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Convection in three-dimensional vibrofluidized granular beds

Published online by Cambridge University Press:  01 August 2011

H. VISWANATHAN ,
N. A. SHEIKH ,
R. D. WILDMAN  and
J. M. HUNTLEY
H. VISWANATHAN*
Affiliation:
Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough, Leicestershire LE11 3TU, UK
N. A. SHEIKH
Affiliation:
Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough, Leicestershire LE11 3TU, UK
R. D. WILDMAN
Affiliation:
Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough, Leicestershire LE11 3TU, UK
J. M. HUNTLEY
Affiliation:
Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough, Leicestershire LE11 3TU, UK
*
†Email address for correspondence: [email protected]
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Abstract

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.

JFM classification

Multiphase and Particle-laden Flows: Fluidized beds Granular media: Granular media Rarefied Gas Flow: Kinetic theory
Type
Papers
Information
Journal of Fluid Mechanics , Volume 682 , 10 September 2011 , pp. 185 - 212
Copyright
Copyright © Cambridge University Press 2011

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References

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