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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 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) |
Files in This Item:
File | Description | Size | Format | |
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2012_PhysRevE._Vol.86._p050301.pdf Restricted Access | Open Access | 960.97 kB | Adobe PDF | View/Open Request a copy |
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