Surface-Based Fractional Transport Predictor: Deterministic or Stochastic
Publication: Journal of Hydraulic Engineering
Volume 134, Issue 3
Abstract
Stochastic bed load transport formulas for nonuniform sediment exist, but most of them do not account for the composition of surface material to predict fractional transport rate. This study transformed a surface-based bed-load transport predictor to a stochastic one by approximating the fluctuation of bed-shear stress with a standard log-normal distribution. The deterministic predictor underpredicts fractional transport rate at low values of bed-shear stress and Reynolds number. The modified stochastic predictor predicts fractional transport rate more accurately and converges to the deterministic one at high shear stresses.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research project was partially funded by the U.S. Department of Defense, Army Research Office (ARO), under Grant No. UNSPECIFIEDDAAD19-00-1-0157, and Cooperative Agreement between the U.S. Army Corps of Engineers and the Desert Research Institute (DRI), under Grant No. UNSPECIFIEDDACW42-03-0-0003.
References
Ackers, P., and White, W. R. (1973). “Sediment transport: A new approach and analysis.” J. Hydr. Div., 99(11), 2041–2060.
Alfredsson, P. H., Johansson, A. V., Haritonidid, J. H., and Eckelmann, H. (1988). “The fluctuating wall shear stress and the velocity field in the viscous sublayer.” Phys. Fluids, 31(5), 1026–1033.
Blinco, P. H., and Simons, D. B. (1974). “Characteristics of turbulent boundary shear stress.” J. Engrg. Mech. Div., 100(2), 203–220.
Cheng, N. S., and Chiew, Y. M. (1998). “Pickup probability for sediment entrainment.” J. Hydraul. Eng., 124(2), 232–235.
Cheng, N. S., and Law, A. W. (2003). “Fluctuations of turbulent bed-shear stress.” J. Hydraul. Eng., 129(1), 126–130.
Chiew, Y. T., Khoo, B. C., Lim, P. C., and Teo, C. J. (1998). “Dynamic response of a hot-wire anemometer. Part II: A flush-mounted hot-wire and hot-film probes for wall shear stress measurements.” Meas. Sci. Technol., 9, 764–778.
Einstein, H. A. (1950). “The bed load function for sediment transportation in open channel flows.” Tech. Bull. U.S. Dep. Agric., 1026.
Hunziker, R., and Jaeggi, M. N. R. (2002). “Grain sorting processes.” J. Hydraul. Eng., 128(12), 1060–1068.
Kleinhans, M., and van Rijn, L. (2002). “Stochastic prediction of sediment transport in sand-gravel bed rivers.” 128(4), 412–425.
Lopez, F., and Garcia, M. H. (1999). “Wall similarity in turbulent open channel flow.” J. Eng. Mech., 127(7), 789–796.
McEwan, I., Sorensen, M., Heald, J., Tait, S., Cunningham, G., Goring, D., and Willetts, B. (2004). “Probabilistic modeling of bed load composition.” J. Hydraul. Eng., 130(2), 129–139.
Meyer-Peter, R., and Müller, R. (1948). “Formulas for bedload transport.” Proc., 2nd Meeting Int. Association of Hydraulic Research, Stockholm, Sweden, 39–64.
Miyagi, N., Kimura, M., Shoji, H., Saima, A., Ho, C. M., Tung, S., and Tai, Y. C. (2000). “Statistical analysis on wall shear stress of turbulent boundary layer in a channel flow using micro-shear stress imager.” Int. J. Heat Fluid Flow, 21, 576–581.
Paintal, A. S. (1971). “A stochastic model of bed-load transport.” J. Hydraul. Res., 9(4), 527–554.
Papanicolaou, A. N., Bdour, A., and Wicklein, E. (2004). “One-dimensional hydrodynamic/sediment transport model applicable to steep mountain streams.” J. Hydraul. Res., 42(4), 357–375.
Parker, G. (1990). “Surface-based bedload transport relation for gravel rivers.” J. Hydraul. Res., 28(4), 417–436.
Parker, G., Klingeman, P. C., and McLean, D. L. (1982). “Bedload and size distribution in paved gravel-bed streams.” J. Hydr. Div., 108(4), 544–571.
Proffitt, G. T., and Sutherland, A. J. (1983). “Transport of nonuniform sediments.” J. Hydraul. Res., 21(1), 33–43.
Screenivasan, K. R., and Antonia, R. A. (1977). “Properties of wall shear stress fluctuations in a turbulent duct flow.” J. Appl. Mech., 44, 389–395.
Sun, Z., and Donahue, J. (2000). “Statistically derived bedload formula for any fraction of non-uniform sediment.” J. Hydraul. Eng., 126(2), 105–111.
Tsujimoto, T. (1999). “Sediment transport processes and channel incision: mixed size sediment transport, degradation and armoring.” Incised river channels, S. E. Darby and A. Simon, eds., Wiley, New York.
Wilcock, P. R. (1992). “Experimental investigation of the effect of mixture properties on transport dynamics.” Dynamics of gravel-bed rivers, P. Billi et al., eds., Wiley, New York, 109–130.
Wilcock, P. R., and Crowe, J. C. (2003). “Surface-based transport model for mixed-size sediment.” J. Hydraul. Eng., 129(2), 120–128.
Wu, F., and Chou, Y. (2003). “Rolling and lifting probabilities for sediment entrainment.” J. Hydraul. Eng., 129(2), 110–119.
Wu, F., and Yang, K. (2004). “Entrainment probabilities of mixed-size sediment incorporating near-bed coherent flow structures.” J. Hydraul. Eng., 130(12), 1187–1197.
Wu, W., Wang, S. S. Y., and Jia, Y. (2000). “Nonuniform sediment transport in alluvial rivers.” J. Hydraul. Res., 38(6), 427–434.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 134 • Issue 3 • March 2008
Pages: 350 - 353
Copyright
© 2008 ASCE.
History
Received: Feb 15, 2005
Accepted: Jun 18, 2006
Published online: Mar 1, 2008
Published in print: Mar 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.