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研究生:高悅純
論文名稱:二維氣泡床中氣泡尾流現象之數值模擬
論文名稱(外文):Numerical Study of Bubble Wake Phenomena in a Two-Dimensional Column
指導教授:楊國誠陳榮哲陳榮哲引用關係
學位類別:碩士
校院名稱:國立海洋大學
系所名稱:機械與輪機工程學系
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:1999
畢業學年度:87
語文別:中文
論文頁數:52
中文關鍵詞:氣泡尾流數值模擬氣泡床
外文關鍵詞:bubble wakenumericalbubble column
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氣泡床在現今工業上的應用,已是十分廣泛,一般氣泡在流體內的作用,不外乎為增加流場之混合效果;在某些場合中,氣泡本身也參與流場之化學作用,因此氣泡所造成的流場狀況,會影響氣泡床本身之效率。如何有效利用氣泡所引發之渦旋效應,則為多相流體化床中所亟欲探討之主要課題之一。
由於氣泡床研究之發展至今尚未臻成熟,尤其是在數值模擬的技術上,更是極為短缺。因此,本文以套裝軟體 (Comet) 為基礎,採用液面擷取法來做為自由液面之計算方法,模擬低雷諾數高黏度之氣泡,初步建立套裝軟體在計算低雷諾數小氣泡之能力,確認對照其對於氣泡所引發之尾流場,以冀建立對於氣泡床模擬之能力,發展對實際工業用之氣泡床數值模擬基礎。
The application of bubble column has been widely used in engineering equipment. However, the shape, the wake flow, the rising velocity of the bubbles play the important role in the high operating efficiency and low energy consumption.
In this study, a computational fluid dynamics code, Comet, based on the front capturing method is used to calculate some example satisfactory results are obtained after the numerical calculations in the case of low Reynolds number bubble flow.
第一章 研究動機……………………………………………………………1
1.1前言……………………………………………………………1
1.2文獻回顧………………………………………………………1
1.3本文目的………………………………………………………4
1.4本文架構………………………………………………………4
第二章 數學模式………………………………………………………6
2.1基本假設………………………………………………………6
2.2統御方程式……………………………………………………6
2.3紊流模式………………………………………………………7
2.4自由液面…………………………………………………………9
2.4.1波面追跡法………………………………………………9
2.4.2波面擷取法……………………………………………10
2.5表面張力………………………………………………………11
2.6初始條件………………………………………………………12
2.7邊界條件………………………………………………………12
第三章 數值方法……………………………………………………14
3.1時間項之差分式………………………………………………14
3.2對流項之差分式………………………………………………15
3.3擴散項之差分式………………………………………………15
3.4源項之差分式…………………………………………………16
3.5連立方程式……………………………………………………17
3.6壓力修正式……………………………………………………18
3.7求解程序………………………………………………………19
第四章 結果與討論…………………………………………………21
4.1無因次參數……………………………………………………21
4.2模擬結果………………………………………………………22
4.2.1 Case 1…………………………………………………22
4.2.2 Case 2…………………………………………………23
4.2.3 Case 3…………………………………………………24
4.2.4 Case 4…………………………………………………25
4.2.5 Case 5…………………………………………………26
4.2.6 Case 6…………………………………………………27
第五章 結論及未來展望……………………………………………………29
5.1結論…………………………………………………………………31
5.2未來展望……………………………………………………………30
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2. Darton, R.C. and D. Harrison, "Bubble Wake Structure in Three-Phase Fluidization," Fluidization Technology, vol. 1, pp399-403, 1976.
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4. Chen, R.C. and I.S. Chou, "Quantitative Studies of Bubble Wake Dynamics," First Pacific Symposium on Flow Visualization and Image Processing, Honolulu, HW Feb. 1997.
5. 邱奕興, 使用質點影像測速儀探討氣泡尾流結構, 國立台灣海洋大學碩士論文,1997.
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8. Takgi, S., Matsumoto, Y. and H. Huang, "Numerical Analysis of a Single Rising Bubble Using Boundary-Fitted Coordinate System," JSME International Journal, Series B, Vol. 40, No. 1, pp42-50, 1997.
9. Unverdi, S.O. and G. Tryggvason, "A Front-Tracking Method for Viscous, Incompressible, Multi-fluid Flows," J. Comput. Phys., Vol. 100, pp25-37, 1992.
10. Lanuder, B.E. and D.B. Shalding, "The Numerical Computation of Turblent Flows," Computer Methods in Applied Mechanics and Engineering, Vol. 3, pp. 269-289, 1974.
11. Lanuder, B.E., Pridden C.H. and B.I. Sharma, "The Calculation of Turbulent Boundary Layers on Spinning and Curved Surfaces," ASME J. Fluids Eng., Vol. 99, pp. 231-239, 1977.
12. Patankar, S. V., Numerical Heat Transfer Fluid Flow, Hemisphere Publishing Co, New York, 1980.
13. ICCM GmbH, Comet User Manual, 1997.
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15. Mendelson, H. D. "The Prediction of Bubble Terminal Velocities from Wave Theony," AzCHE J., Vol. 13, pp. 250-253,1967.
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