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研究生： 黃志誠
Huang, Chih-Cheng
論文名稱： 具時變性邊界條件與熱傳導係數之中空圓柱的熱傳導分析
Heat Conduction of Hollow Cylinders with Time-Dependent Boundary Conditions and Heat Convection Coefficients
指導教授： 李森墉
Lee, Sen-Yung
學位類別： 博士
Doctor
系所名稱： 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年： 2013
畢業學年度： 101
語文別： 英文
論文頁數： 103
中文關鍵詞： 功能梯度 、中空圓柱 、熱傳導 、時變性邊界 、時變性熱傳係數 、移位函數
外文關鍵詞： functionally graded, hollow cylinders, time dependent doundary conditions, time dependent heat convection coefficients
相關次數： 點閱：121  下載：2 
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    • 本研究藉由轉移函數的方法，針對 (I) 具廣義時變性邊界條件的功能梯度中空圓柱 (II) 具時變性邊界條件及時變性熱對流係數的均勻中空圓柱之暫態熱傳導問題求其解析解。本文提出的方法不需積分轉換。最後再以一些極限問題並利用數值分析來說明與驗證本分析方法的準確性和效率。本文也研究熱傳導行為對系統的物理特性之影響。

    The analytic solutions for the transient heat conduction by extending the method of shifting function in (I) functionally graded circular hollow cylinders with general time-dependent boundary conditions, and (II) uniform circular hollow cylinders with time-dependent boundary condition and heat convection coefficient are developed. The proposed solution method is free of integral transforms. Limiting studies and numerical analysis are given to illustrate the efficiency and the accuracy of the analysis. The influences of physical properties on the heat conduction behavior of the system are studied.

    摘 要..............I Abstract...........II Acknowledgments..............III Contents..............IV List of Figures..............IX Nomenclature..............XI Chapter 1 Introduction..............1 1.1 Introduction..............1 1.1.1 Boundary Conditions of the First Kind..............3 1.1.2 Boundary Conditions of the Second Kind..............4 1.1.3 Boundary Conditions of the Third Kind..............5 1.2 Literature Review..............8 1.3 Scope..............13 2 Analytic Solutions for Heat Conduction in Functionally Graded Circular Hollow Cylinders with Time-Dependent Boundary Conditions..............16 2.1 Mathematical Modeling..............16 2.2 Solution Method..............18 2.2.1 Change of variable..............18 2.2.2 Shifting functions..............19 2.2.3 Reduced homogenous problem..............20 2.3 Solution of transformed variable..............21 2.3.1 Characteristic solution..............21 2.4 Verification and Examples..............24 3 Functionally Graded Circular Hollow Cylinders with General Time- Dependent Boundary Conditions..............43 3.1 Mathematical Modeling..............43 3.2 Solution Method..............45 3.2.1 Change of variable..............45 3.2.2 Shifting functions..............46 3.2.3 Reduced homogenous problem..............48 3.3 Solution of transformed variable..............49 3.3.1 Characteristic solution..............49 3.3.2 Fundamental solutions..............52 3.4 Verification and Examples..............55 4 Hollow Cylinders with Time-Dependent Boundary condition and Heat Convection Coefficient..............69 4.1 Mathematical Modeling..............69 4.2 Solution Method..............71 4.2.1 Change of variables..............71 4.2.2 Shifting functions..............73 4.2.3 Series Expansion..............76 4.3 Constant Heat Convection Coefficient..............79 4.4 Verification and Examples..............79 5 Conclusions..............91 References..............94 Appendix..............102 Vita..............103

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