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Flow patterns in the sedimentation of an elliptical particle

Published online by Cambridge University Press:  14 April 2009

ZHENHUA XIA
Affiliation:
State Key Laboratory for Turbulence & Complex Systems, CAPT and CCST, College of Engineering, Peking University, Beijing, China Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA
KEVIN W. CONNINGTON
Affiliation:
Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA
SAIKIRAN RAPAKA
Affiliation:
Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA
PENGTAO YUE
Affiliation:
Department of Chemical and Biological Engineering and Department of Mathematics, University of British Columbia, Vancouver, BCCanadaV6T 1Z3
JAMES J. FENG
Affiliation:
Department of Chemical and Biological Engineering and Department of Mathematics, University of British Columbia, Vancouver, BCCanadaV6T 1Z3
SHIYI CHEN*
Affiliation:
State Key Laboratory for Turbulence & Complex Systems, CAPT and CCST, College of Engineering, Peking University, Beijing, China Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA
*
Email address for correspondence: saikiran@jhu.edu, syc@jhu.edu

Abstract

We study the dynamics of a single two-dimensional elliptical particle sedimenting in a Newtonian fluid using numerical simulations. The main emphasis in this work is to study the effect of boundaries on the flow patterns observed during sedimentation. The simulations were performed using a multi-block lattice Boltzmann method as well as a finite-element technique and the results are shown to be consistent. We have conducted a detailed study on the effects of density ratio, aspect ratio and the channel blockage ratio on the flow patterns during sedimentation. As the channel blockage ratio is varied, our results show that there are five distinct modes of sedimentation: oscillating, tumbling along the wall, vertical sedimentation, horizontal sedimentation and an inclined mode where the particle sediments with a non-trivial orientation to the vertical. The inclined mode is shown to form a smooth bridge between the vertical and horizontal modes of sedimentation. For narrow channels, the mode of sedimentation is found to be sensitively dependent on the initial orientation of the particle. We present a phase diagram showing the transitions between the various modes of sedimentation with changing blockage ratio of the channel.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

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