TECHNICAL PAPERS
May 15, 2003

Particle Densimetric Froude Number for Estimating Sediment Transport

Publication: Journal of Hydraulic Engineering
Volume 129, Issue 6

Abstract

It has been established that for ratios of flow depth to bed particle diameter less than ten (flow on very rough boundaries) neither the Reynolds number of the solid loose particles at a stream bed nor the Shields parameter are adequate variables to predict critical flow conditions for the initiation of motion. A particle densimetric Froude number F*=U/[(s-1)gD]1/2 (where U=mean velocity, s=ratio of sediment and fluid densities, g=acceleration due to gravity, and D=characteristic diameter of bed particle) is here proposed as an alternative criterion to predict hydraulic conditions for the initiation of motion. Values of critical F* were computed after calibration with available experimental data sets. After the critical conditions for the initiation of particle motion were exceeded, transport of bed particles was established. In order to evaluate the performance of a transport equation that contains F* in sediment transport, a set of the most employed formulations to estimate bed material transport in steep slope macrorough flows were tested. The comparison of the results shows that F* can be used to accurately predict sediment discharge.

Get full access to this article

View all available purchase options and get full access to this article.

References

Ackers, P., and White, W. R.(1973). “Sediment transport: New approach and analysis.” J. Hydraul. Div., Am. Soc. Civ. Eng., 99(11), 2041–2060.
Aguirre-Pe, J. (1975). “Incipient erosion in high gradient open channel flow with artificial roughness elements.” Proc., 16th Congress, International Association of Hydraulic Research, (IAHR), Sao Paulo, Brazil, 2, 173–180.
Aguirre-Pe, J., and Fuentes, R.(1990). “Resistance to flow in steep rough streams.” J. Hydraul. Eng., 116(11), 1374–1387.
Aguirre-Pe, J., and Fuentes, R. (1991). “Movement of big particles in steep, macro-rough streams.” Proc., 24th Congress, IAHR, Madrid, Spain, A, 149–158.
Aguirre-Pe, J., Fuentes, R., Picón, G., and Moncada, A. (1992). “Estudio experimental de transporte de sedimentos gruesos.” Proc., 15th Latin American Congress, IAHR, Cartagena, Colombia, 3, 129–139.
Andrews, E. D., and Parker, G. (1987). “Formation of coarse surface layer as the response to gravel bed mobility.” Sediment transport in gravel bed rivers, C. R., Thorne, J. C. Bathurst, and P. D. Hey, eds., Wiley, New York, Chap. 10, 269–300.
Ashida, K., and Bayazit, M. (1973). “Initiation of motion and roughness of flows in steep channels.” Proc., 15th Congress, IAHR, Istanbul, Turkey, 1, 475–484.
Bathurst, J. C., Cao, H. H., and Graf, W. H. (1984). “The data from the EPFL study of hydraulics and sediment transport in a steep flume.” Ecole Polytechnique Fédérale de Lausanne (EPFL) Rep. CH-1015, Lausanne, Switzerland, 64.
Bathurst, J. C., Graf, W. H., and Cao, H. H. (1983). “Initiation of sediment transport in steep channels with coarse bed material.” Mechanics of sediment transport, B. M. Summer and A. Müller, eds., Rotterdam, The Netherlands, 207–213.
Bathurst, J. C., Graf, W. H., and Cao, H. H. (1987). “Bed load discharge equations for steep mountain rivers.” Sediment transport in gravel bed rivers, C. R. Thorne, J. C. Bathurst, and R. D. Hey, eds., Wiley, New York, Chap. 15, 453–491.
Brownlie, W. R. (1981). “Compilation of alluvial channel data: Laboratory and field.” Rep. No. KH-R-43B, California Institute of Technology, Pasadena, Calif.
Cheng, N.(2002). “Exponential formula for bedload transport.” J. Hydraul. Eng., 128(10), 942–946.
Chiew, Y., and Parker, G.(1994). “Incipient sediment motion on non-horizontal slopes.” J. Hydraul. Res., 32(5), 649–660.
Einstein, H. A.(1942). “Formulae for the transportation of bed load.” Trans. Am. Soc. Civ. Eng., 107(2140), 251–573.
Engelund, F., and Hansen, E. (1967). A monograph on sediment transport in alluvial streams, Teknist Vorlag, Copenhagen, Denmark.
Furbish, D. J.(1998). “Irregular bed forms in steep, rough channels. 1: Stability analysis.” Water Resour. Res., 34(12), 3635–3648.
Hydrau-Tech, Inc. (1998). “Sedbase, sediment transport data base.” Sedbase 3 (CD-ROM), Fort Collins, Colo.
Karim, F.(1998). “Bed material discharge prediction for non-uniform bed sediments.” J. Hydraul. Eng., 124(6), 597–604.
Kovacs, A., and Parker, G.(1994). “A new vectorial bedload formulation and its application to the time evolution of straight river channels.” J. Fluid Mech., 227, 153–183.
Mizuyama, T. (1977). “Bedload transport in steep channels.” Doctoral thesis, Kyoto Univ., Kyoto, Japan, 118.
Meyer-Peter, E., and Müller, R. (1948). “Formulations of the bed-load transport.” 2nd Int. Congress, IAHR, Stockholm, Sweden, 39–64.
Neill, C. R. (1967). “Mean velocity criterion for scour of coarse uniform bed-material.” 12th Congress, IAHR, Fort Collins, Colo. 3, 46–54.
Ochoa, M. A. (2001). “Transporte de Fondo de Fracciones de Sedimentos en Flujo Torrencial.” Thesis for Engineer Degree, Univ. de Los Andes, Mérida, Venezuela, 99.
Olivero, M. L. (1984). “Movimiento incipiente de partı´culas en flujo torrencial.” Application Rep. for Associate Professor, Univ. de Los Andes, Mérida, Venezuela, 169.
Paintal, A. S.(1971). “Concept of critical shear stress in loose boundary open channels.” J. Hydraul. Res., 1, 90–113.
Parker, G., Klingeman, P. C., and McLean, D. G.(1982). “Bedload and size distribution in paved gravel-bed streams.” J. Hydraul. Div., Am. Soc. Civ. Eng., 108(4), 544–571.
Parker, G., and Sutherland, A. J.(1990). “Fluvial armor.” J. Hydraul. Res., 28(5), 529–544.
Rouse, H. (1939). “An analysis of sediment transport in the light of fluid turbulence.” Soil Conservation Service, Rep. SCS-TP-25, U.S. Department of Agriculture, Washington, D.C.
Schoklitsch, A. (1962). Handbuch des wasserbaues, 3rd Ed., Springer-Verlag, Vienna, Austria.
Shields, A. (1936). Anwendung der aehnlichkeitsmechanik der turbulenzforchung auf die geschiebebewwegung, Mitt der Preuss, Versuchsanstalt für Wasserbau und Schiffbau, Berlin, Germany.
Smart, G. M., and Jaeggi, M. (1983). Sediment transport on steep slopes, V. A. W., Mitteilungen 64, Hidrologie und Glaziologie, ETH, Zurich, Switzerland, 191.
Taylor, B. D., and Vanoni, V. A.(1991). “Temperature effects in low-transport flat-bed flows.” J. Hydraul. Div., Am. Soc. Civ. Eng., 97, 1427–1445.
Wilcock, P. R.(1993). “Critical shear stress of natural sediments.” J. Hydraul. Eng., 119(4), 491–505.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 129Issue 6June 2003
Pages: 428 - 437

History

Received: Mar 30, 2001
Accepted: Jan 21, 2003
Published online: May 15, 2003
Published in print: Jun 2003

Permissions

Request permissions for this article.

Authors

Affiliations

Julián Aguirre-Pe, M.ASCE
Professor, CHIDRA, Hydraulic Laboratory, Civil Engineering, Univ. de Los Andes, Apartado 45, Mérida A-5101, Venezuela.
Marı´a L. Olivero
Professor, CHIDRA, Hydraulic Laboratory, Civil Engineering, Univ. de Los Andes, Mérida A-5101, Venezuela.
Alix T. Moncada
Professor, CHIDRA, Hydraulic Laboratory, Civil Engineering, Univ. de Los Andes, Mérida A-5101, Venezuela.

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