Title:	Scaling behavior in the convection-driven Brazil nut effect
Authors:	Hejmady, Prakhyat Bandyopadhyay, Ranjini Sabhapandit, Sanjib Dhar, Abhishek
Keywords:	Granular flow mixing segregation stratification
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
URI:	http://hdl.handle.net/2289/5388
ISSN:	1539-3755 1550-2376 (Online)
Alternative Location:	http://dx.doi.org/10.1103/PhysRevE.86.050301 http://arxiv.org/abs/1111.4484 http://adsabs.harvard.edu/abs/2012PhRvE..86e0301H
Copyright:	2012 American Physical Society
Appears in Collections:	Research Papers (SCM)

Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.