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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/75179

    Title: Electrophoresis of an arbitrarily oriented toroid in an unbounded electrolyte solution
    Authors: Hsu, Jyh-Ping;Chou, Chih-Hao;Kuo, Chao-Chung;Tseng, Shiojenn;Wu, R.M.
    Contributors: 淡江大學數學學系;淡江大學化學工程與材料工程學系
    Keywords: Electrophoresis;Toroid;Arbitrary orientation
    Date: 2011-02
    Issue Date: 2012-03-13 14:40:03 (UTC+8)
    Publisher: Amsterdam: Elsevier BV
    Abstract: The electrophoresis of a non-conducting rigid toroid in an unbounded Newtonian electrolyte solution having an arbitrary orientation is modeled theoretically under the condition of low surface potential. In particular, the influence of the orientation angle, defined as the angle between the applied electric field and the center line of the toroid, on its electrophoretic behavior as the thickness of double layer varies is investigated. The results of numerical simulation reveal that both the thickness of double layer and the orientation angle can influence appreciably the mobility of the toroid. In general, for a fixed orientation, the mobility of the toroid increases with decreasing double layer thickness, and for a fixed double layer thickness, the scaled electrophoresis mobility increases with increasing orientation angle. If the double layer is infinitely thin, then the present result reduces to that predicted by Smoluchowski, that is, the scaled electrophoretic mobility of the toroid is unity, and is not influenced by its shape. On the other hand, if it is infinitely thick, then the present result follows the same trend as that predicted by Henry, that is, the electrophoretic mobility of the toroid depends highly on its form effect, and the thicker the double layer the smaller that mobility. If the thickness of double layer is comparable to the radius of a toroid, the variation in the orientation angle can lead to as much as 40% difference in the mobility.
    Relation: Colloids and Surfaces B: Biointerfaces 82(2), pp.505–512
    DOI: 10.1016/j.colsurfb.2010.10.009
    Appears in Collections:[Graduate Institute & Department of Chemical and Materials Engineering] Journal Article
    [Graduate Institute & Department of Mathematics] Journal Article

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