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研究生:張嘉峻
研究生(外文):Chia-ChunChang
論文名稱:以普通及修正離散方向法解二維折射介質中的輻射熱傳
論文名稱(外文):Ordinary and Modified Discrete Ordinates Solutions of Radiative Heat Transfer in a Two-Dimensional Refractive Medium
指導教授:吳志陽
指導教授(外文):Chih-Yang Wu
學位類別:碩士
校院名稱:國立成功大學
系所名稱:機械工程學系碩博士班
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2010
畢業學年度:98
語文別:中文
論文頁數:117
中文關鍵詞:離散方向法散漫入射輻射熱傳空間可變折射係數二維
外文關鍵詞:discrete ordinates methoddiffuse irradiationradiative transferspatially varying refractive indextwo-dimensional
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本文應用離散方向法及修正的離散方向法,分析具有一個散漫入射邊界的二維折射介質中之輻射熱傳。其它邊界為散漫反射,介質具有空間可變折射係數且假設為冷的、吸收且線性非等向散射介質。發展修正的離散方向法時,我們將強度分為部份消散後剩下的強度及因為介質散射而有的相當散漫之強度。我們能導出消散後剩下的強度之解析解,再以普通離散方向法解散射而有的相當散漫之強度。兩種離散方向法的結果將和蒙地卡羅的結果比較,以上結果顯示修正離散方向法的結果,在光學厚度小時,較不受射線效應影響,也因此修正的離散方向法優於普通離散方向法。本文將解得一維及二維折射係數分佈及各種光學尺寸、散射比、散射相函數係數、邊界反射率之介質的角度積分強度及邊界輻射熱通量。介質的折射效應會使得部份入射輻射彎向入射面兩側相鄰邊界,因此通常折射介質側邊界的輻射熱通量,會大於折射係數固定為前者的平均值之介質側邊界的輻射熱通量。其他參數對折射方形介質的輻射熱傳之影響亦將加以探討。
In this work, the discrete ordinates method (DOM) and a modified discrete ordinates method (MDOM) have been applied to solve radiative transfer in a refractive rectangular medium exposed to a diffuse irradiation at one of its boundaries. The other boundaries are diffusely reflecting. The medium has a spatially varying refractive index and is assumed to be cold, absorbing and linearly anisotropically scattering. To develop the MDOM, we divide the intensity into the reduced incident intensity after partial extinction by absorption and out-scattering along the incident trajectory and a fairly diffuse part due to out-scattering by the medium. The reduced incident intensity in analytical form may be derived and the fairly diffuse part due to out-scattering is solved by the ordinary DOM. The computational results obtained by the DOM and the MDOM are compared with those obtained by the Monte Carlo method. The comparison of the results by these methods reveals that the solutions of optically thin cases obtained by the MDOM include less ray effects and so the MDOM is superior to the DOM. The direction-integrated intensity in the media and radiative heat flux at the boundaries are obtained for one- and two-dimensional distributions of refractive index, various optical sizes, scattering albedos, coefficients of scattering phase function and boundary reflectances. Refraction effects of the medium bend partial irradiation to the side boundary. Thus, in general, the radiative heat flux at the side boundary of the refractive medium considered is greater than that of the medium with a constant refractive index equal to the average of the refractive medium. Effects of other parameters on radiative transfer in refractive square media are also investigated.
中文摘要 i
英文摘要 ii
誌謝 iii
目錄 iv
表目錄 vi
圖目錄 vii
符號說明 xiv

第一章 緒論 1
1.1 研究動機、背景與文獻回顧 1
1.2 研究目的與方法簡介 2
1.3 本文架構 2
第二章 理論分析 4
2.1 物理模型與基本假設 4
2.2 統御方程式 5
2.2.1 輻射傳遞方程式 5
第三章 數值方法 9
3.1 離散方向法 9
3.2 修正的離散方向法 19
3.2.1 將輻射強度分為兩部份的RTE與邊界條件 19
3.2.2 應用MDOM解邊界入射情形 29
第四章 結果與討論 37
4.1 格點驗證 37
4.2 參數影響的討論 40
4.2.1 折射率為一維分佈 40
4.2.2 折射率為二維分佈 43
4.2.3 折射率分佈為一維、二維、平均值之比較-等溫度入射 45
4.2.4 折射率分佈為一維、二維、平均值之比較-等通量入射 48
第五章 結論與展望 51
5.1 結論 51
5.2 展望 52
參考文獻 53
自述 117


1. R. Siegel, C. M. Spuckler, “Effect of index of refraction on radiation characteristics in a heated absorbing, emitting, and scattering layer, Journal of Heat Transfer (Transactions of the ASME), Vol. 114, pp. 781-784, 1992.
2. R. Siegel, C. M. Spuckler, “Variable refractive index effects on radiation in semitransparent scattering multilayered regions, Journal of Thermophysics and Heat Transfer, Vol. 7, pp. 624-630, 1993.
3. P. Ben Abdallah, V. Le Dez, “Temperature field inside an absorbing-emitting semi-transparent slab at radiative equilibrium with variable spatial refractive index, Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 65, pp. 595–608, 2000.
4. D. Lemonnier, V.LeDez, “Discrete ordinates solution of radiative transfer across a slab with variable refractive index, Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 73, pp. 195-204, 2002.
5. L. H. Liu, “Benchmark numerical solutions for radiative heat transfer in two-dimensional medium with graded index distribution, Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 102, pp. 293–303, 2006.
6. W. A. Fiveland, “Discrete ordinates solutions of the radiative transport equation for rectangular enclosures, ASME Journal of Heat Transfer, Vol. 106, pp. 699-706, 1984.
7. J. S. Truelove, “Discrete-ordinates solutions of the radiation transport equation, ASME Journal of Heat Transfer, Vol. 109, pp. 1048-1051, 1987.
8. M. A. Ramankutty, A. L. Crosbie, “Modified discrete ordinates solution of radiative transfer in two-dimensional rectangular enclosures, Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 57, pp. 107–140, 1997.
9. S. Chandrasekhar, Radiative Heat Transfer, Dover Publications, New York, 1960.
10. D. B. Olfe, “A modification of the differential approximation for radiative transfer, AIAA Journal, Vol. 5, pp. 638-643, 1967.
11. L. H. Liu, “Finite Volume Method for Radiation Heat Transfer in Graded Index Medium, Journal of Thermophysics and Heat Transfer, Vol. 20, pp. 59-66, 2006.
12. L. H. Liu, L. Zhang, H. P. Tan, “Finite element method for radiation heat transfer in multi-dimensional graded index medium, Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 97, pp. 436-445, 2006.
13. 劉林華, 談和平, 梯度折射率介質內熱輻射傳遞的數值模擬, 科學出版社, 北京, 2006.
14. M. F. Modest, Radiative Heat Transfer, ed., Academic press, New York, 2003.
15. G. C. Pomraning, The Equation of Radiation Hydrodynamics, Pergamon, New York, 1973.
16. Wu, S. C., and Wu, C.-Y., “Partition-extrapolation integration applied to radiative transfer in cylindrical media, Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 48, pp. 279-286, 1992.

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