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Title: Scaling behavior in the convection-driven Brazil nut effect
Authors: Hejmady, Prakhyat
Bandyopadhyay, Ranjini
Sabhapandit, Sanjib
Dhar, Abhishek
Keywords: Granular flow
Issue Date: Dec-2012
Publisher: American Institute of Physics
Citation: Physical Review E, 2012, Vol.86, p050301
Abstract: The Brazil nut effect is the phenomenon in which a large intruder particle immersed in a vertically shaken bed of smaller particles rises to the top, even when it is much denser. The usual practice while describing these experiments has been to use the dimensionless acceleration Γ=aω2/g, where a and ω are, respectively, the amplitude and the angular frequency of vibration and g is the acceleration due to gravity. Considering a vibrated quasi-two-dimensional bed of mustard seeds, we show here that the peak-to-peak velocity of shaking v=aω, rather than Γ, is the relevant parameter in the regime where boundary-driven granular convection is the main driving mechanism. We find that the rise time τ of an intruder is described by the scaling law τ˜(v-vc)-α, where vc is identified as the critical vibration velocity for the onset of convective motion of the mustard seeds. This scaling form holds over a wide range of (a,ω), diameter, and density of the intruder
Description: Open Access
ISSN: 1539-3755
1550-2376 (Online)
Alternative Location:
Copyright: 2012 American Physical Society
Appears in Collections:Research Papers (SCM)

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