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研究生:鄭憲鴻
論文名稱:時間非穩定性逆流熱交換器之模擬和計算
指導教授:李鐘雄李鐘雄引用關係
學位類別:碩士
校院名稱:東海大學
系所名稱:化學工程學系
學門:工程學門
學類:化學工程學類
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:74
中文關鍵詞:平行流逆流交叉流有限差分法
外文關鍵詞:parallel-flowcounterflowcrossflowfinite difference numerical method
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中 文 摘 要
應用熱傳遞原理來設計一個可應用的儀器裝置而完成一特定工程目標是非常重要的。在設計時我們必須以經濟利益為首要目標來考量。因此熱交換器(heat exchanger)的設計,經濟因素扮演一個非常重要的角色。譬如:為了達到經濟原則,我們需考量熱交換器裝置的大小、重量、材質、能量回收效率和熱交換器操作的費用等,而這些因素必需依靠熱交換器的熱分析為依據。
熱交換器以冷熱兩流體的流動方式可區分為平行流(parallel-flow)、逆流(counterflow)和交叉流(crossflow)三種形式。在一般的文獻中大部份探討穩定性(steady state)熱交換器,而討論時間非穩性(unsteady state)熱交換器的文獻卻非常少。因此本篇論文研究主要目的是分析和討論在時間非穩定性的平板(plane)逆流熱交換器和時間非穩定性圓管(cylinder)逆流熱交換器的基本原理和模式。並且以數值分析之有限差分法(finite-difference)來計算非穩態與穩態熱交換器內的兩流體和分隔板的溫度分佈情形。這個問題我們由數值分析方法來分析造成龐大的聯立方程式組,因此我們必需用電腦和程式語言來做輔助計算。

ABSTRACT
It is important to apply the principle of heat transfer to design an engineering system of heat exchanger. In an engineering design, the economical considerations are very important. For example in a heat exchanger design, we have to consider the size and weight, the material of the construction, the cost of the operation and the efficiency performance of the equipment. These factors are depended on the thermal analysis of heat exchanger.
Based on the flow direction, the heat exchanger may be cataloged as three types; parallel-flow, counterflow and crossflow heat exchanger. Most part of the technical literature and textbook discuss steady state of heat exchanger only. The main objective of this study is to analyze the unsteady state of plane-type and cylindrical type counterflow heat exchanger. We apply finite difference numerical method to calculate unsteady and steady state temperature distributions of two fluids and partition wall in counter-flow-heat exchanges. The method of calculation developed in this study can be applied to reduce the size of the matrices and used to compute the solution of a tremendous set of simultaneous equations.

目錄
頁次
中文摘要 .............................................. Ⅲ
英文摘要 .............................................. Ⅳ
誌  謝 .............................................. Ⅴ
表 目 錄 .............................................. Ⅵ
圖 目 錄 .............................................. Ⅶ
符號說明 .............................................. Ⅹ
第 一 章緒論...........................................1
1.1 前 言...............................................1
1.2 熱交換器............................................5
1.3 研究動機............................................10
1.4研究目的.............................................11
第 二 章文獻回顧.......................................13
2.1數值分析之有限差分法基礎理論.........................13
2.2平行流熱交器之數值分析解.............................16
1 2.3逆流熱交換器之數值分析解...........................17
2.4交叉流熱交換器之數值分析解...........................18
第 三 章平板逆流熱交換器...............................19
3.1基本假設.............................................19
3.2能量平衡方程式的推導.................................20
3.3方程式的無因次化.....................................23
3.4初始條件及邊界條件...................................24
3.5能量方程式之有限差分方程式...........................26
3.6方程式之數值解.......................................27
3.7準確度的探討.........................................30
第 四 章圓管逆流熱交換器...............................35
4.1基本假設.............................................35
4.2能量平衡方程式的推導.................................36
4.3方程式的無因次化.....................................38
4.4初始條件及邊界條件...................................39
4.5能量方程式之有限差分方程式...........................40
4.6方程式之數值解.......................................42
4.7準確度的探討.........................................45
第 五 章結果與討論.....................................49
5.1參數的選擇...........................................49
5.2平板逆流熱交換器參數的撰擇與結果.....................50
5.3圓管逆流熱交換器參數的選擇與結果.....................51
5.4討論.................................................52
參考文獻 ...............................................72
簡 歷................................................74

參 考 文 獻
1. J.P. Holman, Thermodynamics,”4th ed.,120-132 , McGraw-Hill
Book Company, ew York,1988.
2.“Standards of Tubular Exchanger Manufacturers
Association, ”lastest edition.
3. J. Taborek,”F and θ Charts for Cross-Flow Arrangement ,”
Section 1.5.3. in Handbook of Heat Exchanger Design,vol.1,
E.U. Schlunder ,ed.,Hemisphere ,Washington ,D.C.,1983.
4. Kay, W.M, and A.L. London: ”Compact Heat Exchangers,”2d
ed ,McGraw-Hill Book Company, New York,1964
5. H. Hausen, ”Heat Transfer in Counterflow ,Parallel Flow and
Cross Flow,”McGraw-Hill, New York,1983.
6. J.P. Holman, Thermodynamics,”4th ed.,150-221, McGraw-Hill
Book Company, New York,1988.
7. Friedly,J.C. ”Dynamic Behavior of Processes”,30-3,Prentice-
Hall,Inc.New Jersey,1972.
8. Carslaw,H.S.&Jaeger,J.C. ”Conduction of Heat in solid”,2nd
ed.397-398,Oxford University Press, London,1959.
9. Jaswon,M.A.&Simth,W., ”Countercurrent Transfer Processes in
the Non-steady state, ”Proc.Roy.Soc.,Series A,225,226-
224,1954.
10. Li.C.H.”A Numerical Finite difference Method for
Performance Evaluation of a Periodic-Flow Heat Exchanger ,”
Transaction of ASME Journal of Heat Transfer,105,611-
617,1983.
11. Li,C.H. ”Exact Transient Solution of Parallel-Current
Transfer Processes,”Transaction of ASME Journal of Heat
Transfer,108,365-369,1986.
12. Romie,F.E. ”Transient Response of Gas-to-Gas Crossflow
Heat Exchanger with Neither Gas Mixed, “, Transaction of
ASME Journal of Heat Transfer,105,563-870,1983.
13. Romie,F.E.,”Transient Response of the Counterflow Heat
Exchanger, “ Transaction of ASME Journal of Heat
Transfer,106,620-626,1984.
14. Tan,K.S.&Spinner,I.H.,”Numerical Methods of Solution for
Continuous Counter-Counter Processes in the unsteady state,
A.I.Ch.E.Journal,30,770-786,1984.
15. Li.C.H.” Numerical Alogorithm for Unsteady Countercurrent
Heat Transfer Process with Accumulating Temperature of
Partition Wall ”Department of Chemical Engineering ,Tunghai
University Taichung, Taiwan 40704,1996
16. 劉世盈,非穩定下流經平板之交叉流熱交換器的數值分析,私立東海
大化學工程研究所碩士論文,2000。
17. Kern.D.Q.,and A.D.Kraus, ”Extended Surface Heat transfer,”
2d ed. ,McGraw -Hill Book Company ,New York,1972.

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