Interplay of air and sand: Faraday heaping unravelled

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 5, 2007, Pages

  Van Gerner, Henk Jan ^a   Van Der Hoef, Martin A ^a   Van Der Meer, Devaraj ^a   Van Der Weele, Ko ^b  

^a UNIVERSITY OF TWENTE   (Netherlands)

^b UNIVERSITY OF PATRAS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

AIR; COARSENING; COMPUTER SIMULATION; FARADAY EFFECT; SAND;

AIRFLOW; FARADAY HEAPING; GRANULAR BED; ISOBARS;

GRANULAR MATERIALS;

EID: 36749044745     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.051305     Document Type: Article

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12. Our simulations show that the precise form of the drag force is not very critical: Simulation carried out with the Ergun drag force relation led to similar results.
13. See EPAPS Document No. E-PLEEE8-76-017711 for a video of the Faraday heap during one driving cycle and for a video of the evolution of the heap pattern. For more information on EPAPS, see http://www.aip.org/pubservs/epaps.html
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21. Even if the viscosity of the fluid is reduced to zero, a small drag force acts on the particles, because part of the drag force does not depend on the viscosity, but on the pressure drop over a particle (the so-called form drag, which is included in the empirical models). However, for realistic parameters, the form drag is much smaller than the viscous drag and changing μ leads to similar results as changing the air drag factor.
22. The dimensionless acceleration Γ is important because, in a vacuum, it is the only parameter that determines the phase angle at which the granular mass detaches from and collides with the bottom of the box during a vibration cycle.
23. The simulation results of the inward motion above Γ 1.9 are very scattered (because the heap does not remain in the same position) and are therefore not shown in the plot.