臺灣博碩士論文加值系統

本篇論文主要探討電滲流在不同邊界條件下對於非牛頓流體在平板間的熱傳影響，其中我們對於流動行為指數、無因次化滑移長度、無因次化焦耳熱參數、黏性耗散與焦耳熱之比值、與流道半高與德拜長度之比值給予了不同值的變化，且只探討純電滲流驅動的情況下，觀察不同變數在合理範圍內，對於兩種不同特性的非牛頓流體與牛頓流體做比較，探討其電滲流熱傳之特性。
本研究發現滑移長度對於溫度變化趨勢並沒有明顯的改變，但對於溫度分布有微小增加或減少的影響；流道半高與德拜長度之比值越大時，溫度分布範圍減小且整體溫度隨著壁面加熱而上升，隨著壁面冷卻而下降；當壁面加熱時，若增加流動行為指數n值，無因次化溫度隨之減少且溫度變化範圍變大，當壁面冷卻時，若增加流動行為指數n值，無因次化溫度隨之增加而溫度變化範圍變小；黏性耗散的下降對於壁面加熱時有助於提升紐賽爾數值，黏性耗散的下降對於壁面冷卻時有助於降低紐賽爾數值。

This paper mainly discusses the effect of electro-osmotic flow on the heat transfer between flat plates of non-Newtonian fluid under different boundary conditions. From the present formulation, the key parameters governing this problem include the flow behavior index, dimensionless slip length, dimensionless Joule heating parameters, the ratio of viscous dissipation to Joule heating, and the ratio of half channel width to Debye-length. For purely electro-osmotic flow, the flow and heat transfer characteristics are analyzed for a reasonable range of the aforesaid key parameters. For comparison purpose, results for Newtonian fluid are also presented in the analysis.
It was found that the effect of dimensionless slip length on temperature trend is not noticeable, but a little increase or reduction in temperature profile was observed. When the ratio of half channel width to Debye-length increases, the temperature distribution range is reduced and the overall temperature rises for the case of surface heating. When the ratio of half channel width to Debye-length decreases, the temperature distribution range is enhanced and the overall temperature reduces for surface cooling. In the surface heating case, the dimensionless temperature decreases and the temperature trend increases as the fluid behavior index increases. For surface cooling, the dimensionless temperature increases and the temperature trend decreases with increasing the fluid behavior index. The reduction in the ratio of viscous heating to Joule heating tends to increase the Nusselt number for surface heating, while a reversed trend was found for surface cooling.

摘要....................i
ABSTRACT................ii
誌謝....................iii
目錄....................iv
圖目錄..................vi
符號說明................ix
第一章 緒論............1
1.1 前言................1
1.2 研究動機與目的.......1
1.3 文獻回顧............2
1.4論文架構.............3
第二章 理論分析..........4
2.1 物理模型............4
2.2基本假設.............4
2.3統御方程式與邊界條件..4
2.4冪律流體.............5
第三章 求解方法..........7
3.1 電位場..............7
3.2 動量方程式..........9
3.3 能量方程式..........10
3.4 速度場之求解........11
3.5 溫度場之求解........12
第四章 結果與討論........14
4.1 各參數對無因次化溫度分布之影響 14
4.2 各參數對紐塞爾數之影響.20
第五章 結論與未來展望......22
5.1 結論................22
5.2 未來展望............24
參考文獻................25
附錄....................29
EXTENDED ABSTRACT.......79

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