Scaling behavior in convection-driven Brazil-nut effect

Details Scaling behavior in convection-driven Brazil-nut effect Scaling behavior in convection-driven Brazil-nut effect

2011-11-18

arxiv.org/abs/1111.4484v2

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 5 figures + supplementary information

Scientific paper

A striking experimental observation in vibrated granular materials is the Brazil-nut effect (BNE), where 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 \Gamma=a \omega^2/g, where a and \omega 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= a\omega, rather than \Gamma, is the relevant parameter in the regime where boundary-driven granular convection is the main driving mechanism. We find that the rise-time \tau of an intruder is described by the scaling law \tau ~ 1/(v-v_c)^2, where v_c 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,\omega), diameter and density of the intruder.

Affiliated with

Also associated with

No associations

Rating

Scaling behavior in convection-driven Brazil-nut effect does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Scaling behavior in convection-driven Brazil-nut effect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scaling behavior in convection-driven Brazil-nut effect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-514177