Self-similar velocity profiles and mass transport of grains carried by fluid through a confined channel
| Autor: | Andrew R. Barron, Bjørnar Sandnes, David W. James, Miles L. Morgan |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Fluid Flow and Transfer Processes
Physics Mechanical Engineering Gaussian Flow (psychology) Computational Mechanics Flux Mechanics Condensed Matter Physics Hagen–Poiseuille equation 01 natural sciences 010305 fluids & plasmas Volumetric flow rate Physics::Fluid Dynamics symbols.namesake Mechanics of Materials 0103 physical sciences Grain flow Gaussian function symbols 010306 general physics Bed load |
| Popis: | Confined fluid-driven granular flows are present in a plethora of natural and industrial settings, yet even the most fundamental of these is not completely understood. While widely studied grain flows such as bed load and density-matched Poiseuille flows have been observed to exhibit exponential and Bingham style velocity profiles, respectively, this work finds that a fluid-driven bed of non-buoyant grains filling a narrow horizontal channel—confined both from the sides and above—exhibits self-similar Gaussian velocity profiles. As the imposed flow rate is increased and the grain velocity increases, the Gaussian flow profiles penetrate deeper into the packing of the channel. Filling fractions were observed to be also self-similar and qualitatively consistent with granular theory relating to the viscous number I, which at a given position on the self-similar Gaussian curve is found to be generally constant regardless of the imposed flow rate or velocity magnitude. An empirical description of the flow is proposed, and local velocity and filling fraction measurements were used to obtain the local grain flux and accurately recover a total grain flow rate. |
| Databáze: | OpenAIRE |
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