Sedimentation and convective flow in suspensions of spherical particles |
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| Affiliation: | 1. Singapore Institute of Manufacturing Technology, 71 Nanyang Drive, 638075, Singapore;2. Singapore Centre for 3D Printing, School of Mechanical and Aerospace Engineering, Nanyang Technological University, HW1-01-05, 2A Nanyang Link, 637372, Singapore;1. Center for Clinical Research on Neurological Diseases, The First Affiliated Hospital, Dalian Medical University, Dalian, China;2. Liaoning Provincial Key Laboratory for Research on the Pathogenic Mechanisms of Neurological Diseases, The First Affiliated Hospital, Dalian Medical University, Dalian, China |
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| Abstract: | We consider spherical particles immersed in an incompressible, viscous fluid and subject to applied forces. Averaging over a statistical distribution function, which is assumed known, we derive macroscopic equations for the mean convective flow velocity of the suspension and the mean particle current density. The two equations are coupled and involve four response kernels of short range. We show that two of the kernels are related by symmetry. |
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