Granular flows continue to be a complex problem in nature and industrial sectors where solid particles exhibit solid, liquid, and gaseous behavior in a manner which is often unpredictable locally or globally. In tribology, they have also been proposed as lubricants because of their liquid-like behavior in sliding contacts, and due to their ability to carry loads and accommodate surface velocities. The present work attempts to model a granular Couette flow in an annular shear cell using a lattice-based cellular automata (CA) computational modeling approach. The CA framework has the flexibility to employ rule-based mathematics and/or first-principle physics to rapidly model physical processes. The model developed in this work incorporates dissipative effects due to friction between particles and boundaries, in addition to particle spin. This new model also includes a rigorous treatment of boundary-particle interactions. Additional work has been done to account for the transfer of momentum through particle chains, allowing for the modeling of transitional granular flows, which consist of both kinetic and contact flow regimes.
A Friction Inclusive Cellular Automata Approach for Modeling Kinetic and Transitional Granular Flows
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Marinack, MC, Jr., & Higgs, CF, III. "A Friction Inclusive Cellular Automata Approach for Modeling Kinetic and Transitional Granular Flows." Proceedings of the ASME/STLE 2011 International Joint Tribology Conference. ASME/STLE 2011 Joint Tribology Conference. Los Angeles, California, USA. October 24–26, 2011. pp. 381-383. ASME. https://doi.org/10.1115/IJTC2011-61223
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