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研究生: 劉慶六
Liu, Ching-Liu
論文名稱: 薄板於二維平行板間流作往復運動之流場研究
Flow around an Oscillating Thin Plate Immersed in a 2D Channel Flow
指導教授: 李雄略
Lee, Shong-Leih
口試委員: 陳志臣
Chen, Jyh-Chen
陳寒濤
Chen, Han-Taw
學位類別: 碩士
Master
系所名稱: 工學院 - 動力機械工程學系
Department of Power Mechanical Engineering
論文出版年: 2018
畢業學年度: 106
語文別: 中文
論文頁數: 57
中文關鍵詞: 計算流體力學零厚度平板週期擺動
外文關鍵詞: CFD, zero thickness, flat plate, periodic vibration
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  • 本文採用隱式虛擬邊界法於非交錯性直角座標網格系統,模擬流體流經一片來回運動薄板之問題,由於此方法解決了零厚度平板之沉浸邊界和移動邊界問題,並搭配補綴網格的使用,使計算速度可大幅提升並保持答案之精確性。使用此方法在進行求解時,無須將薄板設定為有厚度的長方形,薄板在轉動時,網格也不需要隨著邊界的改變重新建立,並且成功模擬出來回運動薄板之流場,由模擬結果可獲得許多不同以往之想法。經由本文成功解決流體流經一片來回運動薄板之研究問題後,便可利用模擬所獲得的入口壓力之結果,判斷薄板擺放角度、流體雷諾數、平板間距和薄板擺動角速度對於薄板在二維平行板間流產生了多少的阻力。


    Flow over an oscillating thin flat plate is solved with the implicit virtual boundary method in the present study. This method can not only solve the immersed boundary problem for a zero thickness flat plate accurately but also use a patch grid to reduce the calculating time and keep the accuracy at the same time. Furthermore, this method does neither assume the plate as rectangular geometries with thin thickness nor rebuild grid system with moving boundary when plate is rotating. Due to the successful simulation in this case, ideas different from the past can be gained. After solving the problem successfully, the entrance pressure may be got to predict how the drag varies with the angle of plate, Renold number, distance between two plates and angle velocity of vibration.

    摘要 I ABSTRACT II 目錄 III 圖目錄 V 符號表 VII 第一章序論 1 1.1 前言 1 1.2 文獻回顧 1 1.3研究方法與目的 4 第二章數值方法 5 2.1問題描述 5 2.2統御方程式 5 2.3網格系統 6 2.4隱式法 7 2.5 NAPPLE法則 7 2.6虛擬邊界法 10 2.7計算強制點 11 2.8外加強制力修正 14 2.9鬼點計算 15 2.10零厚度沉浸物體計算 15 2.11收斂判別式 16 第三章案例模擬 17 3.1均勻二維平板間流流過一傾斜且固定之零厚度薄板 17 3.2均勻二維平板間流中一薄板進行周期性擺動 24 第四章結論 28 參考文獻 30 附圖 32

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