The Global Property of the Dilute-to-Dense Transition of Granular Flows in a 2D Channel

M. Hou (), W. Chen1, Z. Peng, T. Zhang, K. Lu and C.K. Chan
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M. Hou: Chinese Academy of Sciences, Institute of Physics
W. Chen1: Chinese Academy of Sciences, Institute of Physics
Z. Peng: Chinese Academy of Sciences, Institute of Physics
T. Zhang: Chinese Academy of Sciences, Institute of Physics
K. Lu: Chinese Academy of Sciences, Institute of Physics
C.K. Chan: Academia Sinica, Institute of Physics

A chapter in Traffic and Granular Flow ’03, 2005, pp 559-567 from Springer

Abstract: Summary The dilute-to-dense transition of granular flow of particle size d 0 is studied experimentally in a two dimensional channel (width D) with confined exit (width d). It is found that there exists a maximum inflow rate Q c, above which the outflow changes from dilute to dense and the outflow rate Q(t) drops abruptly from Q c to a dense flow rate Q d. The re-scaled critical rate $$ D/d_0 $$ is found to be a function of a scaling variable λ only, i.e. q c ∼ F(λ), and $$ \lambda \equiv \frac{d} {{d_0 }}\frac{d} {{D - d}} $$ . This form of λ suggests that the dilute-to-dense transition is a global property of the flow; unlike the jamming transition, which depends only on $$ \frac{d} {{d_0 }} $$ . The transition is found to occur when the area fraction of particles near the exit reaches a critical value 0.65±0.03.

Keywords: granular flow; scaling law; phase transition; hopper flow (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/3-540-28091-X_57

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