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The previously developed lattice Boltzmann – direct forcing/fictitious domain method is improved by introducing a multiple-relaxation-time model, and a detailed investigation of sedimentation of a capsule-shaped particle settling in a channel is carried out. The effects of blockage ratio on the sedimentation pattern at low Reynolds numbers are studied. It concludes that for a narrow channel, besides vertical and horizontal pattern, there exists another sedimentation pattern named inclined pattern. Through a large amount of simulations, two critical lines are obtained, which divide the three patterns based on the critical values of density ratio.
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