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研究生:吳昌政
研究生(外文):Chang-Cheng Wu
論文名稱:振動翼流體動力時域計算法之研究
論文名稱(外文):Study on the Time Domain Calculation of Hydrodynamic Forces of Oscillating Foils
指導教授:邱逢琛邱逢琛引用關係
指導教授(外文):Forng-Chen Chiu
學位類別:碩士
校院名稱:國立臺灣大學
系所名稱:工程科學及海洋工程學研究所
學門:工程學門
學類:綜合工程學類
論文種類:學術論文
論文出版年:2004
畢業學年度:92
語文別:中文
論文頁數:60
中文關鍵詞:史徹赫數推進效率尾鰭振動翼小板法
外文關鍵詞:panel methodoscillation foilscaudal finStrouhal numberpropulsive efficiency
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  • 被引用被引用:4
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本研究著眼於魚類尾鰭推進的力學機制,以穩態小板法為基礎,擴充至二維振動翼非穩態流場計算,建構尾緣渦流模式及數值計算程式,先與Theodorson的二維薄翼振動解析解進行比較,以驗證本方法的正確性。其次,再引用Triantafyllou所進行的二維翼起伏與縱搖耦合運動下的推力係數、功率係數及推進效率之系列實驗分析結果作為比較驗證的依據。各種起伏振幅、名目攻角及史徹赫數的系列計算結果顯示名目攻角越小其效率越高之趨勢。而在名目攻角固定下,起伏振幅越大則推進效率越佳。此外,產生最佳效率的史徹赫數約在0.15附近,此計算結果與Triantafyllou的實驗所顯示,在小攻角狀態不發生前緣剝離渦流的條件下所得到的結果是一致的。但是在大振幅與大攻角的運動狀態下,其推進效率的理論計算值與Triantafyllou的實驗值則有較顯著的差異,其原因在於前緣剝離渦流發生的效應尚未納入本研究的渦流模式中予以適當模擬所致。
Based on the steady panel method, this study explores the mechanism of caudal fin and further explains oscillation foils under two dimensional unsteady flow field. The validity of the presented study method is compared with the theoretical analysis of the two-dimensional flat plate foil from Theodorson, and with the experimental results from Triantafyllou by examining the thrust coefficient, power coefficient, and propulsive efficiency of a two-dimensional foil under heaving and pitching motion. A series of calculation suggests that the smaller the nominal attack angle, the greater the propulsive efficiency. In addition, the results indicate that the best efficiency is yielded when Strouhal number equals approximately 0.15, which agrees to the results from Triantagyllou’s experiment where no leading edge vortex was assumed.
Nevertheless, under large heave amplitude and large attack angle, the propulsive efficiency from the presented study method differs significantly from that of Triantafyllou’s experiment. This is due to the lack of consideration of the leading edge vortex in the wake model presented.
中文摘要-------------------------------------------------一
英文摘要-------------------------------------------------二
目錄-----------------------------------------------------三
表目錄---------------------------------------------------六
圖目錄---------------------------------------------------七
符號說明-------------------------------------------------九
第一章 緒論---------------------------------------------1
1.1 研究背景--------------------------------------------1
1.2 文獻回顧--------------------------------------------2
1.3 本文架構--------------------------------------------3
第二章 理論基礎-----------------------------------------4
2.1 座標系----------------------------------------------4
2.2 振動翼的主要運動參數--------------------------------4
2.3 統御方程式及邊界條件--------------------------------6
2.4 流體動力係數及性能係數------------------------------8
第三章 數值計算方法------------------------------------11
3.1 翼形的位置與姿態-----------------------------------11
3.2 離散化---------------------------------------------12
3.3 跡流模式-------------------------------------------13
3.3-1 跡流的位置-------------------------------------13
3.3-2 跡流的強度-------------------------------------14
3.3-3 跡流項的速度勢---------------------------------14
3.3-4 跡流項的離散化---------------------------------15
3.4 翼形表面切線速度-----------------------------------15
3.5 流程圖---------------------------------------------17
第四章 計算結果與討論----------------------------------18
4.1 供試翼形-------------------------------------------18
4.2 計算條件-------------------------------------------18
4.3 數值計算-------------------------------------------19
4.3-1 小振幅簡諧起伏運動-----------------------------19
4.3-2 起伏振幅 =0.25與縱搖耦合之運------------------20
4.3-3 起伏振幅 =0.5與縱搖耦合之運動-----------------20
4.3-4 起伏振幅 =0.75與縱搖耦合之運動----------------20
4.3-5 相同攻角、不同起伏振幅之間的比較---------------- 21
4.4 數值計算與實驗數據之比較--------------------------- 21
4.4-1 推進係數與推進效能之比較----------------------- 21
4.4-2 實驗數值與非黏性流之比較-----------------------22
第五章 結論與展望--------------------------------------24
參考文獻-------------------------------------------------26
附錄A----------------------------------------------------53
附錄B----------------------------------------------------57
附錄C----------------------------------------------------58
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[2] Lighthill,M.J. 1975 Mathematical Bioflui ddynamics . Phil- adelphia:Society for Industrial and Applied Mathematics.

[3] Wu,T.Y. 1961 Swimming of a waving plate. Journal of Fluid Mechanics 10,321~344

[4] Wu,T.Y. 1971a Hydromechanics of swimming propulsion.Part 1.Swimming of a two dimensional flexible plate at variable forward speeds in an inviscid fluid. Journal of Fluid Mechanics 46,337~355.
Wu,T.Y. 1971b Hydromechanics of swimming propulsion.Part 2,Some optimum shape problems. Journal of Fluid Mechanics 46,521~544.
Wu,T.Y. 1971c Hydromechanics of swimming propulsion.Part 3,Swimming and optimum movement of slender fish with side fin. Journal of Fluid Mechanics 46,545~568.

[5] Chopra,M.G 1974 Hydromechanics of lunate-tail swimming propulsion. Journal of Fluid Mechanics 64,375~391.

[6] Chopra,M.G 1976 Large amplitude lunate tail theory of fish locomotion. Journal of Fluid Mechanics 74,161~182.

[7] Chopra,M.G 1977 Hydromechanics of lunate tail swimming propulsion:Part 2. Journal of Fluid Mechanics 79,49~169.

[8] Koochesfanani,M 1989 Vertical patterns in the wake of an oscillating airfoil. AIAA Jornal 27,1200-1205.

[9] Ohmi,K.,Coutanceau,M.,Daube,O.& Loc,T.P. 1991 Further experiments on vortex formation around an oscillating and translating airfoil at large incidences. Journal of Fluid Mechanics 225,607~630.

[10] Triantafyllou,G.S.,Grosenbaugh,M.A.,& Triantafyllou,M.S. 1993
Optimal thrust development in oscillating foils with application to fish propulsion. Journal of Fluid Mechanics 7,205~224.

[11] Ohmi,K.,Coutanceau,M.,Loc,T.P.& Dulieu,A.1990 Vortex formation around an oscillation and translating airfoil at large incidences. Journal of Fluid Mechanics 211,37~60.

[12] Mccroskey,W.J.1982. Unsteady airfoils. Annual Review of Fluid Mechanics 14,285-311.

[13] Triantafyllou,M.S.,Anderson J.M.,Streitlien.K. & Barrett,D.S 1998 Oscillating foils of high propulsive efficiency. Journal of Fluid Mechanics 360,41~72.

[14] Joseph Katz,and Allen Plotkin, Low-speed aerodynamics:from wing theory to panel ,methods,McGraw-Hill book company,New York 1991.

[15] 劉仁聞,”利用B木條曲線及偶流計算二維水翼流場之高階小板法”,碩士論,1997

[16] 黃崇智,Smith A.M.O.,”小板計算法”NTU_INA,Apr.,1990.

[17] Triantafyllou,M.S.,& Streitlien ,K 1995 Force and moment on a joukowski profile in the presence of point vortices.AIAA 33,603~610

[18] Ira H.Abbott & Albert E Von Doenhoff “Theory of wing sections”,1959
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