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研究生: 蔡尚樺
Tsai, Shang-hua
論文名稱: 多孔性介質於泰勒庫提流之熱液動分析
Numerical Analysis of Thermal Hydraulic Characteristics of Porous Medium in Taylor-Couette Flow
指導教授: 張錦裕
Jang, Jiin-Yuh
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2011
畢業學年度: 99
語文別: 中文
論文頁數: 63
中文關鍵詞: 旋轉圓柱多孔性介質泰勒庫提流
外文關鍵詞: rotating cylinders, porous medium, Taylor-Couette flow
相關次數: 點閱:93下載:2
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  • 泰勒庫提流存在於具旋轉內壁之同心圓柱間,此乃旋轉運動的離心力誘發產生的渦漩流場。了解渦漩流動機制能有效幫助評估其伴隨的效益。大體而言,渦漩能增加內外壁的熱傳及流體質傳效果,應用於同軸旋轉之機械設備、化工生產設備及生物醫學過濾設備等,不同應用場合其工作流體的複雜程度也有所不同。本文使用數值方法及多孔性介質流動模型簡化同心圓柱間的複雜幾何與流體特性,並探討無因次參數:雷諾數(300 ≤ Reω ≤1300)、普蘭特數(1 ≤ Pr ≤ 100)、孔隙率(0.2 ≤ ε ≤ 0.6)、達西數(0.0025 ≤ Da ≤ 2.5)、細長比(4 ≤ A ≤ 20)對外管壁之紐賽數的影響。
    本文提供定性與定量上的說明泰勒庫提流產生的的熱對流效果主要受到操作條件(Reω)、流體性質(ε、Da、Pr)及幾何外型(A)影響。結果顯示平均紐賽數隨雷諾數、孔隙率、達西數、普蘭特數可用次冪關係表示,並歸納出一組關係式。而當達西數大於0.25及細長比大於8,對平均紐賽數的影響則不明顯。

    The thermal-hydraulic characteristics of porous medium in Taylor- Couette flow between two horizontal concentric rotating cylinders were investigated. Centrifugal force induced by rotation enhanced the heat and mass transfer. However, fluid properties were more complex in different application, such as Groundwater Hydrology, Petroleum Reservoir, Chemical and Petroleum Engineering, Biomass Energy, and Heat Exchanger Analysis. The flow model of porous medium was adopted to approximate the flow over the complex geometry and fluid properties.
    Various Reynolds number, porosity, Darcy number, Prandtl number and aspect ratio were evaluated in detail to discuss the effects on Nusselt number. The result indicated that the average Nusselt number was increased with Reynolds number, porosity, Darcy number, Prandtl number. Various aspect ratio generated various pair of vortexes. The average Nusselt number were increased with more pair of vortexes on the domain. But the effect of aspect ratio decrease as the aspect ratio > 8. The correlation was established.

    摘要 I Abstract II 誌謝 III 目錄 V 表目錄 VII 圖目錄 VIII 符號說明 X 第一章 緒論 1 1.1 前言 1 1.2 文獻回顧 2 1.3 研究目的 5 第二章 理論分析 8 2.1 多孔性介質簡介 8 2.2 物理模型 10 2.3 統御方程式 10 2.3 邊界條件 12 2.4 無因次化統御方程式 13 2.5 熱傳係數之計算 14 第三章 數值分析 17 3.1 數值方法 17 3.2 網格測試 24 第四章 結果與討論 30 第五章 結論 56 參考文獻 58 附錄 61

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