本論文為研究二平行板間以壓力及電滲來做為流體驅動力之微流動現象，主要目的是在探討速度滑移對在平行板微流道內牛頓流體受到混合電滲和壓力驅動的微熱流之影響，研究中分別對四個重要參數之效應進行討論，這些參數包掛括焦耳熱參數(焦耳熱與壁面熱通量的比值)、無因次化壓力梯度、流道半高與德拜長度之比值、以及無因次化滑移長度。本研究隨著以上參數搭配滑移長度之條件的不同得到四個主要物理量之結果，分別為速度分布、溫度分布、摩擦係數、及紐塞爾數，在合理的邊界條件下求解所得之重要結果簡述如下。
當流道半高與德拜長度之比值增加時，速度分布也隨之增加；施加無因次化滑移長度會促進速度分布，無因次化壓力梯度和無因次化滑移長度的減少皆會導致無因次化速度隨之遞減。當流道半高與德拜長度之比值遞減時，摩擦係數也隨之遞減；隨著無因次化滑移長度遞減，摩擦係數隨之遞增。流道半高與德拜長度之比值影響無因次化溫度分布的結果取決於表面加熱或冷卻，無因次化壓力梯度減少，無因次化溫度也減少；無因次化焦耳熱參數增加時，無因次化溫度降低。隨無因次化焦耳熱遞增，紐塞爾數隨之遞減；當無因次化滑移長度增加，紐塞爾數隨之減少。

This paper mainly discusses the effect of pressure and electroosmosis fluid driving on the heat transfer between flat plates. The main purpose is to discuss the effect of velocity slip on the micro-heat flow of Newtonian fluids subjected to mixed electro-osmotic and pressure-driven flow in parallel plate microchannels. We give different values for dimensionless Joule heating parameters (ratio of Joule heating to surface heat flux), dimensionless pressure gradient, the ratio of half channel width to Debye-length, and dimensionless velocity slip. In this study, the results of four different projects are obtained with the above parameters with different conditions of the slip length. The result shows in the following part.
The dimensionless velocity distribution increases when the ratio of half channel width to Debye-length increases. Applying a dimensionless slip length promotes the velocity distribution. The dimensionless velocity distribution reduces when the ratio of half channel width to Debye-length reduces. The result of dimensionless velocity distribution depends on surface heating or cooling. While dimensionless temperature value reducing, dimensionless pressure gradient reduces. And dimensionless temperature reduces when dimensionless Joule heating parameters increases. The Nusselt number reduces when dimensionless Joule heating parameters increases. The Nusselt number reduces when dimensionless slip length increases. Friction coefficient reduces when the ratio of half channel width to Debye-length reduces. Friction coefficient increases when dimensionless slip length reduces.

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 研究背景與目的.......................1
1.2.1 微流道中電滲流的形成及效應..........1
1.2.2 電雙層的形成.......................2
1.2.3 滑移現象的產生.....................2
1.3 文獻回顧.............................2
1.4 論文架構.............................4
第二章 理論分析...........................5
2.1 物理模型.............................5
2.2 基本假設.............................5
2.3 統御方程式與邊界條件..................5
2.3.1 波松-波茲曼方程式（Poisson-Boltzmann equation）..................5
2.3.2 柯西動量方程式（Cauchy momentum equation）.......................6
2.3.3 能量方程式（Energy equation）...................................6
第三章 求解方法..........................7
3.1 電位場..............................7
3.2 速度場..............................8
3.3 溫度場.............................10
第四章 結果與討論.......................12
4.1 各參數對無因次化速度分布之影響.............................12
4.1.1 流道半高與德拜長度之比值對速度分布之效應..................12
4.1.2 壓力梯度對速度分布之效應................................12
4.1.3 無因次化滑移長度對速度分布之效應.........................13
4.2 各參數對無因次化溫度分布之影響.............................14
4.2.1 流道半高與德拜長度之比值對溫度分布之效應..................14
4.2.2 壓力梯度對溫度分布之效應................................14
4.2.3 無因次化焦耳熱參數對溫度分布之效應.......................15
4.3 各參數對紐塞爾數之影響....................................16
4.3.1 流道半高與德拜長度之比值對紐塞爾數之效應..................16
4.3.2 無因次化滑移長度對紐塞爾數之效應.........................16
4.3.3 無因次化焦耳熱參數對紐塞爾數之效應.......................16
4.3.4 綜合以上參數對紐塞爾數之效應.............................17
4.4 各參數對摩擦係數之影響....................................17
4.4.1 流道半高與德拜長度之比值對摩擦係數之效應..................17
4.4.2無因次化滑移長度對紐塞爾數之效應..........................17
第五章 結論與未來展望.........................................18
5.1 結論....................................................18
5.1.1 速度分布...............................................18
5.1.2 溫度分布...............................................18
5.1.3 紐塞爾數...............................................19
5.1.4 摩擦係數...............................................19
5.2 未來展望.................................................20
參考文獻.....................................................21
附錄.........................................................26
Extended Abstract............................................55

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