臺灣博碩士論文加值系統

本研究主要計算帶電粒子於懸浮溶液中的電導度。為了得到粒子的電導度我們必須求得電位及離子密度等。而為了求得電位及離子密度我們必須要先解得在電泳問題中的方程式。當表面電位很低時，我們發現Ohshima所得到電導度值會低估實際的電導度值。而表面電位無論大小，當電雙層厚度漸薄時，粒子之電導度值均會趨近於理論值。我們也發現Maxwell關係式在高電位時並不適用我們的系統。

This paper deals with the problem of calculating the electrical conductivity of a suspension of nonconducting charged particles. For such a suspension it is shown that the contribution from each particle to the conductivity may be obtained from the forms of the electrical potential and ion densities. To obtain these forms it is necessary to solve the same set of equations as in the electrophoresis problem; namely a set of coupled differential equation. In this study, we find Ohshima’s result, which underestimate the electrical conductivity at low surface potential. We also find that the electrical conductivity of the colloid suspension approaches the theoretical value with decreasing the double layer thickness. In this study we also find that the Maxwell relation may not be applied at high surface potential.

中文摘要I
英文摘要II
目錄III
圖目錄V
第一章 緒論1
第二章 文獻回顧3
第三章 理論分析5
3.1 系統描述5
3.2 主控方程式7
3.3 邊界條件10
3.4 方程式的無因次化11
3.5 線性化方程式15
3.6 方程式的一維表示式17
3.7 電導度的推導及無因次化20
第四章 數值方法24
第五章 結果與討論30
第六章 結論32
符號說明87
參考文獻91
附錄一 電流積分推導94
附錄二 電導度的推導過程95
附錄三 簡介膠體懸浮液99

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