多孔質中水平絕熱板結合線熱源熱傳與等質通量壁質傳之混合對流

以作者查詢圖書館館藏

、以作者查詢臺灣博碩士

、以作者查詢全國書目

、勘誤回報

、線上人數：34

、訪客IP：3.128.31.106

姓名

徐雅雄(Yian-Xung Hsi) 查詢紙本館藏

畢業系所

化學工程與材料工程學系

論文名稱

多孔質中水平絕熱板結合線熱源熱傳與等質通量壁質傳之混合對流

相關論文

★ 溶膠-凝膠法製備奈米複合材料暨光子晶體之研究	★ 薄膜氣體吸收系統的解析解與實驗之研究
★ 多孔質熱源於封閉區間兩側散熱之自然對流	★ 封閉區間內柱狀多孔質熱源之自然對流系統
★ 噴流或吸流對共軛熱傳的影響	★ 多孔質中結合熱傳與質傳之非達西混合對流
★ 傾斜板在多孔質中結合熱傳與質傳之自然對流	★ 多孔質中結合線熱源熱傳與等質通量質傳之非達西混合對流
★ 封閉區間內多孔熱源陣列之數值模擬	★ 偶氮系光敏感化合物合成及甲基丙烯酸酯系感光性高分子正、負型光阻製備與研究

檔案

[Endnote RIS 格式]

[Bibtex 格式]

[相關文章]

[文章引用]

[完整記錄]

[館藏目錄]

[檢視]

[下載]

本電子論文使用權限為同意立即開放。
已達開放權限電子全文僅授權使用者為學術研究之目的，進行個人非營利性質之檢索、閱讀、列印。
請遵守中華民國著作權法之相關規定，切勿任意重製、散佈、改作、轉貼、播送，以免觸法。

摘要(中)

本文研究在多孔質中放置一塊前緣嵌有線熱源的水平絕熱板，探討結合線熱源熱傳(即壁煙流)與等質通量壁質傳的混合對流。
首先利用溫度與濃度邊界層之量階分析的結果，提出在純粹自然對流時的熱傳與質傳浮力比參數r，以及引進描述自然對流與強制對流強度之比的混合對流參數ξ，並定義一些適當的轉換變數，將系統的主導方程式轉換成比較容易進行數值解之無因次方程式組。
然後應用穩定性高及有效率的數值方法，求出包含從純粹質傳控制轉換到純粹熱傳控制之完整浮力比範圍( )，以及由強制對流至自然對流之整個混合對流區域( )之精確數值解。
數值解經由合適的數學轉換後，以較具有物理意義的形式作圖。圖中可以顯示系統中速度、溫度及濃度的分佈情形以及路易士數對熱傳與質傳之影響。
本文分析的對象為常見的空氣與稀薄水溶液系統。涵蓋的路易士數範圍從低路易士數(0.3至3.0)到高路易士數(20至200)。從圖中的結果可以發現，路易士數越小，則流速越大；但對高路易士數來說則影響有限。並且路易士數對質傳的影響較對熱傳來的明顯。而在高路易士數的系統中，對質傳速率的影響要比低路易士數的系統更為顯著。

關鍵字(中)

★ 水平絕熱板
★ 線熱源
★ 多孔質

關鍵字(英)

★ porous medium

論文目次

摘要I
誌謝Ⅱ
目錄Ⅲ
圖目錄Ⅴ
表目錄Ⅷ
符號說明Ⅸ
第一章緒論1
1.1 本論文研究的動機與目的1
1.2 多孔質中的對流熱傳系統之文獻回顧2
1.3 多孔質中結合熱傳與質傳之文獻回顧3
1.4 多孔質中壁煙流之文獻回顧5
1.5 本文研究的方法6
1.6 本論文之架構7
第二章理論解析、數學模式與數值方法8
2.1 系統描述8
2.2 基本假設11
2.3 數學模式12
2.4 無因次參數與變數15
2.5 無因次統制方程式18
2.6 幾種特例之無因次統制方程式20
2.7 數值方法介紹22
第三章結果與討論25
3.1 分析範圍之選擇25
3.2 速度分佈25
3.3 溫度分佈27
3.4 濃度分佈29
3.5 質量傳送係數31
3.6 浮力比與薛伍德數之關係34
第四章結論105
參考文獻107

參考文獻

1.P. Chen and K. H. Lau, "Steady state free convection in an unconfined geothermal reserviors", J. Grophys. Res., Vol.79, pp.4425-4431, 1974
2.P. Chen, K. C. Yeung and K. H. Lau, "Numerical solutions for steady free convection in confined island geothermal reserviors", To appear in the Proceedings of 1975 International seminar on Future Energy Production--Heat and Mass Transfer Problems.Edited by N. Afgan and J. P. Hartnett, 1976
3.W. J. Minkowycz and P. Chen, "Free convection about a vertical cylinder embedded in a porous medium", Int. J. Heat Mass Transfer, Vol.19, pp.805-813, 1976
4.P. Chen and I-Dee Chang, "Buoyancy induced flows in a saturated porous medium adjacent to impermeable horizontal surface", Int. J. Heat Mass Transfer, Vol.19, pp.1267-1272, 1976
5.P. Chen, "Constant surface heat flux solutions for porous layers flows", Letters J. Heat Mass Transfer, Vol.4, pp.119-128, 1977.
6.P. Chen, "The influence of lateral mass flux on free convection boundary layers in a saturated pourous medium", Int. J. Heat Mass Transfer, Vol.20, pp.201-206, 1977
7. P. Chen, "Combined free and forced convection flow about inclined surface in porous media", Int. J. Heat Mass Transfer, Vol.20, pp.807-814, 1977
8. P. Chen and W. J. Minkowycz, "Free convection about a vertical flat plat embedded in a porous medium with application to heat transfer from a dike", J. Geophys. Res., Vol.82, pp.2040-2044, 1977
9. P. Chen, "Similarity solution for mixed convection from horizontal impermeable surfaces in saturated porous media", Int. J. Heat Mass Transfer, Vol.20, pp.893-898, 1977
10. C. H. Johnson and P. Chen, "Possible similarity solutions for free convection boundary layers adjacent to flat plates in porous media", Int. J. Heat Mass Transfer, Vol.21, pp.709-718, 1978.
11.P. Chen, "Convection heat transfer in porous layer by integral methods", Letters J. Heat Mass Transfer, Vol.5, pp.243-252, 1978
12.P. Chen and C. T. Hsu, "Higher-order approximations for Darcian free convective flow about a semi-infinite vertical flat plat", J. Heat Transfer, Vol.106, pp.143-151, 1984.
13.P. Chen, "Heat transfer in geothermal systeam", Adv. Heat Transfer, Vol.14, pp.1-105, 1978.
14. P. Chen, "Natural convection in a porous medium-external flows", NATO Advanced Study Institute, Izmir, Turkey, 1984.
15.J. T. Hong, C. L. Tien and Kaviany, "Non-darcian effects on vertical-plate natural convection in porous media with high porosities", Int. J. Heat Mass Transfer, Vol.28, pp.2149-2157, 1985.
16. D. S. Riley and D. A. S. Ress, "Non-Darcian natural convection from arbitrarily inclined heated surfaces in saturated porous media", J. Mech. Appl. Math., Vol.38, pt.2, pp.277-295, 1985.
17.R. Vasantha, I. Pop and G. Nath, "Non-Darcy natural convection over a slender vertical frustum of a cone in a saturated porous medium", Int. J. Heat Mass Transfer, Vol.29, pp.153-156, 1986.
18.F. C. Lai and F. A. Kulacki, "Non-darcy convection from horizontal impermeable surfaces in saturated porous medium", Int. J. Heat Mass Transfer, Vol.30, pp.2189.2192, 1987.
19.林孝宗、盧中興, "多孔質中垂直等溫板的非達西混合對流", Proceedings Symposium on Transport Phenomena and Applications, pp.141-147, 1989.
20.盧中興, "多孔質中垂直板與水平板之混合對流" ,國立中央大學化學工程研究所碩士論文, 1989.
21.H. T. Lin, W. S. Yu and C. S. Lu, "Universal formulations and comprehensive correlation for non-Darcy natural convection and mixed convection in porous media", Int. J. Heat Mass Transfer, Vol.34, pp.2859-2868, 1991.
22.C. H. Chen, T. S. Chen and C. K. Chen, "Non-Darcy mixed convection along nonisothermal vertical surfaces in porous media", Int. J. Heat Mass Transfer, Vol.39, pp.1157-1164, 1996.
23.D. A. S. Rees, "The effect of inertia on free convection from a horizontal surface embedded in a porous medium", Int. J. Heat Mass Transfer, Vol.39, pp.3425-3430, 1996
24.D. A. Nield and A. Bejan. "Convection in Porous Media", Springer New York, 1992.
25.J. C. Hsieh, T. S. Chen and B. F. Armaly, "Mixed convection along a nonisothermal vertical falt plate embedded in a porous medium : the entire regime", Int. J. Heat Mass Transfer, Vol.36, pp.1819-1825, 1993
26.A. A. Khan and A. Zebib, "Double diffusive instability in a vertical layer of a porous medium", J. Heat Transfer, Vol.103, pp.179-181, 1981.
27.A. Raptis,G. Tzivanidis and N. Kafousias, "Free convection and mass transfer flow through a porous medium bounded by an infinite vertical limiting surface with constant suction", Lett, Heat Mass Transfer, Vol.8, pp.417-424, 1981
28.A. Bejan and K. R. Khair, "Heat and mass transfer by natural convection in a porous medium", Int. J. Heat Mass Transfer Vol.28, pp.909-918, 1985.
29.O. V. Trevisan and A. Bejan, "Natural convection with combined heat and mass transfer buoyancy effects in a porous medium, Int. J. Heat Mass Transfer, Vol.28, pp.1597-1611, 1985
30.O. V. Trevisan and A. Bejan, "Mass and heat transfer by natural convection in a vertical slot filled with porous medium", Int. J. Heat Mass Transfer, Vol.29, pp.403-415, 1986.
31.F. C. Lai and F. A. Kulacki, "Couple heat and mass transfer by natural convection from vertical surface in porous media", Int. J. Heat Mass Transfer, Vol.34, pp.1189-1194, 1991.
32.A. Nakayama and M. A. Hossain, "An integral treatment for combined heat and mass transfer by natural convection in a porous medium", Int. J. Heat Mass Transfer, Vol.38, pp.761-765, 1995.
33. A. Bejan, "Convection Heat Transfer",New York：John Wiley & Sons, 1984.
34. A. Nakayama and T. Ashizawa, "A boundary-layer analysis of combined heat and mass-transfer by natural-convection from a concentrated source in a saturated porous-medium", Applied Scientific Reserch, Vol.56, pp.1-11,1996.
35.廖光耀, "多孔質中垂結合熱傳與質傳之混合對流", 國立中央大學化學工程研究所碩士論文, 1997.
36.R. A. Wooding, "Convection in a saturated porous medium at large Rayleigh number or Peclet number", J. Fluid Mechanics, Vol.15, pp527-544, 1963.
37.P. Chen and T. M. Zheng , "Mixed convection in the thermal plume above a horizontal line source of heat in a porous medium of infinite extent", Proceedings of the Eighth International Heat Transfer Conference, Vol.5, pp.2671-2675, 1986.
38.M. Kumari, I. Pop and G. Nath, "Darcian mixed convection plumes along vertical adiabatic surfaces in a saturated porous medium", Thermal and Fluid Dynamics, Vol.22, pp.173-178, 1988.
39.N. Afzal and M.Y. Salam, "Natural convection from point source embedded in Darcian porous medium", Fluid Dynamic Research, Vol.6, pp.175-184, 1990.
40.D. Poulikakos, "On buoyancy induced heat and mass transfer from a concentrated source in an infinite porous medium", Int. J. Heat Mass Transfer, Vol.28, pp.621-629, 1985.
41.S. E. Larson and D. Poulikakos, "Double diffusion from a horizontal line source in an infinite porous medium", Int. J. Heat Mass Transfer, Vol.29, pp.492-495, 1986.
42.F. C. Lai and F. A. Kulacki, "Coupled heat and mass transfer from a sphere buried in an infinite porous medium", Int. J. Heat Mass Transfer, Vol.33, pp.209-217, 1990.
43.F. C. Lai, "Coupled heat and mass transfer by natural convection from a horizontal line source in an infinite porous medium", Int. Communications in Heat Mass Transfer, Vol.17, pp.489-499, 1990.
44. A. Nakayama and T. Ashizawa, "A boundary-layer analysis of combined heat and mass-transfer by natural-convection from a concentrated source in a saturated porous-medium", Applied Scientific Research, Vol.56, pp.1-11, 1996.
45. 余志輝, "多孔質中結合線熱源熱傳與等質通量壁質傳之混合對流", 國立中央大學化學工程研究所碩士論文,1997.
46.T.Cebecci and P.Bradshaw, "Momentum Transfer in Boundary Layers", pp.231-278, Hemisphere, Washington, 1977.
47.T.Cebecci and P.Bradshaw, "Physical and Computational Aspects of Convective Heat Transfer", pp.385-428, Springer, New York, 1984.
48. H. B. Keller, "A new difference scheme for parabolic problems in numerical solution of partial-differential equations Vol.Ⅱ(J. Bramble, ed)", New York, Acadmic, 1970.
49. B. Gebhart and L. Pera, "The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion", Int. J. Heat Mass Transfer, Vol.14, pp.2025-2050, 1971.
50. R. W. Elliott and H. Watts, "Diffusion of some hydro-carbons in air : A regularity in the diffusion coefficients of a homologous series", Canadian J. Chemistry, Vol.50, pp.31-34, 1972.
51. R. C. Redid, J. M. Prausnitz and Thomas. K. Sherwood, "The Properties of Gases and liquids, 3th ed.", pp.558-559, Mcgraw-Hill Book Company.

指導教授

林孝宗(Shaw-Chong Lin)

審核日期

2000-7-14

推文