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晶格波茲曼模擬微結構反應器流場之研究

Investigations for Micro-reactor Flow Using the Lattice Boltzmann Method

作者：任庭鋒
畢業學校：國立成功大學
出版單位：國立成功大學
核准日期：2006-07-12
類型：Electronic Thesis or Dissertation
權限：Copyright information available at source archive--National Cheng Kung University....

中文摘要

近十年裡，晶格波茲曼方法(Lattice Boltzmann Method，LBM)已發展成為相當重要的一項研究工具。在本文的研究中，我們使用晶格波茲曼方法來計算模擬分析在微管道裡微陣列反應器的反應效率，利用加熱方式使多孔性的固體結構與流體物質發生反應，以生成我們所需要的產物，達成微陣列反應器的目的。我們針對管道中熱源位置的不同設計了兩種模型，並分析多孔性阻擋塊其中細部的流場與溫度場之間相關的物理現象，以達到在多孔性結構中真實孔隙尺度(pore scale)以及滿足非連續體(continum)的要求。接著，進而使用化學反應律(Arrhenius Law)來建構一個簡單的化學反應估算工具，依多孔性結構的反應比以及反應範圍所佔阻擋塊的比例多寡，來評估化學反應效率。模擬結果發現，當熱源在阻擋塊下方時，在低的高寬比和低雷諾數時，阻擋塊內反應比達50%的區域佔總體阻擋塊的比例最高；而當熱源在阻擋塊前方時，以高的高寬比和高雷諾數有較好的反應效率。

英文摘要

In the last decade, Lattice Boltzmann method, an useful and powerful tool for many studies, has been developed. In this present study, the reaction efficiency of a micro reactor in a micro-channel is analyzed. Solid porous structure reacts with the fluid by heating to produce the desired product. For the location of the heat source in the micro-channel, we design two different kinds of model to analyze the phenomenon between flow field and temperature field in the porous block in detail. In order to satisfy the pore scale in the porous structure and non-continum condition, the Lattice Boltzmann method is a suitable tool for simulation. A simple and convenient model to evaluate the efficiency of chemical reaction is proposed. Finally, we present the optimal reaction results for micro reactor using this simple model based on the present investigation.

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中文摘要................................................I
Abstract...............................................II
誌謝................................................III
目錄.................................................IV
表目錄.................................................VI
圖目錄................................................VII
符號說明...............................................IX
第一章序論.............................................1
1-1 研究背景與動機 ..................................... 1
1-2 文獻回顧............................................3
1-2.1 有關多孔性材質的相關文獻..........................3
1-2.2 有關熱傳導現象的相關文獻..........................5
1-2.3 有關晶格波茲曼數值方法的相關文獻..................6
1-3 研究內容與方向......................................7
第二章理論模式.........................................9
2-1 物理模型............................................9
2-2 晶格波茲曼法(Lattice Boltzmann Method).............11
2-2.1 關於描述流場運動行為的晶格波茲曼方法.............11
2-2.2 關於描述溫度/濃度擴散和對流的晶格波茲曼方法......16
2-3 邊界與初始條件.....................................17
2-3.1 流場初始條件設定.................................17
2-3.2 流場邊界條件設定.................................18
2-3.3 溫度場初始條件設定...............................20
2-3.4 溫度場邊界條件設定...............................21
2-4 數值方法的驗證.....................................22
第三章成果分析........................................28
3-1 研究模型與設計 .....................................28
3-2 流場結果分析與討論.................................30
3-3 溫度場結果分析與討論...............................33
3-4 表面化學反應率結果分析與討論.......................41
第四章結論與建議......................................46
4-1 結論...............................................46
4-2 未來展望與建議.....................................48
參考文獻...............................................50
自述..................................................81

口試委員 - 駱文傑

口試委員 - 黃吉川

指導教授 - 楊瑞珍

口試委員 - 傅龍明

口試委員 - 林三益

Micro Reactor

Porous Media

Lattice Boltzmann Method

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