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研究生：	張君旭 Chang, Chun-Hsu
論文名稱：	利用逆算法配合實驗數據預測連續移動熱平板之熱傳係數 Application of the Inverse Method to Estimate the Heat Transfer Coefficient of the Moving Heated Plate with Experimental Data
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：	2003
畢業學年度：	91
語文別：	中文
論文頁數：	71
中文關鍵詞：	熱傳係數、移動平板
外文關鍵詞：	heat transfer coefficient, moving plate
相關次數：	點閱：111 下載：3
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查詢本校圖書館目錄查詢臺灣博碩士論文知識加值系統勘誤回報

本文主要是以熱傳導觀點來分析移動熱平板進入低溫環境時之溫度分佈，並估算出整體之熱傳分佈以及熱傳係數。期能提供一分析熱傳問題之方法，並藉由熱傳的觀點來探討材料擠壓成型、輥軋、金屬線的抽製、連續之鑄造、纖維的抽製和晶圓的長成等之製程，以期使材料之溫度分佈能趨於均勻。
本文提出一種混和拉式轉換法(Laplace transform method)與及有限差分法(Finite difference method)的數值方法，並配合最小平方法(Least-squares scheme)來對熱傳係數之測定。拉式轉換法的優點是可以求得在某一特定時間的溫度值，而不需要由初始時間慢慢的求解。最小平方法的應用在於使數值結果能較快的收斂。本文將探討溫度量測誤差、熱電偶(Thermocouple)的安裝位置及其數量對預測結果的影響。預測結果顯示本文之數值方法能夠有效的預測出較精確的估算值。預測結果也顯示量測誤差對估算值的影響並不是很敏感。因此本文之數值逆算法可成功的被應用來解析移動邊界之逆向熱傳問題。

The present study is analyzing the temperate distribution of the heated plate moving to lower temperate environment and estimating the heat flux and heat transfer coefficient distribution. And hopping offer a method to analyze the heat transfer problems and to discuss the processes such as hot rolling ,extrusion ,wire drawing ,continuous casting ,fiber drawing and crystal growing ,hopping the material temperate distribution can be uniform.

The present study introduces a hybrid numerical method to analyze the inverse heat conduction problem concerning the prediction of the surface behavior. This algorithm combines the Laplace transform technique and the finite-difference method in conjunction with the least-squares scheme and sequential-in-time concept. Time-dependent terms in the governing equation are removed by using the Laplace transform technique, and then the resulting differential equation is solved by using the finite-difference method. Due to the application of the Laplace transform technique, the temperature can be calculated at a specific time without step-by-step computation in the time domain. By the least-squares scheme, the convergence of iteration can become fast and stable. In this thesis, various examples are illustrated to show the applicability and efficiency of the present numerical method. The effect of time-step, numerical error and thermocouple location is investigated. It can be seem from various illustrated examples that the present numerical method can accurately and efficiently estimate the estimates, even though the thermocouple is located far from the estimated surface. Results also show that the estimations are not very sensitive to the measurement error. Thus, it can be concluded that the present numerical method can successfully be applied to analyze the moving boundary heat conduction problems.

摘要	                                         Ⅰ
英文摘要	                                       II
致謝	                                        III
目錄	                                         IV
表目錄	                                        VI
圖目錄	                                       VII
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
	1-3 研究目的	                        5
	1-4 研究重點與架構	                     5
第二章 移動平板之一維熱傳導問題	             8
	2-1 簡介                                 	  8
	2-2 理論分析	                        8
	2-3 數值直接熱傳導問題	                  11
		2-3-1 穩態數值直接熱傳導問題	11
		2-3-2 暫態數值直接熱傳導問題	14
	2-4 逆向熱傳導問題	                    17
	2-4 結果與討論	                      21
	2-6 結論	                                 24
第三章 實驗數據分析	                          44
	3-1 簡介	                                 44
	3-2 理論分析	                       44
	3-3 結果與討論	                      49
	3-4 結論	                                 51
第四章 綜合結論與建議	                         60
	4-1 綜合結論	                       60
	4-2 未來發展方向	                     61
參考文獻	                                       62
附錄一	                                        68

                                    

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校外：2003-08-05公開

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