Nonlocal modeling of granular flows down inclines
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Kamrin_Nonlocal modeling.pdf
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Author(s)
Henann, David L.
Kamrin, Kenneth N
Date Issued
October 2014
Journal
Soft Matter
Publisher
Royal Society of Chemistry
Citation
Kamrin, Ken and Henann, David L. “Nonlocal Modeling of Granular Flows down Inclines.” Soft Matter 11, 1 (2015): 179–185 © 2015 The Royal Society of Chemistry
Version
Original manuscript
Abstract
Flows of granular media down a rough inclined plane demonstrate a number of nonlocal phenomena. We apply the recently proposed nonlocal granular fluidity model to this geometry and find that the model captures many of these effects. Utilizing the model's dynamical form, we obtain a formula for the critical stopping height of a layer of grains on an inclined surface. Using an existing parameter calibration for glass beads, the theoretical result compares quantitatively to existing experimental data for glass beads. This provides a stringent test of the model, whose previous validations focused on driven steady-flow problems. For layers thicker than the stopping height, the theoretical flow profiles display a thickness-dependent shape whose features are in agreement with previous discrete particle simulations. We also address the issue of the Froude number of the flows, which has been shown experimentally to collapse as a function of the ratio of layer thickness to stopping height. While the collapse is not obvious, two explanations emerge leading to a revisiting of the history of inertial rheology, which the nonlocal model references for its homogeneous flow response.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1039/c4sm01838a
