TECHNICAL NOTES
Jan 1, 2008

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 25° 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

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 134Issue 1January 2008
Pages: 110 - 115

History

Received: Jan 19, 2006
Accepted: Feb 9, 2007
Published online: Jan 1, 2008
Published in print: Jan 2008

Permissions

Request permissions for this article.

Authors

Affiliations

Simona Francalanci
Researcher, Dept. of Civil and Environmental Engineering, Univ. of Florence, Via S.Marta 3, 50139 Firenze, Italy; presently, Center of Research and Advanced Education for Hydrogeological Risk Prevention (CERAFRI), Via XI Febbraio 2, 55040 Retignano di Stazzema, Lucca, Italy. E-mail: [email protected]
Luca Solari
Assistant Professor, Dept. of Civil and Environmental Engineering, Univ. of Florence, Via S. Marta 3, 50139 Firenze, Italy (corresponding author). E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share