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研究生:陳威志
研究生(外文):WEI CHIH CHEN
論文名稱:利用共軛梯度法探討熱交換器之接觸熱阻
論文名稱(外文):Conjugate Gradient Method for Determination Unknown Thermal Contact Resistance of a Circular Fin Tube Heat Exchanger
指導教授:張文政張文政引用關係
指導教授(外文):WEN JENG CHANG
學位類別:碩士
校院名稱:逢甲大學
系所名稱:機械工程學系
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:2001
畢業學年度:89
語文別:中文
論文頁數:76
中文關鍵詞:共軛梯度法
外文關鍵詞:Conjugate Gradient Method
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本文主要目的是以逆算法探討圓鰭管式熱交換器之接觸熱阻問題。圓鰭管式熱交換器在鰭片與管子間並非一體,其接觸面之良好與否,可由接觸熱阻判定,然而接觸熱阻很難只經由單一量測或直接計算求之,所以本文將利用共軛梯度法(conjugate gradient method)之逆算技巧對圓鰭管式熱交換器之接觸熱阻進行預測,並討論量測位置、量測誤差、感測器個數等條件對逆向估算圓鰭管式熱交換器之接觸熱傳係數之影響,最後與連續調整法作比較。
由結果顯示,量測誤差、量測點位置及感測器數目會影響接觸熱阻,當量測誤差愈大或量測點距離管子與鰭片接觸面愈遠,則接觸熱阻愈不準。如果感測器所量得之溫度不是很準確,則使用多個感測器不一定比單一感測器預測接觸熱阻準確。利用共軛梯度法估算接觸熱阻,不論是考慮量測誤差或是量測點位置,皆比連續調整法估算接觸熱阻準確。
The objective of this dissertation is to analyze the contact heat transfer coefficient in circular fin tube heat exchanger by using inverse technique. The fins and tubes in circular fin tube type heat exchanger are not fabricated(shaped) together. The coordination of the fins and tubes is determined by the contact heat transfer coefficient. However it is difficult to derive the contact heat transfer coefficient from only a measurement or simple calculations. Here we approach the contact heat transfer coefficient of circular fin tube heat exchanger by using the inverse technique in conjugate gradient method as well as make comparison to sequential regularization method.
The result shows that the deviation and distance of measuring points do affect the contact heat transfer coefficient. The lager the deviation and further the measuring distance from the surface, the more inaccurate the contact heat transfer coefficient is obtained. Hence, using the conjugate gradient method to estimate the contact heat transfer coefficient is better in accuracy compared to the sequential regularization method whether in terms of measuring deviation or distance.
目 錄
中文摘要………………………………………………………….Ⅰ
英文摘要………………………………………………………….Ⅲ
目錄……………………………………………………………….Ⅳ
圖目錄……………………………………………………………Ⅵ
表目錄……………………………………………………………Ⅸ
符號說明………………………………………………………Ⅹ
第一章 緒論……………………………………………………….1
1.1前言.………………………………………………………1
1.2文獻回顧.…………………………………………………2
1.3研究方法及問題…………………………………………5
第二章 一維圓鰭管式熱交換器接觸熱阻預測之理論分析………………………………………………………... 7
2.1直接解問題………………………………………………8
2.2靈敏性問題…………...…….………..………………12
2.3 伴隨問題…..…………..……………………………….14
2.4 收斂條件…………………………………………….....17
2.5數值計算流程.………………………………………..18
第三章 二維圓鰭管式熱交換器接觸熱阻預測之理論分析……………………………………………………….19
3.1直接解問題……………………………………………..20
3.2靈敏性問題.………………………………………….…24
3.3伴隨問題………………….….…………………………26
3.4收斂條件……………………………………………….30
3.5數值計算流程.……………………………………….. 31
第四章 數值模擬分析與討論…………………………………32
4.1 一維圓鰭管式熱交換器接觸熱阻之預測…………32
4.1.1 模擬分析…………………………………………….32
4.1.2 結果與討論………………………………………... 33
4.2 二維圓鰭管式熱交換器接觸熱阻之預測…………39
4.2.1 模擬分析………………………..…………………. 39
4.2.2 結果與討論………………………………………....41
第五章 結論……………………………………………………..44
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