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Impact of collisional versus viscous dissipation on flow instabilities in gas–solid systems

Published online by Cambridge University Press:  20 June 2013

Xiaolong Yin ,
John R. Zenk ,
Peter P. Mitrano  and
Christine M. Hrenya
Xiaolong Yin
Affiliation:
Petroleum Engineering Department, Colorado School of Mines, Golden, CO 80401, USA
John R. Zenk
Affiliation:
Department of Chemical and Biological Engineering, University of Colorado, Boulder, CO 80309, USA
Peter P. Mitrano
Affiliation:
Department of Chemical and Biological Engineering, University of Colorado, Boulder, CO 80309, USA
Christine M. Hrenya*
Affiliation:
Department of Chemical and Biological Engineering, University of Colorado, Boulder, CO 80309, USA
*
†Email address for correspondence: hrenya@colorado.edu
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Abstract

Flow instabilities encountered in the homogeneous cooling of a gas–solid system are considered via lattice-Boltzmann simulations. Unlike previous efforts, the relative contribution of the two mechanisms leading to instabilities is explored: viscous dissipation (fluid-phase effects) and collisional dissipation (particle-phase effects). The results indicate that the instabilities encountered in the gas–solid system mimic those previously observed in their granular (no fluid) counterparts, namely a velocity vortex instability that precedes in time a clustering instability. We further observe that the onset of the instabilities is quicker in more dissipative systems, regardless of the source of the dissipation. Somewhat surprisingly however, a cross-over of the kinetic energy levels is observed during the evolution of the instability. Specifically, the kinetic energy of the gas–solid system is seen to become greater than that of its granular counterpart (i.e. same restitution coefficient) after the vortex instability sets in. This cross-over of kinetic energy levels between a more dissipative system (gas–solid) and a less dissipative system (granular) can be explained by the alignment of particle motion found in a vortex. Such alignment leads to a reduction in both collisional and viscous energy dissipation due to the more glancing nature of collisions.

JFM classification

Instability: Absolute/convective instability Granular media: Granular media Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 727 , 25 July 2013 , R2
Copyright
©2013 Cambridge University Press 

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Yin et al. supplementary movie

Evolution of the coarse-grained particle velocity field at three different times: ReT = 30, e = 0.8, φ = 0.2, ρp /ρg = 1000.

Download Yin et al. supplementary movie(Video)
Video 64.4 MB

Yin et al. supplementary movie

Evolution of the coarse-grained particle velocity field at three different times: ReT = 30, e = 0.8, φ = 0.2, ρp /ρg = 1000.

Download Yin et al. supplementary movie(Video)
Video 18 MB