臺灣博碩士論文加值系統

毛細管電泳(Capillary Zone Electrophoresis，簡稱CZE)為近年來迅速發展的一種分析方法。在外加直流電場中，因毛細管電泳之幾何外形以及分析物的電荷大小、體積、形狀、電荷密度、質量都會造成不同的移動速度，而影響分離的效率。為了往後研究不同毛細管電泳之幾何外形，在處理複雜、不規則邊界時，能有比較精準的結果，所以使用有限元素法(Finite Element method)來計算數值。而在毛細管電泳數值模型中，一般常用來計算溶質在毛細管電泳晶片中的流動，通常是使用濃度方程式，但使用濃度方程式無法清楚描述不同帶電性質溶質離子的運動現象，所以本研究採用粒子模擬法(Particle-In-Cell method)，來瞭解微管道內不同帶電性質溶質離子之運動現象。由模擬結果顯示毛細管壁面電位，將會影響不同帶電離子在電雙層中之運動現象。帶正電之離子由於受到壁面負電位之影響，將會被吸引至壁面附近，而負離子則會被排斥，被推出電雙層外。且帶正電離子之遷移速度會大於帶負電離子遷移速度，會較早進入分離管道。

Capillary Zone Electrophoresis (CZE) is a kind of analysis method that develops rapidly in recent years. In external electric field, the geometry of the CZE system and analysis of charge size, volume, shape, density, and mass will cause the different velocities and further influence the separation efficiency. In order to get the more accurate result for studying different geometry and complicated, irregular boundaries, this study uses the Finite Element Method (FEM) in the computation. Traditional numerical schemes use the concentration diffusion equation to simulate the solute concentration distribution in CZE system. However, it can’t describe the different motions of the differently charged solute ionic migration. This study uses the Particle-In-Cell (PIC) method to understand the different motions of the differently charged solute ions in the micro-channel. The results show that the zeta potential on the channel wall affects the different motions of the differently charged ions in the Electrical Double Layer (EDL). The positive ions were attracted to the channel wall under the influence of the zeta potential. The negative ions were repelled and they were pushed out of the EDL. Furthermore, it is shown that the positive ions migrate more rapidly than the negative ions in the injection process, and the positive ions enter the separation channel faster than the negative ones.

摘 要 I
Abstract II
誌 謝 III
目 錄 IV
圖 目 錄 VII
符 號 說 明 X
第一章 緒論 1
1-1 前言 1
1-2 研究動機與目的 4
1-3文獻回顧 6
1-4 本文架構 9
第二章 理論分析 10
2-1 基本假設 10
2-2 統御方程式 11
2-3 無因次分析 13
2-4 電雙層理論 15
2-5 解電雙層內部分布之Poisson-Boltzmann方程式 17
2-6 電泳(Electrophoresis) 19
2-7 電滲流現象 20
2-8 帶電離子遷移率 22
2-9 粒子模擬法(Particle-In-Cell method，簡稱PIC) 25
第三章 數值方法 26
3-1有限元素簡介 26
3-2 數值流程 29
3-2-1 將帶電溶質離子之電荷分布至所在元素中的節點上並計算其電荷密度 30
3-2-2 電場方程式之離散 32
3-2-3 電雙層分布方程式之離散 33
3-2-4 電滲流流場方程式離散 35
3-2-5 計算帶電溶質離子受力移動後之新位置 41
第四章 結果與討論 44
4-1 毛細管電泳晶片之幾何外形與網格配置 44
4-2 物理性質 45
4-3 注入過程之結果 46
4-4 分離過程之結果 49
第五章 結論與未來發展 51
5-1 結論 51
5-2 未來發展 52
參考文獻 53
附 錄 A 83
附 錄 B 87
附 錄 C 89

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