Continuum modelling and simulation of granular flows through their many phases
Author(s)
Dunatunga, Sachith Anurudde; Kamrin, Kenneth N![Thumbnail](/bitstream/handle/1721.1/107838/Kamrin_Continuum%20modelling.pdf.jpg?sequence=4&isAllowed=y)
DownloadKamrin_Continuum modelling.pdf (2.125Mb)
OPEN_ACCESS_POLICY
Open Access Policy
Creative Commons Attribution-Noncommercial-Share Alike
Terms of use
Metadata
Show full item recordAbstract
We propose and numerically implement a constitutive framework for granular media that allows the material to traverse through its many common phases during the flow process. When dense, the material is treated as a pressure-sensitive elasto-viscoplastic solid obeying a yield criterion and a plastic flow rule given by the μ(I)
inertial rheology of granular materials. When the free volume exceeds a critical level, the material is deemed to separate and is treated as disconnected, stress-free media. A material point method (MPM) procedure is written for the simulation of this model and many demonstrations are provided in different geometries, which highlight the ability of the numerical model to handle transitions through dense and disconnected states. By using the MPM framework, extremely large strains and nonlinear deformations, which are common in granular flows, are representable. The method is verified numerically and its physical predictions are validated against many known experimental phenomena, such as Beverloo’s scaling in silo flows, jointed power-law scaling of the run-out distance in granular-column-collapse problems, and various known behaviours in inclined chute flows.
Date issued
2015-08Department
Massachusetts Institute of Technology. Department of Mechanical EngineeringJournal
Journal of Fluid Mechanics
Publisher
Cambridge University Press
Citation
Dunatunga, Sachith, and Ken Kamrin. “Continuum Modelling and Simulation of Granular Flows through Their Many Phases.” Journal of Fluid Mechanics 779 (August 18, 2015): 483–513.
Version: Author's final manuscript
ISSN
0022-1120
1469-7645