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Convection in three-dimensional vibrofluidized granular beds

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posted on 03.10.2013, 12:41 authored by Harish Viswanathan, Nadeem A. Sheikh, Ricky D. Wildman, Jonathan Huntley
We study convective motion in vertically vibrated three-dimensional granular beds by comparing the predictions of a model based on a hydrodynamic description to Navier–Stokes order with experimental results obtained using positron emission particle tracking (PEPT). The three-dimensional conservation equations relating mass, momentum and energy are solved using the finite element (FE) method for a viscous vibrofluidized bed by using only observable system parameters such as particle number, size, mass and coefficients of restitution. The mean velocity profiles from the viscous model show reasonable agreement with the experimental results at relatively low altitudes for the range of experimental values studied, though the velocity fields at higher altitudes were systematically underestimated by the model. We confirm that the convection rolls are influenced by the sidewall coefficient of restitution and demonstrate the scaling relationships that operate, where increasing amplitude of vibration leads to a reduction in the angular velocity of the rolls.

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Citation

VISWANATHAN, H. ... et al., 2011. Convection in three-dimensional vibrofluidized granular beds. Journal of Fluid Mechanics, 682, pp. 185 - 212.

Publisher

© Cambridge University Press

Version

VoR (Version of Record)

Publication date

2011

Notes

This article was published in the Journal of Fluid Mechanics [© Cambridge University Press] and is available online at http://journals.cambridge.org/

ISSN

0022-1120

Language

en

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