Rolling and Lifting Probabilities for Sediment Entrainment
Publication: Journal of Hydraulic Engineering
Volume 129, Issue 2
Abstract
This study addresses the rolling and lifting probabilities for sediment entrainment by incorporating the probabilistic features of the turbulent fluctuation and bed grain geometry. The lognormally distributed instantaneous velocity and uniformly distributed initial grain position, along with a relation between lift coefficient and particle Reynolds number, are used to extend the theoretical formulation of the entrainment probabilities in smooth-bed flows. The two threshold conditions identified herein enable us to precisely define the probabilities of entrainment in the rolling and lifting modes. The results obtained in this study coincide well with the published data. The lifting probability increases monotonously with the dimensionless shear stress which is consistent with the earlier results yet displays improved agreement with the experimental data. The maximum value of rolling probability, with a magnitude of 0.25, occurs at For (or the rolling (or lifting) probability makes up more than 90% of the total entrainment probability and thus can be used as an approximation to the total probability of entrainment. The proposed rolling and lifting probabilities are further linked to the two separate criteria for incipient motion to explore the critical entrainment probabilities. The results reveal that a consistent probability corresponding to the critical state of sediment entrainment cannot be found.
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Information
Published In
Journal of Hydraulic Engineering
Volume 129 • Issue 2 • February 2003
Pages: 110 - 119
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Sep 13, 2001
Accepted: May 30, 2002
Published online: Jan 15, 2003
Published in print: Feb 2003
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