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Lattice Boltzmann simulations of low-Reynolds-number flow past fluidized spheres: effect of Stokes number on drag force

Published online by Cambridge University Press:  08 January 2016

Gregory J. Rubinstein ,
J. J. Derksen  and
Sankaran Sundaresan
Gregory J. Rubinstein
Affiliation:
Department of Chemical and Biological Engineering, Princeton University, Princeton, NJ 08540, USA
J. J. Derksen
Affiliation:
Department of Chemical Engineering, Delft University of Technology, 2628 BL Delft, Netherlands
Sankaran Sundaresan*
Affiliation:
Department of Chemical and Biological Engineering, Princeton University, Princeton, NJ 08540, USA
*
†Email address for correspondence: [email protected]
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Abstract

In a fluidized bed, the drag force acts to oppose the downward force of gravity on a particle, and thus provides the main mechanism for fluidization. Drag models that are employed in large-scale simulations of fluidized beds are typically based on either fixed-particle beds or the sedimentation of particles in liquids. In low-Reynolds-number ($Re$) systems, these two types of fluidized beds represent the limits of high Stokes number ($St$) and low $St$, respectively. In this work, the fluid–particle drag behaviour of these two regimes is bridged by investigating the effect of $St$ on the drag force in low-$Re$ systems. This study is conducted using fully resolved lattice Boltzmann simulations of a system composed of fluid and monodisperse spherical particles. In these simulations, the particles are free to translate and rotate based on the effects of the surrounding fluid. Through this work, three distinct regimes in the characteristics of the fluid–particle drag force are observed: low, intermediate and high $St$. It is found that, in the low-$Re$ regime, a decrease in $St$ results in a reduction in the fluid–particle drag. Based on the simulation results, a new drag relation is proposed, which is, unlike previous models, dependent on $St$.

JFM classification

Multiphase and Particle-laden Flows: Fluidized beds Multiphase and Particle-laden Flows: Particle/fluid flow Complex Fluids: Suspensions
Type
Papers
Information
Journal of Fluid Mechanics , Volume 788 , 10 February 2016 , pp. 576 - 601
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Copyright
© 2016 Cambridge University Press 

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