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研究生:黄水龍
研究生(外文):Huang, Shui-Lung
論文名稱:微型渦輪引擎頸軸承稀薄氣體流道之DSMC法模擬
指導教授:劉東平劉東平引用關係曾培元
學位類別:碩士
校院名稱:國防大學中正理工學院
系所名稱:兵器系統工程研究所
學門:軍警國防安全學門
學類:軍事學類
論文種類:學術論文
論文出版年:2007
畢業學年度:95
語文別:中文
論文頁數:59
中文關鍵詞:DSMC法微型渦輪引擎稀薄氣體流道
外文關鍵詞:DSMC
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本研究嘗試以數值模擬法探討在微尺度下的不同的滑動速度與氣膜厚度對氣體軸承之頸軸承內部複雜流場情形。
在微氣軸承流道中流動的區域可能介於滑動流區(Slip Flow Regime)和過渡流區(Transition Regime)之間,此時若如果將區域中流動狀態視為連體的現象,會導致不正確的結果產生。所以本研究是以蒙地卡羅(Direct Simulation Monte Carlo, DSMC)法依據氣體動力論來進行微頸軸承氣膜通道流場的模擬及計算,主要用來研究以二維之移動壁面之微通道流場來模擬微型氣體軸承之頸軸承流場。
The research tries to use numerical simulation to investigate internal complex flow of the journal bearing of air bearing under the different sliding velocities and the width of air films.
The gas flow in our problem is between the slip flow regime and transition regime. The simulation may lead to inaccurate result at this time, if we still take the flow condition in this regime as a continuum flow. According to molecular gas dynamics, this research uses the DSMC (Direct Simulation Monte Carlo) method to simulate and calculate the flow of the gas film in the micro journal bearing. Our main propose is to study the flow field of two-dimentional micro-channal with moving wall to simulate the simplified configuration of micro gas journal bearing.
誌謝 ……………………………………… ………………………………………ii
摘要 ………………………………………………………………………………iii
表目錄 ………………………………………………………………………………viii
圖目錄 ………………………………………………………………………………viii
符號說明 ………………………………………………………………………………x
1. 緒論 ………………………………………………………………………………1
1.1 研究動機………………………………………………………………………………1
1.2 文獻回顧………………………………………………………………………………4
1.3 研究方法………………………………………………………………………………6
2. 分子動力論之基礎理論………………………………………………………………10
2.1 流場的區域劃分……………………………………………………………………11
2.2 碰撞理論及分子模型………………………………………………………………11
2.2.1 碰撞截面積………………………………………………………………………14
2.2.2 可變硬球分子模型………………………………………………………………15
2.3 Boltzmann方程式…………………………………………………………………17
2.4 Maxwall分布………………………………………………………………………18
2.5 分子碰撞頻率與平均自由路徑………………………………………………………19
3. DSMC之數值方法……………………………………………………………………… 21
3.1 前言………………………………………………………………………………21
3.2 數值模擬的程序………………………………………………………………………22
3.2.1 初始條件的設定……………………………………………………………………22
3.2.2 模擬分子的移動…………………………………………………………………24
3.2.3 模擬分子的標識……………………………………………………………………29
3.2.4 模擬分子的碰撞……………………………………………………………………29
3.2.5 流場性質的取樣……………………………………………………………………32
3.2.6 流場性質的輸出……………………………………………………………………32
4.各算例之結果與討論……………………………………………………………………34
4.1 二維平行板的構型……………………………………………………………………34
4.1.1 前言………………………………………………………………………………34
4.1.2 問題說明與研究方法………………………………………………………………34
4.1.3 DSMC法之相關條件設定……………………………………………………………35
4.1.4 模擬之結果比較與分析 ……………………………………………………………36
4.2 二維背向式微通道構型………………………………………………………………37
4.2.1 前言………………………………………………………………………………37
4.2.2 問題說明與研究方法……………………………………………………………37
4.2.3 模擬之結果分析與結論…………………………………………………………39
4.3 二維階梯式上板拉動之微通道構型………………………………………………41
4.3.1 問題說明與研究方法……………………………………………………………41
4.3.2 DSMC法之相關條件設定………………………………………………………42
4.3.3 模擬之結果比較與分析 ………………………………………………………43
5. 結論與未來展望 ……………………………………………………………………54
5.1 結論 ………………………………………………………………………………54
5.2 未來展望………………………………………………………………………………54
參考文獻………………………………………………………………………………56
自傳………………………………………………………………………………59
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