臺灣博碩士論文加值系統

本文以數值計算方法來模擬求解微極流體在兩平行板之通道內之混合對流熱傳問題。兩平行板之通道左面為進口端，流入等溫且固定流速之流體經過通道從右面的出口端流出。進、出口端均為完全發展流。上下平行板面為絕熱壁面。在管道的放置一方形加熱塊且以一定週期斜向上下來回震動運動。統御方程式推導由完整的穩態二維不可壓縮流體之Navier-Stokes方程式加入微極流體之方程推導得之。微極流體方程式之推導首先由A.C.Eringen[1]提出，配合微極流體定律之提出將牛頓流體擴展至非牛頓流體的應用。數值計算上是以三次樣線換方向定置法 (SADI；Spline Alternating-Direction Implicit Method）在個人電腦上求解。無因次化轉換後的統御方程式以流線、旋渦函數、角動量及溫度函數等表示，並得到穩態的熱傳效應。而影響熱場的數值參數主要有Re、Gr、Pr、F、R、λ參數。本文探討當改變不同參數時對整個水平道流場情形以及加熱塊在水平通道的熱傳影響。

Mixed convective heat transfer in a channel with a periodic oscillating heated block is numerically investigated in this study. The fluid flows into the channel from the left opening and exits from the opposite end. Both the temperature and velocity of the inflow fluid are kept constant. Periodic oscillating heated block in the center of the channel. The governing equations for micropolur fluid were first presented by A.C. Eringen, wherein we furthermore expend the applications to non-Newtonian fluids. The numerical computations were obtained using the cubic spline collocation method in a personal computer. The governing equations, including stream function, vorticity, microrotatin and energy, were first put in dimensionless form. The governing parameters appearing in present study are Re、R、Gr、F、Pr、λ. The numerical results of the flow fields are discuss with plot of isotherms, streamlines and concentration. The results indicate that the effect of mixed convective heat transfer depends on the moving block to a large extent.

中文摘要…………………...………………………………………………. i
英文摘要………...………………………………………………. ii
致謝……………………………………………………………… iii
目錄……………………………………………………………… iv
表目錄…………………………………………………………… vi
圖目錄……………………………………………….................... vii
符號說明…………………………………………….................... x
第一章 緒論…………………………………………………….. 1
1-1 研究目的與動機及其背景………………………… 1
1-2 相關文獻回顧……………………………………... 2
1-3 研究方法…………………………………………….. 6
1-4 本文架構…………………………………………….. 6
第二章 理論分析與數值方法………………………………….. 7
2-1 物理模型…………………………………………….. 7
2-2 基本假設…………………………………………….. 9
2-3 統御方程式……………………………………….. 9
2-4 系統的邊界狀況……………………………….. 10
2-5 無因次化分析………………………………….. 10
2-6 邊界條件……………………………………….. 12
第三章 數值方法…………...………………………...………… 14
3-1 數值解析…………….……........................................ 14
3-2 數值方法…………………………………….......... 16
3-2-1 線函數表示法及其性質………………......... 17
3-2-2 利用三次樣線函數求解………...…………. 21
3-2-3 邊界條件之處理……………………….…... 24
3-3 解題方法與程序…………………………….…….. 26
第四章 結果與討論……………………………….. 27
4-1 數值方法正確性之測試……………...…………… 27
4-2 格點測試…………………………..……………….. 27
4-3 流場的變化 28
4-4 在不同時間 的影響………………………................
28
4-5 雷諾數Re的影響……...…...………….................. 29
4-6 微極流體參數R的影響…………………………... 30
4-7 Grashof數的影響 30
4-8 週期參數F數的影響 31
4-9 普特蘭數Pr數的影響 31
4-10 微極流體參數λ數的影響………………………… 31
第五章 結論與建議…………………………………………….. 83
5-1 結論…………………………… 83
5-2 對未來研究之建議………………………………… 85
參考文獻………………………………………………………… 86

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