臺灣博碩士論文加值系統

本文研究電場與壓力場聯合驅動之微流道熱對流特性，並使用波以森-波茲曼方程方程式(Poission-Boltzman)、納維爾-史托克方程式（Navier-Stokes equation）與能量方程式為統御方程式並配合壁面無滑動等邊界條件，對於微流道受到各種參數影響下並配合不同的壓力驅動與電滲驅動比。
研究發現無論壓力驅動與電滲驅動比及焦熱效應影響為何，培特萊特數越大時流體無因次化平均溫度及紐賽爾數達到熱完全發展流時所需要的流道長度越短。在不考慮焦耳熱效應且受到壓力驅動影響，紐賽爾數在達到熱完全發展流時會受到黏性熱逸散效應的影響，熱完全發展紐賽爾數會發生提升的現象。而壓力幫助流體流動時，培克萊數越大對於熱完全發展紐賽爾數提升率越高；壓力阻礙流體流動時，培克萊數越大則熱完全發展紐賽爾數提升率越低。
當考慮焦耳熱效應影響時，紐賽爾數在達到熱完全發展流時有無黏性熱逸散效應對熱完全發展紐賽爾數無顯著影響。

This study is aimed to treat the problem of convective heat transfer introduced by combined electrokinetic and pressure forces in microchannels. Analytical solution are presented for a slit microchannel with constant surface temperature, taking into account the effect of joule heating and viscous dissipation for different Peclet number. First , the Poisson-Boltzmann equation is solved to obtain the electrokinetic potential. Next, the fluid velocity distribution across the channel is determined form the momentum equation. Finally, we solve the energy equation by using the integral transformation method to obtain the temperature distribution for the thermally developing flow within the microchannel. Governing parameters include the velocity scale ratio Γ ( the ratio of the pressure-driven velocity scale for Poiseuille flow to Helmhlotz - Smoluchowski velocity for electroosmotic flow i.e. ) , Joule heating parameter , Peclet number and Brinkman number . Representative results for the results for the mean fluid temperature and the local Nusselt number are presented at selected governing parameters.
The mean fluid temperature attains the fully - developed value at a smaller distance as Peclet number increases . The similar behavior is observed for the local Nusselt number.
For pure electroosmotic flow (Γ=0) , the effect viscous dissipation on the thermal transport is not important. However, for mixed electro-osmotic and pressure-driven flow , viscous dissipation plays a role in the heat transfer. When viscous dissipation is neglected (Br=0) , the local Nusselt number decreases monotonously with streamwise location to the fully developed value . On the other hand, for Br≠0 the local Nusselt number occurs a rise in the fully developed value . As compared to the effect of joule heating , the effect viscous dissipation on the thermal transport is of less importance.

中文摘要................................................................................................................i
Abstract.................................................................................................................ii
誌謝......................................................................................................................iii
目錄......................................................................................................................iv
表目錄.................................................................................................................vii
圖目錄................................................................................................................viii
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......................................................................................2
1.3 文獻回顧..................................................................................................3
1.4 論文架構..................................................................................................6
第二章 理論模式.................................................................................................7
2.1 電雙層結構之理論模型..........................................................................7
2.2 物理模型..................................................................................................8
2.3 基本假設..................................................................................................8
2.4 統御方程式及邊界條件.......................................................................................9

第三章 分析方法及驗證...................................................................................11
3.1 電位分佈……………………................................................................11
3.2 散熱結構溫度場量測............................................................................13
3.3 能量方程式求解流道內溫度場............................................................15
3.4 求解無因次化溫度................................................................................17
3.4.1求解無因次化溫度特別解 ...............................................................17
3.4.2求解無因次化溫度齊次解 ...............................................................18
3.5理論分析驗證..........................................................................................26
第四章 結果與討論...........................................................................................27
4.1 受壓力驅動及焦耳熱影響變化培特萊克數之溫度場……………....27
4.1.1 受壓力驅動及焦耳熱影響變化培特萊克數之平均溫度.................27
4.1.2 受壓力驅動及焦耳熱影響變化培特萊克數之紐塞爾數.................29
4.2 受壓力驅動及焦耳熱影響變化布林克曼數之溫度場........................32
4.2.1 受壓力驅動及焦耳熱影響變化布林克曼數之平均溫度.................32
4.2.2 受壓力驅動及焦耳熱影響變化布林克曼數之紐塞爾數..................33
4.3 受壓力驅動影響變化培特萊克數及布林克曼數之溫度場................36
4.3.1 受壓力驅動影響變化培特萊克數及布林克曼數之紐賽數….........36
4.3.2受壓力驅動及黏性熱逸散效應變化培特萊克數之熱完全發展紐
賽爾數提升率.....................................................................................41
第五章 結論與建議...........................................................................................44
5.1 結論........................................................................................................44
5.2 建議........................................................................................................45
參考文獻.............................................................................................................47
附錄.....................................................................................................................49
英文論文大綱
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