Intense sediment transport: Collisional to turbulent suspension
- 1 February 2016
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 28 (2), 023302
- https://doi.org/10.1063/1.4941770
Abstract
A recent simple analytical approach to the problem of steady, uniform transport of sediment by a turbulent shearing fluid dominated by interparticle collisions is extended to the case in which the mean turbulent lift may partially or totally support the weight of the sediment. We treat the granular–fluid mixture as a continuum and make use of constitutive relations of kinetic theory of granular gases to model the particle phase and a simple mixing-length approach for the fluid. We focus on pressure-driven flows over horizontal, erodible beds and divide the flow itself into layers, each dominated by different physical mechanisms. This permits a crude analytical integration of the governing equations and to obtain analytical expressions for the distribution of particle concentration and velocity. The predictions of the theory are compared with existing laboratory measurements on the flow of glass spheres and sand particles in water. We also show how to build a regime map to distinguish between collisional, turbulent-collisional, and fully turbulent suspensions.Keywords
Funding Information
- National Science Foundation (NSF PHY11-25915)
This publication has 50 references indexed in Scilit:
- Validation of transport and friction formulae for upper plane bed by experiments in rectangular pipeJournal of Hydrology and Hydromechanics, 2013
- Transport layer structure in intense bed-loadGeophysical Research Letters, 2011
- Dense inclined flows of inelastic spheres: tests of an extension of kinetic theoryGranular Matter, 2010
- Dense inclined flows of inelastic spheresGranular Matter, 2007
- Velocity correlations in dense granular shear flows: Effects on energy dissipation and normal stressPhysical Review E, 2007
- On two-phase sediment transport: sheet flow of massive particlesProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2004
- On models for turbulence modulation in fluid–particle flowsInternational Journal of Multiphase Flow, 2000
- Collisional sheet flows of sediment driven by a turbulent fluidJournal of Fluid Mechanics, 1998
- On predicting particle-laden turbulent flowsFlow, Turbulence and Combustion, 1994
- Geophysical grain flowsEos, 1990