A second-order non-local model for granular flows
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fphy-11-1092233.pdf
Size
5.99 MB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Kim, Seongmin
Kamrin, Ken
Date Issued
January 17, 2023
Publisher
Frontiers Media SA
Citation
Kim, Seongmin and Kamrin, Ken. 2023. "A second-order non-local model for granular flows." 11.
Version
Final published version
Abstract
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.
Subjects
Physical and Theoretical Chemistry
General Physics and Astronomy
Mathematical Physics
Materials Science (miscellaneous)
Biophysics
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution 4.0 International license
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.3389/fphy.2023.1092233
