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研究生: 粘文欣
Nian, Wun-Hsin
論文名稱: 以早期引發渦流促進T形微流道中之混合
Early induction of vortices for mixing enhancement in T-shaped microchannel
指導教授: 吳志陽
Wu, Chih-Yang
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: 2017
畢業學年度: 105
語文別: 中文
論文頁數: 94
中文關鍵詞: 微流體力學渦流引發接頭T形微混合器粒子反向追跡捲入流動
外文關鍵詞: microfluidics, vortex-inducing junction, T-shaped micromixers, particle tracking, engulfment flow
相關次數: 點閱:84下載:3
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  • 本文提出結合渦流引發接頭及平面T形流道形成之微混合器,使流體在第一混合流道產生渦流,當流體到達T形接頭時,讓帶有渦流之流體匯入主流道,以促進流體混合。由於網格法的網格尺寸不夠小,在高培克萊特數下,會有數值擴散的影響,為解決此問題,本研究使用結合流體粒子反向追跡與擴散模式的解法與反向隨機漫步蒙地卡羅法來模擬流體的混合,所得結果顯示兩種模擬能互相驗證。本研究結果顯示,將T形流道入口處接上渦流引發接頭,流體進入主流道前已具渦流,會使渦流加速,當流體進入主流道後能夠增加橫向對流,以促進混合。當雷諾數為130至160,主流道橫截面發展出由兩側渦流結構帶動中央渦流,相較於三個渦流結構能有較好的混合效果。渦流引發接頭同側兩入口注入兩種不同流體,藉由兩流體在早期就增加流體接觸面積,使混合效率增加。最後,本微混合器能在較低的雷諾數下發生捲入流動。與平面T形微混合器相比當雷諾數為120至140,出口混合度相差超過20倍之多,但壓降才相差1.3倍;當雷諾數最高為160時,出口混合度相差了四倍左右,但壓降卻只多了1.4倍,所以此微混合器有較好的混合表現。

    We propose a micromixer constructed by combining vortex-inducing junctions and a planar T-shaped microchannel. The eddies induced by vortex-inducing junctions in the confluent flow into main microchannel may enhance fluid mixing. To reduce numerical diffusion under high Peclet number, a particle tracking method with the diffusion model proposed by Matsunaga is applied to simulate fluid mixing. The results show that injecting two different fluids into both inlets of vortex-inducing junctions will enhance mixing by increasing the interfacial surface between the fluids in early time. Besides, this micromixer increases the area of the interfacial surface between the fluids effectively and causes engulfment flow at lower Reynolds number.

    目錄 摘要 i Extended Abstract ii 誌謝 viii 表目錄 xi 圖目錄 xii 符號表 xviii 第一章 緒論 1 1-1 研究背景與文獻回顧 1 1-2 研究動機 3 1-3 本文架構 4 第二章 流道設計、理論與數值方法 5 2-1 微混合器之設計 5 2-2 基本假設與統御方程式 6 2-3 邊界條件 7 2-4 無因次化 8 2-5 數值模擬 10 2-6 混合度 11 2-6-1 一般平均濃度計算 11 2-6-2速度加權濃度計算 12 第三章 結果與討論 13 3-1 模擬方法之驗證 13 3-1-1 網格法 13 3-1-2 結合流體粒子反向追跡與擴散模式解法 14 3-1-3 蒙地卡羅法 14 3-1-4 三種模擬方法之比較 15 3-2 不同混合度計算方法的結果比較 15 3-3 結合渦流引發接頭之T形流道與單一渦流引發接頭之流道的流動與混合之比較 16 3-4結合渦流引發接頭之T形流道匯流前後之流動與混合隨雷諾數增加之變化 17 (一)渦流引發接頭匯流的作用隨雷諾數變化 17 (二)T形流道匯流的作用隨雷諾數變化 17 (三)T形流道匯流的作用後濃度分布隨雷諾數變化 17 3-5結合渦流引發接頭之T形流道與平面T形流道的流動與混合比較 18 3-6渦流引發接頭同側兩入口以同一或兩種不同流體注入之混合結果 .21 第四章 結論與未來展望 23 4-1結論 23 4-2未來展望 23 參考文獻 24 附錄A 結合流體粒子反向追跡與擴散模式法 28 A-1流體粒子反向追跡 28 A-2流體粒子速度內插 29 附錄B 反向隨機漫步(蒙地卡羅)模擬 35

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