Bed-Load Transport Equation on Arbitrarily Sloping Beds
Publication: Journal of Hydraulic Engineering
Volume 134, Issue 1
Abstract
This work presents a simple tool to evaluate bed-load transport intensity and direction on arbitrarily sloping beds with local longitudinal and transversal inclinations up to and in the case of uniform sediments and low values of the applied Shields stress. The tool is composed of a set of equations which fit the results obtained via an iterative procedure by the semiempirical model recently proposed in 2003 by Parker, Seminara, and Solari. The tool provides a fully nonlinear description of bed-load transport which overcomes the limitations of linear formulations developed in the case of negligible local bed inclinations. The proposed tool can be easily implemented in any morphodynamic model to describe the evolution of the bottom topography and to capture the dynamics of relevant sloping beds.
Get full access to this article
View all available purchase options and get full access to this article.
References
Abbott, J. E., and Francis, J. R. D. (1977). “Saltation and suspension trajectories of solid grains in a water streams.” Philos. Trans. R. Soc. London, Ser. A, 284, 225–254.
Ashida, K., and Michiue, M. (1972). “Study on hydraulic resistance and bedload transport rate in alluvial streams.” Trans. Jpn. Soc. Civ. Eng., 206, 59–69.
Bagnold, R. A. (1956). “The flow of cohesionless grains in fluids.” Philos. Trans. R. Soc. London, Ser. A, 249, 235–297.
Engelund, F., and Fredsoe, J. (1976). “A sediment transport model for straight alluvial channels.” Nord. Hydrol., 7, 293–306.
Fernandez Luque, R., and Van Beek, R. (1976). “Erosion and transport of bedload sediment.” J. Hydraul. Res., 14(2), 127–144.
Francalanci, S., and Solari, L. (2007). “Gravitational effects on bed load transport at low shields stress: Experimental observations.” Water Resour. Res., 43, W03424.
Francalanci, S., Solari, L., and Vignoli, G. (2006). “Gravitational effects on river morphodynamics.” Proc., River Flow, Conf. on River Hydraulics, Lisbon, Portugal, 1129–1136.
Francis, J. R. D. (1973). “Experiments on the motion of solitary grains along the bed of a water stream.” Proc. R. Soc. London, Ser. A, 332, 443–471.
Ikeda, S. (1982). “Lateral bed load transport on side slopes.” J. Hydr. Div., 108(11), 1369–1373.
Nino, Y., and Garcia, M. (1994). “Gravel saltation. 1. Experiments.” Water Resour. Res., 30(6), 1907–1914.
Parker, G. (1984). “Discussion of lateral bed load transport on side slopes.” J. Hydraul. Eng., 110(2), 197–199.
Parker, G., Seminara, G., and Solari, L. (2003). “Bed load at low Shields stress on arbitrarily sloping beds: Alternative entrainment formulation.” Water Resour. Res., 39(7), 1183.
Sekine, M., and Kikkaua, H. (1992). “Mechanics of saltating grains. II.” J. Hydraul. Eng., 118(4), 536–558.
Seminara, G., Solari, L., and Parker, G. (2002). “Bed load at low Shields stress on arbitrarily sloping beds: Failure of the Bagnold hypothesis.” Water Resour. Res., 38(11), 1249.
Struiksma, N., Olesen, K., Flokstra, C., and Vriend, H. de. (1985). “Bed deformation in a curved alluvial channel.” J. Hydraul. Res., 23(1), 57–59.
Information & Authors
Information
Published In
Copyright
© 2008 ASCE.
History
Received: Jan 19, 2006
Accepted: Feb 9, 2007
Published online: Jan 1, 2008
Published in print: Jan 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.