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研究生: 盧俊利
Lu, Jun-li
論文名稱: 非平面繞道管格點與流場研究
Grid Generation and Flow Field in a Non-Planar Bypass Tube
指導教授: 李定智
Lee, Den-z
學位類別: 碩士
Master
系所名稱: 工學院 - 航空太空工程學系
Department of Aeronautics & Astronautics
論文出版年: 2003
畢業學年度: 91
語文別: 中文
論文頁數: 105
中文關鍵詞: 壁面剪應力非平面格點產生繞道管迴流
外文關鍵詞: Grid Generation, Reversed Flow, Bypass Tube, Wall Shear Stress, Non-Planar
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  • 本文係設定一特定非平面繞道管型態的幾何外型與基本平面繞道管血液流場做比較,並分析其流場的速度分佈、剪應力(率)分佈、迴流區位置之間的差異性。
    研究的方法是利用SIMPLER為主要的運算法,採用有限控容法,配合非交錯式格點與邊界契合座標對流場進行模擬。並使用區域式格點法,將整個流場分區計算,再透過界面處理將各區連接起來,即可得到完整的流場解。分析結果顯示,繞道管附近的流場會因為幾何形狀的改變而易出現異常流況。非平面繞道管扭轉的角度愈大,愈易增加迴流區分佈面積、壁面剪應力變化也較劇烈。

    Blood flow filed of planar and non-planar bypass tubes are compared in the present study. We observe and discuss the velocity profiles and distribution of the wall shear stress and the locations of flow reversed region are presented.

    The simulation of flow field employs SIMPLE-R algorithm with finite volume method, non-staggered grid and boundary fitted coordinate. Finite volume method is extremely limited in the physically complex flow field. As for the grid generation, the whole field is divided into three sub-regions which can be more easily calculated. Calculations are performed iteratively in the three sub-regions. Treatment of interface is discussed briefly.

    中文摘要 ...............................................Ⅰ 英文摘要 ...............................................Π 誌 謝 ...............................................Ⅲ 目 錄 ................................................Ⅳ 圖 目 錄 ................................................Ⅶ 符號說明 ……………………………………………………………XII 第一章 緒論 ……………………………………………1 1-1 簡介 …………………………………………………………1 1-2 文獻回顧 ……………………………………………5 1-3 研究動機 ……………………………………………9 1-4 研究目的 …………………………………………………9 第二章 統御方程式與數值方法 ………………………………10 2-1 統御方程式 …………………………………………………10 2-2 座標轉換………………………………………………………11 2-3 數值方法………………………………………………………13 2-3-1 動量方程式之離散化…………………………………13 2-3-2 動量內插法……………………………………………16 2-3-3 第一壓力修正方程式 …………………………………18 2-3-4 第二壓力修正方程式………………………………19 2-3-5 邊界條件……………………………………………………19 2-3-6 收斂標準 …………………………………20 2-4 計算過程 ………………………………………………21 第三章 格點系統的產生……………………………………………22 3-1 格點產生的方法 ……………………………………………22 3-2 區域格點法 …………………………………………………23 3-2-1 界面處理 ………………………………………………23 3-2-2 計算程序 ………………………………………………26 3-3 非平面繞道管格點外型建構 ………………………………26 3-3-1 外形參數定義 ……………………………………………26 3-3-2 非平面繞道管扭轉外型的建立 …………………………27 3-3-3 外型格點建造測試 ………………………………………28 第四章 結果與討論 ……………………………………………30 4-1 基本外型及流場中各項參數 ………………………………30 4-1-1 基本外型 …………………………………………………30 4-1-2 參數定義 …………………………………………………31 4-2 非平面繞道管基本流場之流場分析…………………32 4-3 不同雷諾數對流場的影響……………………………34 4-3-1繞道管各區速度剖面分佈表現……………………………34 4-3-2繞道管剪應率分佈情況……………………………………36 4-3-3迴流區分佈位置及所佔面積大小的影響…………………37 4-3-4壁面剪應力分佈位置及所佔面積大小的影響……………38 4-4 不同平面扭轉角度差對流場的影響…………………38 4-4-1繞道管各區速度剖面分佈表現……………………………38 4-4-2繞道管剪應率分佈情況……………………………………39 4-4-3迴流區分佈位置及所佔面積大小的影響…………………40 4-4-4壁面剪應力分佈位置及所佔面積大小的影響……………41 第五章 結論……………………………………………………………43 參考文獻 ………………………………………………………………46 附 錄 ………………………………………………………………50自 述………………………………………………………………104

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