微小圓管的層流及熱傳數值模擬

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曹聿男(Yu-Nan Tsao) 查詢紙本館藏

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機械工程學系

論文名稱

微小圓管的層流及熱傳數值模擬
(Numerical laminar flow and heat transfer in microtubes)

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摘要(中)

本文以模擬軟體FIDAP對小圓管（直徑 0.502 比較楊建裕等人 (2001) 的熱傳量測，發現在中低雷諾數的數值解之溫度剖面與壁溫及平均溫度分布大致遵守傳統熱傳理論的結果，但在高雷諾數 (Re=1687) 的局部及平均Nu值的實驗值皆高於數值預測值，依據楊建裕等人所定義的過渡區範圍 (Re=1,500~3,000)，導致本文的模擬熱傳特性已受到紊流影響。

摘要(英)

This study use the FIDAP software to simulate the laminar thermal-flow characteristics of the small tubes (where the diameter range: 0.502 Compared with heat transfer measurement of Yang et al. (2001), numerical solutions of temperature profile, wall temperature and mean temperature distribution agree well with conventional heat transfer theory in low and moderate Re flow regime. But in higher Re conditions (Re =1687), experimental results of local and mean Nu are higher than predicted results. Based on Yang’s classification, the transition range is between Re=1,500~3,000. Thus, accuracy of present numerical solutions of laminar heat transfer is affected by turbulence effect in real flow condition.

關鍵字(中)

★ 層流
★ 微小管道流
★ 數值模擬
★ 熱傳特性

關鍵字(英)

★ heat transfer characteristics
★ laminar flow
★ Numerical simulation
★ microtubes flow

論文目次

中文摘要………………………………………………………………… i
英文摘要………………………………………………………………… ii
目錄………………………………………………………………….... iv
表目錄……………………………………………………………….... vi
圖目錄……………………………………………………………….... vii
符號說明………………………………………………………………. ix
第一章緒論…………………………………………….………….. 1
1.1 研究動機…………………………………………………………. 1
1.2 文獻回顧…………………………………………………………. 2
1.3 造成微小通道與傳統通道偏差的可能解釋………………….… 7
1.4 研究方向…………………………………………………………. 10
第二章數值模擬方法….………….…………………………….. 11
2.1 有限元素法簡介…...……………………………………………. 11
2.2 Fidap使用的數值演算法…...…………………………………… 11
2.2.1 完全偶合法…………………………………………………. 12
2.2.2 數值收斂解的原則………………………………………….. 14
2.2.3 分離法……...………………………………………………... 15
2.3 前處理、計算階段及後處理階段簡介…………………………. 16
2.4 解題步驟…………………………………………………………. 17
2.5 軸對稱熱流場的描述及統御方程式、邊界條件………………. 18
2.5.1 圓管流場的數值模擬過程………………………………….. 19
2.5.2 圓管熱傳的數值模擬過程………………………………….. 20
第三章數值結果與討論…………………….…………………. 24
3.1 流場數值模擬與理論值、實驗結果比較……………………… 24
3.1.1速度比較……………………………………………………. 24
3.1.2壓降及中心軸向速度分布…………………………………. 25
3.1.3摩擦因子比較………………………………………………. 27
3.2 熱傳性能模擬與數值解、實驗結果比較……………………… 29
3.2.1 溫度分布……………………………………………………. 29
3.2.2 局部及平均Nu比較…………………………….………….. 30
第四章結論………………………………………………………. 52
參考文獻……………………………………………..……………… 54

參考文獻

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指導教授

吳俊諆(Jun-Chi Wu)

審核日期

2002-7-17

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