Sediment Entrainment Probability and Threshold of Sediment Suspension: Exponential-Based Approach
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VIEW THE REPLYPublication: Journal of Hydraulic Engineering
Volume 139, Issue 10
Abstract
This study examines the probability for sediment entrainment to bed load and the probability for the threshold condition of sediment to be in suspension. The theoretical analysis is based on a simple one-sided exponential distribution of probability function. The probability distributions are derived from a truncated universal Gram-Charlier series expansion based on the exponential or Laplace-type distributions for turbulent velocity fluctuations. The key criterion of sediment entrainment is the hydrodynamic lift acting on a solitary particle to exceed submerged weight of the particle. In this way, a simple probability function for sediment entrainment to bed load in terms of Shields parameter containing the lift coefficient is obtained. It was found that the value of lift coefficient as 0.15 satisfactorily fitted the probability function versus Shields parameter curve with the experimental data. On the other hand, the key criterion of the threshold of sediment suspension is the fluctuations of the vertical velocity component to exceed terminal fall velocity of the particle. The probability function for the threshold of a sediment particle to be in suspension is obtained in terms of Shields parameter as a function of shear Reynolds number. Curves for different values of probabilities are drawn in respect to a Shields diagram. For the value of probability 0.05, the threshold of sediment suspension is indicated. The prediction curves for the threshold of sediment suspension are proposed in terms of Rouse number versus Shields parameter and also Shields parameter versus shear Reynolds number.
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Acknowledgments
The first author is thankful to the Centre for Theoretical Studies at Indian Institute of Technology, Kharagpur, for providing fellowship to visit the Institute during the course of this study.
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Published In
Journal of Hydraulic Engineering
Volume 139 • Issue 10 • October 2013
Pages: 1099 - 1106
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Nov 20, 2012
Accepted: Apr 10, 2013
Published online: Apr 12, 2013
Discussion open until: Sep 12, 2013
Published in print: Oct 1, 2013
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