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研究生:朱哲田
研究生(外文):chu che tien
論文名稱:具壁面熱/質傳紊流場之數值模擬
論文名稱(外文):Numerical Simulation of Turbulent Flow Fields with Heat/Mass Transfer
指導教授:張克勤張克勤引用關係
指導教授(外文):K. C. Chang
學位類別:碩士
校院名稱:國立成功大學
系所名稱:航空太空工程學系
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:1999
畢業學年度:87
語文別:中文
論文頁數:72
中文關鍵詞:紊流熱傳質傳低雷諾數紊流模式週期性流場
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由於使用牆函數(wall function)來處理紊流場的近牆區,無法正確模擬流體在近牆區層流的行為;而近年來漸有發展之直接數值模擬法(DNS)與大尺度模擬(LES)仍侷限在簡單流場之模擬。所以,目前仍需要改善現有的低雷諾數紊流模式,以期能應用至較複雜流場的模擬。
一般的低雷諾數紊流模式中大都引進抑制(damping)函數,以 紊流模式為例,紊流黏滯係數 ,模式函數 值應介於0(層流)和1(完全發展)之間。1998年徐明君提出以Kolmogorov scale(紊流存在最小尺度)作為紊流效應存在與否的判斷條件,成功地解決 >1所造成的不合理性,更能準確地模擬紊流的近牆極限行為。
本文研究的主要目的在測試此 設限對於熱/質傳紊流場的適用性,並引入較複雜之週期性流場,藉以探討 設限對流場造成的變化進而對熱/質傳場的影響。

It is well agreed that the near wall turbulent flow field cannot be accurately simulated by using the wall function. It is also agreed that the direct numerical simulation (DNS) and large eddy simulation (LES) are so far limited to simple-flow cases yet. The above situation, thus, highlights a need to improve continuously the existing low-Reynolds-number (LRN) turbulence models so that they can be applicable to the complex flow fields.
In the most of the existing LRN models, they introduce the damping function in the models. For example, the eddy viscous is defined by in the LRN model and the value must be ranged between 0 (in viscous sublayer) and 1 (in fully turbulent sublayer). Shyu(1998)proposed a criterion, based on the Kolmogrove scale, calculation with this criterion can successfully for determining the existence of the turbulence eddies. Avoid the occurrence of an unrealistic situation of . And predict the near wall limiting behavior more accurately.
The main objective of this work is to further investigate the applicability of this criterion for on the wall heat/mass transfer problems of the complex flow. It is found that the simple deletion of eddy effects in the viscous sublayer, i.e. as (Ko;mogrove time scale), as proposed by Shyu(1998) cannot work for the flow problems with high numbers. Further study is needed.

中文摘要
英文摘要
誌謝
目錄……………………………………………………………………Ⅰ
表目錄…………………………………………………………………Ⅲ
圖目錄…………………………………………………………………Ⅳ
符號說明………………………………………………………………Ⅵ
第一章 前言…………………………………………………………1
1-1引言………………………………………………………1
1-2文獻回顧…………………………………………………3
第二章 紊流模式………………………………………………………6
2-1 基本假設…………………………………………………6
2-1-1非週期性流場統御方程式………………………7
2-1-2 週期性流場統御方程式…………………………11
2-2無因次化分析……………………………………………12
第三章 數值方法………………………………………………………15
3-1統御方程式的轉換………………………………………15
3-2統御方程式的離散化……………………………………16
3-3數值演算法………………………………………………18
3-4控制平面的速度修正……………………………………22
3-5收斂條件…………………………………………………22
3-6 方程式穩定性的處理………………………………23
3-7 週期性三對角矩陣法(CTDMA)…………………………24
第四章 抑制函數 的近牆極限………………………………………25
4-1等溫流場之計算……………………………………………26
4-1-1邊界條件……………………………………………26
4-1-2計算結果與討論……………………………………27
4-2非等溫流場之計算…………………………………………30
4-2-1邊界條件……………………………………………30
4-2-2 採用源項 及 的原因……………………………31
4-2-3計算結果與討論……………………………………31
4-3 質傳場之計算………………………………………………34
4-3-1 邊界條件……………………………………………34
4-3-2 計算結果與討論……………………………………35
第五章 結論………………………………………………………………38
附錄………………………………………………………………………39
參考文獻…………………………………………………………………47
表與圖……………………………………………………………………52

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