1. Role of viscosity in macroscopic description of cluster formation in granular flow.
- Author
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Suzuki, Kojiro
- Subjects
- *
GRANULAR flow , *FLUID dynamics , *VISCOSITY , *GLASS beads , *NUMERICAL analysis , *ENTROPY - Abstract
The numerical analysis was made to simulate the cluster formation in granular flows, which was seen on a sheet of free-falling small glass beads, in a framework of the macroscopic fluid dynamics using the Compressible and Non-Expanding (CNE) fluid model developed by the author. In the CNE fluid model, the resistance against compression is represented by the pressure that is given as a function of density. Introducing two different paths for the change in the pressure and the density, that is, the irreversible compression and the elastic unloading/re-compression, and setting the speed of sound in the latter to be much higher than that in the former, almost monotonic increase in the density is described, because the density decrease in the unloading process becomes small. In the two-dimensional hypothetical problem, the stripe pattern was successfully simulated solving the Euler or Navier-Stokes analyses with the CNE fluid model. The mechanism of the pattern formation was considered in terms of the entropy change in time and space. The roles of the pressure and the viscosity in the formation of the stripe pattern were also investigated. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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