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研究生: 何柏諭
Ho, Po-Yu
論文名稱: 熱泳與電泳效應對於垂直波形板上混合對流流場中微粒沉積之影響
Combined Effects of Thermophoresis and Electrophoresis on Particle Deposition in Mixed Convection Flow onto a Vertical Wavy Plate
指導教授: 陳朝光
Chen, Chao-Kuang
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: 94
中文關鍵詞: 波形板熱泳效應電泳效應三次樣線
外文關鍵詞: wavy plate, thermophoresis, electrophoresis, cubic spline
相關次數: 點閱:112下載:5
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  • 本文研究主題為垂直波形板上混合對流流場中熱泳效應與電泳效應對於氣膠懸浮微粒沉積效率之影響,所討論的流場條件為二維不可壓縮層流。本文中統御方程式由完整Navier-Stokes方程式開始,依次進行無因次化、座標轉換等步驟後將物理模型中的不規則表面展開至具規則邊界的計算平面上,最後配合三次樣線定置法(Cubic Spline Collocation Method)進行數值求解。
    研究結果顯示出當微粒直徑越小時,其沉積效應就越容易受到熱泳效應與電泳效應的影響。在環境溫度與壁面的溫度差越大、電場強度越大以及微粒尺寸越小的條件下,流場即可呈現出較高的沉積效率。在微粒尺寸逐漸增大到1 之後,溫度差與電場對於微粒沉積的影響力就會大幅地降低。本文中討論的波形板面會造成沉積效率、熱傳效率與表面摩擦係數等無因次參數顯現出與波形相同頻率的波動情形。

    This study focused on the effect of thermophoresis and electrophoresis on deposition rate of aerosol particles over a vertical wavy plate in a mixed convection flow. The discussed flow condition is under two-dimensional incompressible laminar flow. The governing equations were derived from the original complete Navier-Stokes equations, later with the process of nondimensionalization, coordinate transform and then change the irregular boundary of the physical model into the regular boundary computational plane. Finally, the Cubic Spline Collocation Method was used to get the numerical answers.
    The results shown that as the particle dimension became smaller, then the deposition rate may be more easily to be effected by thermophoresis and electrophoresis. When the temperature difference of the environment and the wavy plate became larger, the electrical field became stronger or the particle dimension became smaller, then the flow field could have higher deposition efficiency. As the particle diameter progressively increased to 1 , the effect of temperature gradient and electrical field on deposition rate may dramatically decrease. The wavy plate discussed in this study caused the dimensionless deposition rate, heat transfer rate and the surface friction coefficient to have the same fluctuation frequency as the wavy plate.

    摘要 I Abstract II 誌謝 III 目錄 IV 表目錄 VI 圖目錄 VII 第一章、導論 1 1-1 研究動機及其背景 1 1-2 文獻回顧 4 1-3 研究方法 5 1-4 本文架構 6 第二章、數值方法 8 2-1 三次樣線函數的由來 8 2-2 三次樣線的數學理論 10 2-3 利用三次樣線函數求解偏微分方程式 13 2-4 邊界條件之處理 15 第三章、理論分析 19 3-1 理論模型 19 3-2 輻射效應理論 28 3-3 無因次參數推導 29 3-4 數值分析 33 第四章、結果與討論 41 4-1 不同振幅的影響 44 4-2 不同Richardson數與不同微粒直徑的影響 50 4-3 輻射效應的影響 53 4-4 與強制對流流場之比較 56 第五章、結論與展望 85 5-1 結論 85 5-2 建議及展望 86 參考文獻 88

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