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Periodic saltation over hydrodynamically rough beds: aeolian to aquatic

Published online by Cambridge University Press:  30 November 2015

Diego Berzi ,
James T. Jenkins  and
Alexandre Valance
Diego Berzi*
Affiliation:
Department of Civil and Environmental Engineering, Politecnico di Milano, 20133 Milan, Italy
James T. Jenkins
Affiliation:
School of Civil and Environmental Engineering, Cornell University, Ithaca, NY 14850, USA
Alexandre Valance
Affiliation:
Institut de Physique de Rennes, CNRS UMR 6251, Université de Rennes I, 35042 Rennes, France
*
†Email address for correspondence: diego.berzi@polimi.it
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Abstract

We determine approximate analytical solutions for average periodic trajectories of particles that are accelerated by the turbulent shearing of a fluid between collisions with a hydrodynamically rough bed. We indicate how the viscosity of the fluid may influence the collisions with the bed. The approximate solutions compare well with periodic solutions for average periodic trajectories over rigid bumpy and erodible beds that are generated numerically. The analytic solutions permit the determination of the relations between the particle flux and the strength of the shearing flow over a range of particle and fluid properties that vary between those for sand in air and sand in water.

JFM classification

Geophysical and Geological Flows: Geophysical and Geological Flows Multiphase and Particle-laden Flows: Particle/fluid flow Geophysical and Geological Flows: Sediment transport
Type
Papers
Information
Journal of Fluid Mechanics , Volume 786 , 10 January 2016 , pp. 190 - 209
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Copyright
© 2015 Cambridge University Press 

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