Bed Sediment Entrainment Function Based on Kinetic Theory
Publication: Journal of Hydraulic Engineering
Volume 137, Issue 2
Abstract
Bed sediment entrainment function is derived based on kinetic theory. The entrainment rate is expressed as an upward flux by integrating the particle velocity over all possible upward motions. The possibility of upward motion is determined by a sediment particle velocity distribution function, which is obtained by solving the Boltzmann equation instead of using a prior assumed distribution. External forces and turbulence intensity of the flow are shown to exert significant influences on the velocity distribution function and, in turn, the entrainment rate. Comparisons between available laboratory data and the entrainment function show that the calculated entrainment rates agree well with the observations. Applications of the entrainment function to the specification of the bottom boundary condition for convection-diffusion equation of suspended load are also presented, which show that the calculated concentration profiles are in good agreement with observations. The study also suggests that kinetic theory is a promising analytical approach for the study of sediment motion near a riverbed.
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Acknowledgments
The writers wish to express their most sincere gratitude to Prof. Shiqiang Wang, who gave insightful advice on the study presented in this paper. The anonymous reviewers are highly appreciated for their instructive comments and suggestions. The financial support of the Natural Science Foundation of China (NSFC, Grant No. NSFC50979041) and research funding from State Key Laboratory of Hydroscience and Engineering (Grant No. UNSPECIFIED2009-ZY-5) is also gratefully acknowledged.
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Information & Authors
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Published In
Journal of Hydraulic Engineering
Volume 137 • Issue 2 • February 2011
Pages: 222 - 233
Copyright
© 2011 ASCE.
History
Received: Nov 3, 2009
Accepted: Jun 21, 2010
Published online: Jan 14, 2011
Published in print: Feb 2011
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