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研究生: 王宏志
Wang, Hung-Chih
論文名稱: 利用逆運算法並配合溫度量測值預測結露時之平板鰭管式熱交換器的熱傳性質
Application of the Inverse Scheme with Experimental Temperature Data to Estimate Heat Transfer Performance on a Wet Fin of Plate Finned-tube Heat Exchangers
指導教授: 陳寒濤
Chen, Han-Taw
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2006
畢業學年度: 94
語文別: 中文
論文頁數: 76
中文關鍵詞: 鰭片效率強迫對流熱傳係數相對濕度
外文關鍵詞: relative humidity, heat transfer coefficient, fin efficiency, forced convection
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  •   本文主要是以有限差分法(Finite difference method)並配合最小平方法(Least-squares scheme)及溫度量測值來預測不同風速及濕度下之鰭管鰭片上有冷凝現象時的平均熱傳係數(Average heat transfer coefficient)、熱傳量(Heat rate)和鰭片效率(Fin efficiency)。本文乃以最小平方法來修正預估值,直至量測點之溫度計算值和溫度量測值之差甚小為止。為了欲驗證本文預測值的可靠性,本文先以一維逆向熱傳導(Inverse heat conduction problem)問題來進行分析,所得預測結果將和先前結果相比較。結果顯示, 相對濕度(Relative humidity)越高則鰭片上之熱傳係數及熱傳量也會隨之增加,但鰭片效率則隨之遞減。為了更進一步探討板鰭片之熱傳現象,吾人提出二維逆向熱傳導問題來進行分析,所得預測結果將和一維逆向分析之結果來進行比較。

      The present study applies the finite difference method in conjunction with the least-squares scheme and measured temperatures to predict the average convection heat transfer coefficient, total heat rate, and fin efficiency on the rectangular vertical wet fin of plate finned-tube heat exchangers for various air speeds and relative humidities. The least-squares minimization technique is applied to correct the present estimates until the sum of the squares of the deviations between the calculated and measured temperatures are minimum in the present study. In order to show the reliability of the present estimates, the present study will apply the 1-D inverse heat conduction problem to perform the inverse analysis. A comparison between the present estimates and the previous results is made. The results show that the heat transfer coefficient and the heat rate on the fin increases with the relative humidity, but the fin efficiency decreases with increasing the relative humidity. In order to investigate the heat transfer performance on a fin of plate finned-tube heat exchangers further, the 2-D inverse heat conduction problem is also applied to determine the present estimates. The present estimates obtained from the 2-D inverse analysis compare with those obtained from the 1-D inverse analysis.

    摘要…………………………………………………I 英文摘要……………………………………………II 誌謝…………………………………………………III 目錄…………………………………………………IV 表目錄………………………………………………VII 圖目錄………………………………………………IX 符號說明……………………………………………XII 第一章 緒論………………………………………1 1-1 研究背景………………………………………1 1-2 文獻回顧………………………………………3 1-2-1 鰭管式熱交換器……………………………3 1-2-2 鰭片效率……………………………………4 1-3 研究目地………………………………………6 1-4 研究重點與本文架構…………………………7 第二章 一維之理論分析與數值模擬……………9 2-1 簡介……………………………………………9 2-2 理論分析………………………………………10 2-2-1 數學模式的建立……………………………10 2-2-2 數值分析方法………………………………12 2-2-3 逆向熱傳導問題……………………………13 2-3 實驗流程………………………………………17 2-4 鰭片效率方程式………………………………18 2-5 結果與討論……………………………………19 2-5-1 模擬逆向問題………………………………19 2-5-2 實際之逆向問題……………………………21 第三章 二維之理論分析與數值模擬……………37 3-1 簡介……………………………………………38 3-2 理論分析………………………………………38 3-2-1 數學模式的建立……………………………39 3-2-2 數值分析方法………………………………41 3-2-3 逆向熱傳導問題……………………………43 3-3 鰭片效率方程式………………………………44 3-4 結果與討論……………………………………45 3-4-1 模擬逆向問題………………………………45 3-4-2 實際之逆向問題……………………………47 3-4-3 一維及二維預估結果比較…………………50 第四章 綜合結論與未來展望……………………69 4-1 綜合結論………………………………………69 4-2 未來發展方向與建議…………………………71 參考文獻……………………………………………73 作者簡介、著作權聲明……………………………76

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