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Sediment transport in high‐speed flows over a fixed bed: 2. Particle impacts and abrasion prediction
Authors:Christian Auel  Ismail Albayrak  Tetsuya Sumi  Robert M Boes
Affiliation:1. ILF Consulting Engineers, Rum/Innsbruck, Austria (formerly 2 and 3);2. Laboratory of Hydraulics, Hydrology and Glaciology, ETH Zurich, Zurich, Switzerland;3. Water Resources Research Center, Disaster Prevention Research Institute, Kyoto University, Uji, Japan
Abstract:Single bed load particle impacts were experimentally investigated in supercritical open channel flow over a fixed planar bed of low relative roughness height simulating high‐gradient non‐alluvial mountain streams as well as hydraulic structures. Particle impact characteristics (impact velocity, impact angle, Stokes number, restitution and dynamic friction coefficients) were determined for a wide range of hydraulic parameters and particle properties. Particle impact velocity scaled with the particle velocity, and the vertical particle impact velocity increased with excess transport stage. Particle impact and rebound angles were low and decreased with transport stage. Analysis of the particle impacts with the bed revealed almost no viscous damping effects with high normal restitution coefficients exceeding unity. The normal and resultant Stokes numbers were high and above critical thresholds for viscous damping. These results are attributed to the coherent turbulent structures near the wall region, i.e. bursting motion with ejection and sweep events responsible for turbulence generation and particle transport. The tangential restitution coefficients were slightly below unity and the dynamic friction coefficients were lower than for alluvial bed data, revealing that only a small amount of horizontal energy was transferred to the bed. The abrasion prediction model formed by Sklar and Dietrich in 2004 was revised based on the new equations on vertical impact velocity and hop length covering various bed configurations. The abrasion coefficient kv was found to be vary around kv ~ 105 for hard materials (tensile strength ft > 1 MPa), one order of magnitude lower than the value assumed so far for Sklar and Dietrich's model. Copyright © 2017 John Wiley & Sons, Ltd.
Keywords:abrasion prediction model  fluvial bedrock erosion  high‐speed flow  laboratory flume  particle impact
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