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研究生:蘇正熹
研究生(外文):Jheng-Si Su
論文名稱:不同材料界面熱傳之數值與實驗分析
論文名稱(外文):Experimental and Numerical Analysis on Interfacial Heat Transfer between Two Different Materials
指導教授:趙隆山
指導教授(外文):Long-Sun Chao
學位類別:碩士
校院名稱:國立成功大學
系所名稱:工程科學系碩博士班
學門:工程學門
學類:綜合工程學類
論文種類:學術論文
論文出版年:2009
畢業學年度:97
語文別:中文
論文頁數:96
中文關鍵詞:熱傳導接觸熱阻界面熱傳係數逆算法
外文關鍵詞:thermal contact resistanceinterfacial heat-transfer coefficientinverse numerical methodheat conduction
相關次數:
  • 被引用被引用:1
  • 點閱點閱:543
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  • 下載下載:87
  • 收藏至我的研究室書目清單書目收藏:0
不同材料接觸的熱傳分析,為本文研究之重點。一般而言,最簡單的研究方法是假設兩材料界面間為完美接觸,即溫度與熱通量在此界面是連續的,但此項假設與真實情況會有差異。在真實情況中,無論兩材料互相接觸的表面是多麼平滑,在微觀上都是粗糙不平的,因而會產生接觸熱阻(thermal contact resistance),影響能量之傳遞。故本文利用數值模擬與實驗對上述之現象進行分析。
在數值模擬方面,使用了有限差分法(Finite difference method)與有限元素法(Finite element method),發現兩種數值方法各有優劣。而在實驗方面,使用了純鐵與純銅作為實驗模型,並對其施加不同功率與壓力,來量測其內部的溫度變化,過程中發現,溫度變化對於接觸熱阻的影響,比實驗模型所承受負載的壓力還來的大。最後將數值模擬配合實驗所測量到的數據,利用最小平方法(least squares method),並且加入了未來溫度的概念來反算無法量測的界面熱傳係數(interfacial heat-transfer coefficient),亦有不錯的效果。
The heat-transfer analysis at the interface of two different materials is the key point of this work. Generally, the simplest way to deal with the interfacial heat transfer is to assume it is perfect contact at the interface between these two materials. However, this assumption deviates from the real situation. In the practical condition, though the contact surfaces of these two materials are very smooth from macro view, they are rough from micro one, which result in thermal contact resistance. Accordingly, the numerical and experimental methods are used to analyze the interfacial heat transfer phenomenon in this paper. In the numerical study, finite difference and finite element methods are utilized. From the computing results, these two methods have their own advantages and disadvantages. In the experimental analysis, pure iron and copper are used as the testing materials. During the heat transfer experiment, different powers and pressures are applied to the materials and the internal temperatures are measured. With the temperature-measure data, the inverse method, including the least square scheme and the future temperature concept, is applied to compute the interfacial heat transfer coefficient. From the results, it can be found that the power effect on interfacial heat transfer coefficient is more significant than the pressure one. With these interfacial heat transfer coefficients, the computed temperature profiles agree well with the experimental ones.
摘要......................................................I
致謝....................................................III
目錄.....................................................IV
表目錄..................................................VII
圖目錄.................................................VIII
符號說明................................................XII
第一章 緒論...............................................1
1.1 文獻回顧.............................................2
1.2 研究方法與目的.......................................4
第二章 理論模型...........................................6
2.1 物理模型.............................................6
2.1.1高低溫邊界........................................6
2.1.2邊界溫度隨時間變化................................7
2.2 基本假設.............................................7
2.3 統御方程式...........................................8
2.4 初使與邊界條件.......................................8
2.5 hc之逆算法..........................................10
第三章 實驗方法與設備....................................17
3.1 實驗設備............................................17
3.1.1量測壓力設備.....................................18
3.1.2高低溫控制設備備.................................18
3.1.3溫度擷取設備.....................................18
3.2 實驗模型設計........................................19
3.3 實驗方法與步驟......................................19
3.3.1量測實驗模型溫度分佈的方法.......................20
3.4實驗數據整理和計算...................................21
第四章 數值方法..........................................28
4.1 有限差分法..........................................29
4.1.1 兩材料界面為完美接觸的差分方程式................30
4.1.2 兩材料接觸面含有微小空隙的差分方程式 ...........31
4.2 有限元素法..........................................32
4.2.1 加勒金法(Galerkin’s method)....................33
4.2.2 元素與內插函數..................................34
4.2.3 高斯積分法與Jacobian矩陣........................36
4.2.4 溫度場之元素方程式..............................37
4.2.4.1 兩材料界面為完美接觸的溫度場元素方式........40
4.2.4.2 兩材料接觸面含有微小空隙的溫度場元素方程式..40
第五章 數值方法的驗證....................................46
5.1數值模擬一維之驗證...................................46
5.2數值模擬二維之驗證...................................48
5.3兩種數值模擬的準確度與計算時間.......................49
第六章 結果與討論........................................66
6.1 實驗結果............................................66
6.2 熱傳分析-利用數值模擬本文之實驗模型.................67
6.2.1 實驗模型溫度場之計算............................67
6.2.2 界面熱傳係數之反算..............................68
6.2.3 反算所得界面熱傳係數之驗證......................69
第七章 結論..............................................84
參考文獻.................................................86
附錄A....................................................89
附錄B....................................................93
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