2005-08-012024-05-17https://scholars.lib.ntu.edu.tw/handle/123456789/689703摘要：近幾十年來，電泳廣受各領域之實驗與理論研究者的重視。除了在傳統分析中它被作為膠體粒子表面定性的主要分析工具外，電泳在微粒之純化與分離技術中亦扮演重要的角色。以現今電泳在奈米材料與生物技術中的應用為例，包括奈米碳管與陶瓷粉粒體表面之定性分析、酵素、蛋白質或DNA等生物分子之識別與分離都與其有密切的關係。結合奈米技術，如有色電泳液在電泳顯示器(電子紙)與電泳塗裝技術的應用、與奈米複合材料之置備等，也是電泳典型的應用。雖然經典的Smoluchowski與Henry模型提供了精簡的解析式，但由於其假設過於簡化，且與實際情況往往有甚大的出入，如何適切地修正這些模型有其必要，不過，也是具挑戰的問題。幾個待探討的問題包括: 粒子的幾何形狀與帶電條件、流體性質、邊界效應、濃度效應、與電雙層極化效應等。由於所牽涉問題的複雜性，在一般條件下求解電泳的主控方程式，即使採用數值方法，亦極為困難。如何延伸傳統理論的分析以符合實際應用的狀況，進而提高理論預測的可信度與準確性，乃是現階段電泳分析的當務之急。在擬進行的三年期研究中，吾人將藉著考慮粒子朝向一相對大的圓盤表面之電泳探討邊界效應對電泳行為的影響。第一個階段<br> Abstract: Abstract In the past few decades, electrophoresis has drawn the attention of both experimentalists and theoreticians in various fields. In addition to the conventional applications in quantifying the surface properties of particles of colloidal size, it has also been used widely in separation and identification of specific entities such as enzyme, protein, and DNA. Electrophoretic displayer (e-paper) and electro-deposition are typical examples that combine electrophoresis and modern technology. Although Smoluchowski’s and Henry’s analyses lead to concise expressions that are readily applicable to experimentalists to elaborate their electrophoresis data, the assumptions made in their derivations are idealized, and can be unrealistic under typical conditions. In practice, several key factors need to be considered: the geometry and the charged conditions of an entity, the presence of a boundary, the interaction between neighboring entities, the effect of double-layer polarization, and the properties of the liquid phase. Due to the complicated nature of the governing equations of electrophoresis, however, solving them simultaneously is challenging, even numerically. In the proposed study the boundary effect of electrophoresis is investigated by considering a general particle normal to a relatively large disk, which has many applications in industry. In the first phase of the proposed study, the influence of the charged conditions of both particle and disk on the electrophoretic behavior of the former will be discussed. The electrophoresis in a viscoelastic fluid will be investigation in the second phase of the proposed study, and the effect of double-layer polarization be analyzed in the last phase of the proposed study where a general set of electrokinetic equations needs to be solved.電泳球對圓盤理論分析電泳度electrophoresissphere to disktheoretical analysiselectrophoretic mobility