A second-order non-local model for granular flows
<jats:p>We determine a constitutive equation for developed three-dimensional granular flows based on a series of discrete element method simulations. In order to capture non-local phenomena, normal stress differences, and secondary flows, we extend a previously proposed granular temperature-se...
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| Format: | Article |
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Frontiers Media SA
2023
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| Online Access: | https://hdl.handle.net/1721.1/147191 |
| _version_ | 1826198854363512832 |
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| author | Kim, Seongmin Kamrin, Ken |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Kim, Seongmin Kamrin, Ken |
| author_sort | Kim, Seongmin |
| collection | MIT |
| description | <jats:p>We determine a constitutive equation for developed three-dimensional granular flows based on a series of discrete element method simulations. In order to capture non-local phenomena, normal stress differences, and secondary flows, we extend a previously proposed granular temperature-sensitive rheological model by considering Rivlin-Ericksen tensors up to second order. Three model parameters are calibrated with the inertial number and a dimensionless granular temperature. We validate our model by running finite difference method simulations of inclined chute flows. The model successfully predicts the velocity and stress fields in this geometry, including secondary vortical flows that previous first-order models could not predict and slow creeping zones that local models miss. It simultaneously captures the non-trivial variation among diagonal components of the stress tensor throughout the domain.</jats:p> |
| first_indexed | 2024-09-23T11:10:43Z |
| format | Article |
| id | mit-1721.1/147191 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T11:10:43Z |
| publishDate | 2023 |
| publisher | Frontiers Media SA |
| record_format | dspace |
| spelling | mit-1721.1/1471912023-01-19T03:32:57Z A second-order non-local model for granular flows Kim, Seongmin Kamrin, Ken Massachusetts Institute of Technology. Department of Mechanical Engineering Physical and Theoretical Chemistry General Physics and Astronomy Mathematical Physics Materials Science (miscellaneous) Biophysics <jats:p>We determine a constitutive equation for developed three-dimensional granular flows based on a series of discrete element method simulations. In order to capture non-local phenomena, normal stress differences, and secondary flows, we extend a previously proposed granular temperature-sensitive rheological model by considering Rivlin-Ericksen tensors up to second order. Three model parameters are calibrated with the inertial number and a dimensionless granular temperature. We validate our model by running finite difference method simulations of inclined chute flows. The model successfully predicts the velocity and stress fields in this geometry, including secondary vortical flows that previous first-order models could not predict and slow creeping zones that local models miss. It simultaneously captures the non-trivial variation among diagonal components of the stress tensor throughout the domain.</jats:p> 2023-01-18T16:50:33Z 2023-01-18T16:50:33Z 2023-01-17 Article http://purl.org/eprint/type/JournalArticle 2296-424X https://hdl.handle.net/1721.1/147191 Kim, Seongmin and Kamrin, Ken. 2023. "A second-order non-local model for granular flows." 11. 10.3389/fphy.2023.1092233 Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/ application/pdf Frontiers Media SA Frontiers |
| spellingShingle | Physical and Theoretical Chemistry General Physics and Astronomy Mathematical Physics Materials Science (miscellaneous) Biophysics Kim, Seongmin Kamrin, Ken A second-order non-local model for granular flows |
| title | A second-order non-local model for granular flows |
| title_full | A second-order non-local model for granular flows |
| title_fullStr | A second-order non-local model for granular flows |
| title_full_unstemmed | A second-order non-local model for granular flows |
| title_short | A second-order non-local model for granular flows |
| title_sort | second order non local model for granular flows |
| topic | Physical and Theoretical Chemistry General Physics and Astronomy Mathematical Physics Materials Science (miscellaneous) Biophysics |
| url | https://hdl.handle.net/1721.1/147191 |
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