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研究生: 錢建羱
Chien, Chien-Yuan
論文名稱: 用CFD分析Slingsby T-67 Firefly的螺旋槳–全機交互作用現象
A CFD Study on Propeller–Airframe Interaction: Application to the Slingsby T-67 Firefly Aircraft
指導教授: 陳文立
Chen, Wen-Lih
學位類別: 碩士
Master
系所名稱: 工學院 - 航空太空工程學系
Department of Aeronautics & Astronautics
論文出版年: 2026
畢業學年度: 114
語文別: 中文
論文頁數: 158
中文關鍵詞: T-67計算流體力學螺旋槳全機教練機
外文關鍵詞: Slingsby T-67 Firefly, CFD, Propeller, Airframe, Trainer aircraft
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  • 本研究基於計算流體力學(CFD),針對配備螺旋槳動力之Slingsby T-67 Firefly教練機進行了三維全機流場分析。透過幾何建模、多尺度網格劃分,以及引入分離渦流模擬(IDDES)等高逼真度紊流模型,並獲得了以下學理與結論。
    第一是數值模型與驗證之可靠性,在進入全機模擬前,本研究藉由NLF-Mod22(B) 翼型之螺旋槳干擾實驗數據進行了軟體驗證。結果顯示,所建立的 CFD網格與k–ω SST 紊流模型能精確捕捉螺旋槳滑流對機翼上、下表面壓力係數分布的不對稱影響,且升力係數之計算結果與實驗數據高度吻合。此外,數值模擬之表面流線亦精準重現了油流實驗中觀察到的滑流邊界發散與前緣擴展現象,證實本數值模型具備高度的物理逼真度。
    第二是螺旋槳效應對全機之氣動干擾,全機分析結果指出,螺旋槳滑流的強烈切向速度會明顯改變主翼局部的有效攻角。在螺旋槳的上升葉片側,上洗氣流使局部攻角加大,產生較高的前緣負壓峰值與升力;反之,下降葉片側則受下洗氣流影響而使升力減弱。同時,滑流所帶來的高動壓特性,在高攻角(如10.17 度)下能有效替機翼翼根處的邊界層注入動能,延遲氣流分離的發生。這解釋了螺旋槳滑流如何幫助飛機在大攻角姿態下維持部分附著流。
    第三是高攻角下尾翼之非對稱負載,研究進一步發現,隨著飛機攻角的提升,螺旋槳尾跡核心受非對稱推力干擾而產生偏移。這股帶有強大滑流的尾跡撞擊垂直尾翼時,迫使氣流在尾翼一側產生加速繞流,形成較高的負壓區與逆壓梯度。該現象不僅會在教練機大攻角飛行時引發偏航力矩,還會進一步導致橫向穩定性降低。

    This study presents a three-dimensional computational fluid dynamics (CFD) analysis of a propeller-driven Slingsby T-67 Firefly trainer. Utilizing high-fidelity turbulence models like Detached Eddy Simulation (DES), the research successfully evaluates the aerodynamic coupling effects of the propulsion system. The numerical model was validated using airfoil experimental data, accurately capturing the propeller slipstream's impact on pressure distribution. Full-aircraft simulations reveal that the slipstream drastically and asymmetrically alters the main wing's local effective angle of attack, increasing lift on the upwash side while reducing it on the downwash side. Additionally, the slipstream's high dynamic pressure energizes the wing root boundary layer at high angles of attack, delaying airflow separation and enhancing overall stall safety. Finally, the study highlights asymmetric loading on the empennage at elevated angles of attack. The deflected propeller wake strikes the vertical tail, generating severe adverse pressure gradients and a significant yawing moment. This necessitates continuous rudder correction from the pilot and ultimately degrades the aircraft's lateral stability.

    摘要 i Extended Abstract ii 致謝 xix 表目錄 xxiii 圖目錄 xxiv 符號索引 xxix 第一章 緒論 1 1.1前言 1 1.2文獻回顧 2 1.3研究動機與目的 4 第二章 數學模型 6 2.1統御方程式 6 2.2納維-斯托克斯方程式(Navier-Stokes Equations) 7 2.3 k–ω Shear-Stress Transport Model (SST)紊流模型 9 2.4改進延遲分離渦流模擬(Improved Delayed Detached Eddy Simulation, IDDES) 12 2.5氣動係數之數學表示式 16 第三章 螺旋槳模擬之軟體程式驗證 18 3.1驗證案例說明 18 3.2驗證幾何建模 20 3.3驗證模型網格建立 21 3.4驗證模擬條件設定 23 3.5驗證結果 25 3.5.1螺旋槳沿翼弦方向的壓力係數分布 25 3.5.2計算攻角0度與8度沿機翼弦長的升力係數 29 3.5.3實驗油流與模擬表面流線對比 31 第四章 含螺旋槳之T-67全機CFD流場分析 34 4.1 Slingsby T-67 Firefly飛機介紹 34 4.2研究流程 36 4.3 T-67幾何建模 38 4.4網格建立 42 4.5設定操作條件 46 4.6網格獨立性測試 48 4.7時間解析度驗證 51 4.8模擬結果與討論 53 4.8.1 URANS模型與IDDES模型流場現象比較 54 4.8.1.1總壓係數(Total pressure coefficient)截面 54 4.8.1.2渦度(Vorticity)截面 60 4.8.1.3 Q準則(Q-Criterion) 65 4.8.1.4 URANS模型於參數研究之優勢 70 4.8.2飛試資料與安裝螺旋槳模擬結果係數比較 71 4.8.3螺旋槳旋轉時後方之總壓、動壓和靜壓係數量測 72 4.8.4螺旋槳滑流尾跡探討 78 4.8.5螺旋槳效應對氣動力係數之影響 82 4.8.6有無螺旋槳各部件氣動力係數之比較 84 4.8.6.1升力係數比較 84 4.8.6.2阻力係數比較 87 4.8.6.3俯仰力矩係數比較 90 4.8.6.4滾轉力矩係數比較 93 4.8.6.5偏航力矩係數比較 95 4.8.7有無螺旋槳表面流線討論 98 4.8.8壓力係數(Pressure Coefficient, Cp)截面分布討論 101 4.8.8.1不同攻角下機翼壓力係數截面 103 4.8.8.2不同攻角下水平尾翼壓力係數截面 109 4.8.8.3不同攻角下垂直尾翼壓力係數截面 113 第五章 結論與未來展望 118 5.1結論 118 5.2未來展望 122 參考文獻 123

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