Drag on two nonuniformly structured flocs moving along the axis of a cylindrical tube
Resource
Colloid and Polymer Science 285 (9): 985-998
Journal
Colloid and Polymer Science
Journal Volume
285
Journal Issue
9
Pages
985-998
Date Issued
2007
Date
2007
Author(s)
Abstract
The boundary effect on the drag on two identical, nonuniformly structured flocs moving along the axis of a cylindrical tube filled with a Newtonian fluid is investigated at a small to medium larger Reynolds number. A two-layer model is adopted to simulate various possible structures of a floc, and the flow field inside is described by Darcy-Brinkman model. The results of numerical simulation reveal that a convective flow is present in the rear region of a floc when Reynolds number is on the order of 40. The presence of the tube wall and/or the porous structure of a floc has the effect of reducing that convective flow. For a fixed level of the volume-average permeability of a floc, the influence of the tube wall on the drag depends upon floc structure; the influence on a nonuniformly structured floc is more significant than that on a uniformly structured floc. The more nonuniform the floc structure, the more appreciable the deviation of the drag coefficient-Reynolds number curve from a Stokes'-law-like relation becomes. The smaller the volume-average permeability of a floc and/or the smaller the separation distance between the two flocs, the greater is the deviation, but the presence of the tube wall has the effect of reducing that deviation. © Springer-Verlag 2007.
Type
journal article
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