Nonlocal modeling of granular flows down inclines
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | en_US |
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Royal Society of Chemistry
2017
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| Online Access: | http://hdl.handle.net/1721.1/110531 https://orcid.org/0000-0002-5154-9787 |
| _version_ | 1811071125236482048 |
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| author | Henann, David L. Kamrin, Kenneth N |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Henann, David L. Kamrin, Kenneth N |
| author_sort | Henann, David L. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T08:46:25Z |
| format | Article |
| id | mit-1721.1/110531 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:46:25Z |
| publishDate | 2017 |
| publisher | Royal Society of Chemistry |
| record_format | dspace |
| spelling | mit-1721.1/1105312022-10-25T05:21:08Z Nonlocal modeling of granular flows down inclines Henann, David L. Kamrin, Kenneth N Massachusetts Institute of Technology. Department of Mechanical Engineering Kamrin, Kenneth N 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. National Science Foundation (U.S.) (NSF-CBET-1253228) 2017-07-07T15:12:53Z 2017-07-07T15:12:53Z 2014-10 2014-08 Article http://purl.org/eprint/type/JournalArticle 1744-683X 1744-6848 http://hdl.handle.net/1721.1/110531 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 https://orcid.org/0000-0002-5154-9787 en_US http://dx.doi.org/10.1039/c4sm01838a Soft Matter Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Royal Society of Chemistry arXiv |
| spellingShingle | Henann, David L. Kamrin, Kenneth N Nonlocal modeling of granular flows down inclines |
| title | Nonlocal modeling of granular flows down inclines |
| title_full | Nonlocal modeling of granular flows down inclines |
| title_fullStr | Nonlocal modeling of granular flows down inclines |
| title_full_unstemmed | Nonlocal modeling of granular flows down inclines |
| title_short | Nonlocal modeling of granular flows down inclines |
| title_sort | nonlocal modeling of granular flows down inclines |
| url | http://hdl.handle.net/1721.1/110531 https://orcid.org/0000-0002-5154-9787 |
| work_keys_str_mv | AT henanndavidl nonlocalmodelingofgranularflowsdowninclines AT kamrinkennethn nonlocalmodelingofgranularflowsdowninclines |