臺灣博碩士論文加值系統

本研究應用計算流體力學套裝軟體Fluent進行二維振動翼的流體動力分析，探討仿魚類尾鰭推進的力學機制。利用Fluent進行計算是以動態網格進行非穩態流場模擬，先以純起伏運動之結果與勢流理論小板法及Theodorson的二維薄翼振動解析解進行交叉比較，以驗證本方法的正確性。其次，本研究進行二維振動翼起伏與縱搖耦合運動下的非穩態流場計算，所得推力係數、功率係數及推進效率之系列數值計算結果與勢流理論小板法以及Triantafyllou論文之實驗結果進行比較，確認本研究計算之有效性。在此基礎上，期望後續能進行串列雙振動翼流場交互作用之數值計算分析，以作為開發仿生助推器之分析工具。

Present study is focused on the numerical calculation of hydrodynamic forces of an oscillating foil in order to clarify the propulsion mechanism of the fish caudal fin. The CFD software package of FLUENT is applied to simulate the unsteady two-dimensional flow field of a reciprocating heaving and heave-pitch coupled foil of a NACA0012 section with forward speed. The lift coefficients at varied heave frequencies are obtained and compared with those obtained by Panel Method and Theodorson’s function, which are potential flow based numerical solution and analytic solution respectively.
Furthermore, the results of the thrust coefficient, power coefficient and propulsive efficiency in heave-pitch coupled motion are also compared with Panel Method and the experimental value of Triantafyllou. The final goal of the present CFD simulation is to carry out parametric study on the flow field and hydrodynamic forces of a bio-mimetic booster which is composed of two oscillating foils in series.

中文摘要-------------------------------------------------一
英文摘要-------------------------------------------------二
目錄-----------------------------------------------------三
表目錄---------------------------------------------------五
圖目錄---------------------------------------------------六
符號說明-------------------------------------------------八
第一章 緒論-----------------------------------------------1
1.1 研究動機與背景--------------------------------------1
1.2 本文架構--------------------------------------------3
第二章 數學模式-------------------------------------------4
2.1 座標系----------------------------------------------4
2.2 運動參數--------------------------------------------4
2.3 流體動力係數及性能係數------------------------------7
第三章 統御方程式與數值方法------------------------------10
3.1 統御方程式-----------------------------------------10
3.2 離散方式 -----------------------------------------11
3.2-1空間域離散--------------------------------------11
3.2-1時間域離散--------------------------------------13
3.3 邊界條件-------------------------------------------14
3.4 數值方法-------------------------------------------15
3.5 動網格分佈以及網格數值方法-------------------------16
第四章 計算結果與討論------------------------------------21
4.1 純起伏運動-----------------------------------------21
4.2 縱搖與起伏偶合運動---------------------------------23
4.2-1 計算例-----------------------------------------23
4.2-2 流場觀察---------------------------------------29
第五章 結論與展望----------------------------------------34
參考文獻-------------------------------------------------35
附錄A----------------------------------------------------37
附錄B----------------------------------------------------38
附錄C----------------------------------------------------41
附錄D----------------------------------------------------45
附錄E----------------------------------------------------59

[1] 吳昌政 (2004) "振動翼流體動力時域計算法之研究"，國立台灣大學論文。
[2] 王福軍等 (2005) "計算流體動力學分析—CFD軟件原理與應用"，北京清華大學出版社。
[3] 蔡旻育 (2007) "水下滑翔機之流體動力分析"，國立台灣大學論文。
[4] Triantafyllou, G.S., M.A. Grosenbaugh & M.S. Triantafyllou (1993) “Optimal thrust development in oscillating foils with application to fish propulsion,” Journal of Fluid Mechanics 7,205~224.
[5] Videv, Todor A., Yasuaki Doi & Kazu-hiro Mori (1993) “Numerical Study of Flow and Thrust Produced by Heaving and Combined Oscillations of 2D Hydrofoil,” Faculty of Engineering, Hiroshima University.
[6] Anderson J.M., K. Streitlien., D.S. Barrett, & M.S. Triantafyllou (1998) “Oscillating foils of high propulsive efficiency,” Journal of Fluid Mechanics 360,41~72.
[7] Charles Hirsch (2007) “Numerical Computation of Internal and External Flows,” John Wiley & Sons, Ltd.
[8] Stuart Dalziel (1998) “Numerical Methods Natural Sciences Lecture Notes,” Department of Applied Mathematics and Theoretical Physics, University of Cambridge.
[9] 邱逢琛、陳宣宏 (1995) ”軸對稱潛體流體動力係數之模型試驗分析”，NTU-NAOE-Tech. Report 487。
[10] ANSYS/FLUENT 台灣區應用論文集 (2007)。
[11] I.G. Currie (1993) “Fundamental Mechanics of Fluids,” McGraw-Hill Book Co.
[12] Albert E. Von Doenhoff, Ira H. Abbott (1959) “Theory of Wing Sections,” Dover Publications, Inc.
[13] 雷聲遠 (1996) “近代計算流體力學”，全華科技圖書股份有限公司。
[14] 韓占忠等 (2004) “FLUENT—流體工程仿真計算實例與應用”，北京理工大學出版社。