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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41684


    Title: Drag on two nonuniformly structured flocs moving along the axis of a cylindrical tube
    Authors: Hsu, Jyh-ping;Yeh, Shu-jen;曾琇瑱;Tseng, Shio-jenn
    Contributors: 淡江大學數學學系
    Keywords: Drag on two flocs;Nonuniformly structured;Boundary effect;Flocs in cylindrical tube
    Date: 2007-06-01
    Issue Date: 2010-01-28
    Publisher: Springer
    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.
    Relation: Colloid Polymer Science 285(9), pp.985-998
    DOI: 10.1007/s00396-007-1644-6
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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