
Nikuradse, J. (1933). “Stromungsgesetze in rauhen Rohren.” VDI-Forschungsheft 361 (English translation, 1950, “Laws of flow in rough pipes.” NACA Tech. Mem. 1292, Natl. Advis. Comm. for Aeron., Washington D.C.).
Parker, G. (1978). “Self-formed straight rivers with equilibrium banks and mobile bed. Part 2. The gravel river.” J. Fluid Mech., 89, 127–146.
Patel, V. C. (1965). “Calibration of the Preston tube and limitations on its use in pressure gradients.” J. Fluid Mech., 23(1), 185–208.
Preston, J. H. (1954). “The determination of turbulent skin friction by means of Pitot tubes.” J. R. Aeronaut. Soc., 58, 109–121.
Shimizu, Y. (1989). “Effects of lateral stress in open channel flow.” Rep. to the River Hydraulics and Hydrology Laboratory, Civil Engineering Research Institute, Hokaido, Japan.
Shiono, K., and Knight, D. W. (1991). “Turbulent open-channel flows with variable depth across the channel.” J. Fluid Mech., 222, 617–646.
Tominaga, A., and Nezu, I. (1991). “Turbulent structure in compound open-channel flows.” J. Hydraul. Eng., 117(1), 21–41.
Vanoni, V. A., and Brooks, N. H. (1957). Laboratory studies of the roughness of and suspended load of alluvial streams, Sedimentation Laboratory, California Institute of Technology, Pasadena, Calif.
Wahl, T. L. (2000). “Analyzing ADV data using WinADV.” Proc. Joint Conf. on Water Resources Engineering and Water Resources Planning & Management, ASCE, Reston, Minneapolis.
Wiberg, P. L., and Smith, J. D. (1991). “Velocity distribution and bed roughness in high-gradient streams.” Water Resour. Res., 27(5), 825–838.
Williams, G. P. (1970). “Flume width and water depth effects in sediment transport experiments.” U.S. Geological Survey Professional Paper, 562-H.
Wu, S., and Rajaratnam, N. (2000). “A simple method for measuring shear stress on rough boundaries.” J. Hydraul. Res., 38(5), 399–400.
Yang, S. Q. and Lim, S. Y. (2005). “Boundary shear stress distributions in trapezoidal channels.” J. Hydraul. Res., 43(1), 98–102.
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© 2009 ASCE.
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Received: Jun 1, 2007
Accepted: Jan 11, 2009
Published online: Feb 6, 2009
Published in print: Jul 2009
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