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Mar 1, 2008

Transition between Two Bed-Load Transport Regimes: Saltation and Sheet Flow

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Publication: Journal of Hydraulic Engineering
Volume 134, Issue 3

Abstract

In the saltation regime where bed-shear stress is low, bed load moves by sliding, rolling, and saltating along the bed, while in the sheet-flow regime where bed-shear stress is high, it travels by a combination of saltation and sheet flow. In this paper a theoretical model is developed for predicting the onset of the sheet-flow regime as shear stress increases. This model is based on a new variable Pb representing the proportion of grains on the bed that are entrained as bed load. The model yields the equation Pb=2.56θG3 in which G=1θcθ , θ=dimensionless bed-shear stress; and θc=critical value of θ at which grains begin to move. The equation shows that θt , which is the value of θ at the onset of the sheet-flow regime and is assumed to occur when Pb=1 , is around 0.5 with the exact value controlled by θc . For example, when θc=0.045 , θt=0.52 . The theoretical model is verified by performing a nonlinear regression analysis on data from 285 flume experiments. Additional flume experiments with a high-speed video (HSV) system result in consistent values of θ for the onset of the sheet-flow regime, which support the theoretical model. The HSV images further reveal that: (1) the sheet-flow regime is characterized by granular sheets or laminations; and (2) a zone of mixed saltation and rolling grains exists not only in the saltation regime but also in the sheet-flow regime.

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Acknowledgments

This research was supported by the Jornada Long-Term Ecological Research (LTER) program of the National Science FoundationNSF and the College of Arts and Sciences, University at Buffalo, which provided a grant to lease the high-speed video system. The writer thanks Professor Athol D. Abrahams for his support, helpful discussions, and comments on the manuscript. The suggestions of two anonymous reviewers have been greatly appreciated.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 134Issue 3March 2008
Pages: 340 - 349

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Received: May 19, 2005
Accepted: Aug 17, 2006
Published online: Mar 1, 2008
Published in print: Mar 2008

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Assistant Professor, 144 Eggers Hall, Dept. of Geography, Syracuse Univ., Syracuse, NY 13244. E-mail: [email protected]

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