Transport Equation for Suspended Sediment Based on Two-Fluid Model of Solid/Liquid Two-Phase Flows
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VIEW CORRECTIONPublication: Journal of Hydraulic Engineering
Volume 137, Issue 5
Abstract
Most theoretical and numerical studies employ diffusion theory to investigate suspended sediment distributions in fluvial rivers, yet diffusion-theory-based descriptions are strictly valid only in the limit of small particle inertia and low concentrations. This paper presents a transport equation for sediment in suspension based on a two-fluid model of solid/liquid two-phase flows. The transport equation is derived from the consideration of mass conservation for solid particles. The velocity of the solid phase is obtained from an asymptotic solution of the momentum conservation equation for solid phase. Moreover, this transport equation is a typical convection-diffusion equation that includes the conventional diffusion equation as a special case when particle inertia is small and concentrations are low. Retaining the essential features of two-fluid models, the transport equation is applicable to sediment-laden flows with a wide range of particle inertia and sediment concentrations. Comparisons of the results with available experimental observations are presented, and fairly good agreement is obtained.
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Acknowledgments
We extend great thanks and appreciation to the anonymous reviewers for their instructive comments and suggestions. Financial support from the Natural Science Foundation of China (NSFC, Grant No. NNSFC50979041 and NNSFC51039004), the National Key Basic Research Program of China (Grant No. UNSPECIFIED2010CB731504), and the research funding from State Key Laboratory of Hydroscience and Engineering (Grant No. UNSPECIFIED2009-ZY-5) is gratefully acknowledged.
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Published In
Journal of Hydraulic Engineering
Volume 137 • Issue 5 • May 2011
Pages: 530 - 542
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© 2011 American Society of Civil Engineers.
History
Received: Jan 11, 2010
Accepted: Sep 15, 2010
Published online: Apr 15, 2011
Published in print: May 1, 2011
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