Convection in three-dimensional vibrofluidized granular beds
journal contribution
posted on 03.10.2013, 12:41 authored by Harish Viswanathan, Nadeem A. Sheikh, Ricky D. Wildman, Jonathan HuntleyWe 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.
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