"Onset of erosion of a granular bed in a channel driven by fluid flow" by Anyu Hong, Mingjiang Tao et al.
 

Physics

Onset of erosion of a granular bed in a channel driven by fluid flow

Document Type

Article

Abstract

We investigate the erosion threshold of a granular bed driven by a fluid flow as a function of grain size and grain roughness. Experiments are performed with a bed in an enclosed cylindrical channel under laminar flow conditions. The shear rate at threshold for a prescribed flow rate is obtained from the height of the fluid above the bed as it comes to rest, and used along with the grain size to determine the particle Reynolds number Rep. We estimate that the shear lift force acting on the granular surface is negligible over the range of Rep investigated. We calculate the critical Shields number θc given by the ratio of the viscous shear stress and the normal gravitation and buoyancy stresses at the threshold of motion. We find that bed armoring leads to a systematic significant increase in θc independent of the grain roughness. This observed increase is of the same order of magnitude as scatter reported in the literature when ?c is drawn from different data sets. While comparing similarly prepared beds with increasing particle size, we find that θc decreases systematically with Rep, in contrast with the Shields curve which is constant at low Rep. In order to understand the condition at erosion threshold, we use the condition of torque balance at threshold to determine the critical torque needed to dislodge grains due to viscous drag. This torque is found to be significantly lower than the value needed to dislodge a spherical grain on the bed surface which is fully exposed to a linear shear flow. However, further studies of the surface packing and its evolution are needed to fully understand the observed systematic dependence on the grain size and bed preparation.

Publication Title

Physics of Fluids

Publication Date

1-6-2015

Volume

27

Issue

1

First Page

1

Last Page

14

ISSN

1070-6631

DOI

10.1063/1.4905146

Keywords

laboratory procedures, gravitational force, geochemistry, granular materials, deformation, natural materials, scanning electron microscopy, flow visualization, fluid flows, laminar flows

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