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研究生: 郭秉奇
Kuo, Ping-Chi
論文名稱: 無閥式微泵之微擴流器/噴嘴流場分析及性能研究
Flow analysis and performance study of micro-diffuser/nozzle in valveless micro-pump
指導教授: 王逸君
Wang, Yi-Chun
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: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 99
中文關鍵詞: 擴流器效率壓力損失係數平板形微擴流器/噴嘴
外文關鍵詞: Pressure loss coefficient, Diffuser, Planar micro-diffuser/nozzle
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  • 摘要
    本研究主要目的為探討雷諾數在100~1500 的範圍內,平板形微擴流
    器/噴嘴之壓力損失係數與流場變化。利用計算流體力學軟體FLUENT 針對細長比為2.5~15,擴張角為5°~100°之平板形擴流器/噴嘴進行穩態流場模擬,瞭解擴流器/噴嘴損失係數與流場變化之間的關係,並計算擴流器效率。同時進一步探討擴流器/噴嘴元件兩側銜接直管或儲液槽對損失係數及流場的影響。結果發現,就擴流器方向的流動而言,流場的分離導致回流的產生,不僅改變了分離點之後的速度分布,也一定程度降低了壁面剪應力的大小,造成擴流器損失係數在小擴張角及大擴張角範圍內呈現相反的變化趨勢。而噴嘴損失係數隨擴張角的變化則較單純,損失係數隨擴張角的增加而下降。擴張角在30° 以下,細長比為7.5 之擴流器/噴嘴元件,其擴流器效率均大於一,其中當擴張角為10° 時,擴流器效率為最佳。若增加其細長比,則可明顯改善擴流器效率。反之,若擴張角在50° 以上,則擴流器效率小於一,且其整流效率相當不理想。

    Abstract
    The primary purpose of this study is to investigate the pressure loss coefficient and the flow behavior of planar micro-diffusers/nozzles at low Reynolds numbers between 100 and 1500. Steady flow simulations of the diffusers/nozzles with diverging angles ranging from 5° to 100° and with slenderness ranging from 2.5 to 15 are done by using the computational fluid dynamics package FLUENT. Computational results help to identify the relationship between the pressure loss coefficient and the flow behavior and are used to calculate the diffuser efficiency. We also compare the difference between the diffusers/nozzles connected between two reservoirs and two
    parallel ducts. Results show that, in the diffuser direction, flow separation induces a back flow and changes the velocity distribution and, therefore, the magnitude of wall shear stress after the separation point. These effects lead to opposite trends of the variation of pressure loss coefficient for small and large diffuser angles. On the other hand, the pressure loss coefficient of the nozzle flow simply decreases with increasing diverging angle for all Reynolds numbers. For diffusers/nozzles with a fixed slenderness of 7.5 and diverging angles less than 30° , the diffuser efficiencies are found all greater than one. The optimal efficiency of the diffuser is found at the diverging angle of 10°
    and can be further improved by increasing the slenderness. For diverging angles greater than 50° , the diffuser efficiency is less than one and results in a poor rectification efficiency.

    目錄 中文摘要..................................................I 英文摘要.................................................II 目錄.....................................................IV 表目錄................................................. VII 圖目錄................................................ VIII 符號說明............................................... XII 第一章 緒論.............................................. 1 1-1 前言................................................. 1 1-2 文獻回顧............................................. 3 1-3 無閥式微泵.......................................... 11 1-3-1 工作原理.......................................... 11 1-3-2 整流效率與擴流器效率之關係........................ 12 1-4 研究動機............................................ 13 第二章 平板形擴流器/噴嘴之壓力損失係數及擴流器效率.......16 2-1 因次分析(Dimensional analysis).................... 16 2-2 擴流器/噴嘴之一維理論模型........................... 20 2-2-1 擴流器/噴嘴之壓力損失係數......................... 20 2-2-2 動能修正因子(kinetic energy correction factor).. 22 2-2-3 擴流器/噴嘴之總損失係數與擴流器效率............... 23 第三章 擴流器流場幾何模型與邊界條件..................... 27 3-1 擴流器/噴嘴之計算模型............................... 27 3-1-1 擴流器/噴嘴兩端銜接直管之模擬研究................. 27 3-1-2 擴流器/噴嘴兩端銜接儲液槽之模擬研究............... 28 3-2 基本假設與邊界條件.................................. 31 3-2-1 基本假設.......................................... 31 3-2-2 邊界條件.......................................... 31 3-3 FLUENT 設定......................................... 32 3-3-1 統御方程式........................................ 32 3-3-2 演算法、數值離散方法與收斂準則.................... 33 3-4 網格形態與網格獨立性測試............................ 35 第四章 模擬驗證......................................... 40 4-1 與Artyushkina 實驗數據之比較........................ 40 4-1-1 幾何模型與邊界條件................................ 41 4-1-2 比較模擬結果與實驗數據............................ 42 4-2 與Hsu 實驗數據之比較................................ 44 4-2-1 幾何模型與邊界條件................................ 44 4-2-2 模擬結果與實驗數據之比較.......................... 45 第五章 擴擴流器/噴嘴入出口銜接直管之模擬結果與討論...... 48 5-1 動能修正因子對擴流器/噴嘴損失係數之影響............. 48 5-2 擴張角對擴流器/噴嘴損失係數之影響................... 51 5-3 雷諾數對擴流器/噴嘴損失係數之影響................... 57 5-4 擴流器/噴嘴入口流場形態對損失係數之影響............. 60 第六章 擴流器/噴嘴入出口銜接儲液槽之模擬結果與討論...... 65 6-1 比較擴流器/噴嘴兩側銜接儲液槽與直管之損失係數....... 65 6-2 擴流器/噴嘴之總壓力損失係數分析..................... 73 6-2-1 擴流器/噴嘴入口損失係數........................... 75 6-2-2 擴流器/噴嘴損失係數............................... 78 6-2-3 擴流器/噴嘴出口損失係數........................... 80 6-2-4 擴流器/噴嘴總損失係數之修正....................... 85 6-3 擴流器效率分析...................................... 89 6-3-1 不同角度下之擴流器效率............................ 89 6-3-2 不同細長比之擴流器效率............................ 90 第七章 結論............................................. 95 參考文獻................................................ 97

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