A Taylor vortex analogy in granular flows

Stephen L. Conway, Troy Shinbrot and Benjamin J. Glasser ()
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Stephen L. Conway: The State University of New Jersey
Troy Shinbrot: The State University of New Jersey
Benjamin J. Glasser: The State University of New Jersey

Nature, 2004, vol. 431, issue 7007, 433-437

Abstract: Abstract Fluids sheared between concentric rotating cylinders undergo a series of three-dimensional instabilities. Since Taylor's archetypal 1923 study1, these have proved pivotal to understanding how fluid flows become unstable and eventually undergo transitions to chaotic or turbulent states2,3,4,5. In contrast, predicting the dynamics of granular systems—from nano-sized particles to debris flows—is far less reliable. Under shear these materials resemble fluids, but solid-like responses, non-equilibrium structures and segregation patterns develop unexpectedly6,7,8,9. As a result, the analysis of geophysical events10 and the performance of largely empirical particle technologies might suffer11,12. Here, using gas fluidization to overcome jamming6,13, we show experimentally that granular materials develop vortices consistent with the primary Taylor instability in fluids. However, the vortices observed in our fluidized granular bed are unlike those in fluids in that they are accompanied by novel mixing–segregation transitions. The vortices seem to alleviate increased strain by spawning new vortices, directly modifying the scale of kinetic interactions. Our observations provide insights into the mechanisms of shear transmission by particles and their consequent convective mixing.

Date: 2004
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DOI: 10.1038/nature02901

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