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燈號說明

審定：無
翻譯：林信成(簡介並寄信)
編輯：黃惠婷(簡介並寄信)
課程閱讀資料詳列如下。在每本閱讀資料書目前方的字母是其縮寫，方便參照。
The course readings are described below. The key to the abbreviations in the Readings column is provided below.


閱讀資料說明
Readings Legend

[W] White, F.《黏滯性流體力學》. McGraw-Hill, 1991. ISBN:0-07-069712-4
White, F. Viscous Fluid Flow. McGraw-Hill, 1991. ISBN:0-07-069712-4.

[B] Batchelor, G. K.《流體力學導論》. 劍橋大學出版, 2000. ISBN:0-521-66396-2.
Batchelor, G. K. An Introduction to Fluid Dynamics. Cambridge University Press, 2000. ISBN:0-521-66396-2.

[C&B] Cebeci, T., and P. Bradshaw.《在邊界層內的動量傳遞》McGraw-Hill, 1977. ISBN:0-07-010300-3
Cebeci, T., and P. Bradshaw. Momentum Transfer in Boundary Layers. McGraw-Hill, 1977. ISBN:0-07-010300-3.

[S] Schlichting, H et al.《邊界層理論》, 第八版. Springer Verlag, 1999. ISBN: 3540662707.
Schlichting, H et al. Boundary Layer Theory, 8th Ed. Springer Verlag, 1999. ISBN: 3540662707.

[R] Rosenhead, L.《層流邊界層理論》. Dover Publications, 1988. ISBN:0-486-65646-2.
Rosenhead, L. Laminar Boundary Layers. Dover Publications, 1988. ISBN:0-486-65646-2.

[B,C&W] Bradshaw, Cebeci, and Whitelaw. 《紊流工程計算方法》. Academic Press, 1981. ASIN:0121245500
Bradshaw, Cebeci, and Whitelaw. Engineering Calculation Methods for Turbulent Flow. Academic Press, 1981. ASIN:0121245500.

[K&C] Kuethe, A. and C-Y. Chow. 《空氣動力學基礎》, 第四版. John Wiley & Sons, 1986.
Kuethe, A. and C-Y. Chow. Foundations of Aerodynamics, 4th Ed. John Wiley & Sons, 1986. ASIN:0471509531 .

課 課程單元 閱讀資料
基本物理學原理
Underlying Physical Principles
1 課程敘述，動力學基本理論-對流，渦旋量，應變。
Course Description. Fundamental Theorem of Kinematics - Convection, Vorticity, Strain. 		[B] 78-87
[W] 16-22
2 流場質點運動描述法：歐拉 vs. 拉格朗基描述法。 對流關係。
Eulerian vs. Langrangian Description. Convection Relations.
守恆定律
Conservation Laws
3 質量守恆，動量守恆，應力張量。
Conservation of Mass. Conservation of Momentum. Stress Tensor. 		[B] 73-75, 137-151
[S] 47-61
[W] 61-65
4 黏滯性，牛頓流體，渦旋量，和環流量。
Viscosity. Newtonian Fluids. Vorticity and Circulation. 		[W] 23-29, 59-69, 89-91
[K&C] 40-50
[B] 71-99
5 納維埃-司托克斯(N-S)方程式，物理參數，動力相似。
Navier-Stokes Equations. Physical Parameters. Dynamic Similarity.

[B] 164-173
[W] 81-94
[S] 15-23
[K&C] 461-462
薄剪力層近似求解
Thin Shear Layer Approximation
6 因次分析。優勢平衡和黏滯流分類。
Dimensional Analysis. Dominant Balance and Vscous Flow Classification. 		[W] 81-88, 94, 104-107, 114-119, 132-141
[S] 13-18
7 Re→∞雷諾數很大的極限情況，剪力薄層方程式，薄剪力層座標。
Behavior. Thin Shear Layer Equations. TSL Coordinates. 		[S] 96-99, 145-148
[W] 218-219, 227-233
8 薄剪力層座標，邊界條件，剪力層種類。
TSL Coordinates. Boundary Conditions. Shear Layer Categories.
9 局部尺寸，福克納-史坎流。
Local Scaling. Falkner-Skan Flows.		 [B] 308-314
[S] 201-206
[W] 233-246
求解技巧
Solution Techniques
10 常微分方程，偏微分方程和邊界條件，最佳適切性s。
ODE'S, PDE's, and Boundary Conditions. Well-Posedness. 		[W] 77-78
Tannehill, Anderson and Pletcher. 《計算流體機制與熱傳遞》, 第二版, Taylor and Francis, 1997. Pp. 19-31.
Tannehill, Anderson and Pletcher. Computational Fluid Mechanics And Heat Transfer, 2nd Ed. Taylor and Francis, 1997. Pp. 19-31.
11 常微分方程的數值方法，離散穩定性。
Numerical Methods for ODE's. Discretization. Stability. 		Hirsch, C. 《內部與外部流體之數值計算》 Tannehill, Anderson and Pletcher. Pp. 76-83.
Hirsch, C. Numerical Computation of Internal and External Flows. Vol. 1. John Wiley & Sons, 1989. Pp. 267-290.
有限差分法，Newton-Raphson。
Tannehill, Anderson and Pletcher. Pp. 76-83.
12 積分方法。積分動量方程式。Thwaites' 積分法。
Finite Difference Methods. Newton-Raphson.
13 積分方法。積分動量方程式。Thwaites' 積分法。
Integral Methods. Integral Momentum Equation. Thwaites' Method.		 [W] 264-274
[S] 191-202 (682-698 任選)
[S] 191-202 (682-698 Optional)
[C&B] 104-116
14 積分動能方程式。消散方法。
Integral Kinetic Energy Equation. Dissipation Methods.
15 積分動能方程式。消散方法。(接續)
Integral Kinetic Energy Equation. Dissipation Methods. (cont.)
邊界層的互動理論
Interacting Boundary Layer Theory
16 漸近擾動理論-高階效應。
Asymptotic Perturbation Theory. Higher-Order Effects.
17 二維互動模式：位移物體，蒸散，形狀阻力，失速機制。
2D Interaction Models: Displacement Body, Transpiration. Form Drag, Stall Mechanisms.
18 邊界層的互動理論的求解技巧。疊代穩定性。
IBLT Solution Techniques. Iteration Stability.
19 全偶合疊代。三維的邊界層的互動理論。
Fully-Coupled Iteration. 3-D IBLT.		 [S] 449-483
[W] 335-355
穩定和過渡
Stability and Transition
20 小擾動理論。奧-索末非方程。
Small-Perturbation Theory. Orr-Sommerfeld Equation. 		[S] 449-483
[W] 335-355
21 小擾動理論。奧-索末非方程。(接續)
Small-Perturbation Theory. Orr-Sommerfeld Equation. (cont.)
22 邊界條件，齊次性，求解技巧。
Boundary Conditions, Homogeneity, Solution Techniques. 		[S] 434-473
[C&B] 290-301
23 過渡機制。過渡預測。局部相關性，放大法。
Transition Mechanisms. Transition Prediction: Local Correlations, Amplification Methods. 		[S]
[W]
紊流剪力層
Turbulent Shear Layers
24 雷諾平均。蒲朗多相似。
Reynolds Averaging. Prandtl's Analogy.		 [S] 496-538
[W] 394-463
[C&B]
25 紊流邊界層結構：尾流，壁面層，內、外變數。粗糙度效應。
Turbulent BL Structure: Wake, Wall Layers. Inner, Outer Variables. Effects of Roughness. 		[S] 495-552
[C&B] 160-210
[W] 394-449
26 紊流邊界層結構：尾流，壁面層，內、外變數。粗糙度效應。(接續)
Turbulent BL Structure: Wake, Wall Layers. Inner, Outer Variables. Effects of Roughness. (cont.)
27 平衡邊界層：克勞勒假說。消散公式和封閉積分。
Equilibrium BL's: Clauser Hypothesis. Dissipation Formulas and Integral Closure.
28 平衡邊界層：克勞勒假說。消散公式和封閉積分。(接續)
Equilibrium BL's: Clauser Hypothesis. Dissipation Formulas and Integral Closure. (cont.)
29 紊流模式與封閉性。代數模式。傳輸模式。
Turbulence Modeling and Closure. Algebraic Models. Transport Models.
可壓縮薄剪力層
Compressible Thin Shear Layers
30 可壓縮性的定義與含意，特解。雷諾相似。
Definition and Implications of Compressibility. Special Solutions. Reynolds Analogy. 		[S] 327-330, 340-352
[W] 184-200, 576-616
31a 可壓縮性的定義與含意，特解。雷諾相似。(接續)
Definition and Implications of Compressibility. Special Solutions. Reynolds Analogy. (cont.)
31b 近似溫度分布。雷諾熱通量。
Approximate Temperature Profile. Reynolds Heat Flux.
三維邊界層
3D Boundary Layer
32 新的效應：交叉流動，側向擴張，三維分離，統御方程式。
New Effects: Crossflow, Lateral Dilation, 3D Separation. Governing Equations.
33 座標系統。特徵，邊界條件，和最佳適切性。
Coordinate Systems. Characteristics, BC's, and Well-Posedness.
34 三維特徵，邊界條件，準三維：交流常數近似解。
3D Characteristics, BC's. Quasi-3D: Constant-Crossflow Approximation.
35 三維特徵，邊界條件，準三維：交流常數近似解。(接續)
3D Characteristics, BC's. Quasi-3D: Constant-Crossflow Approximation. (cont.)
36 三維穩定性理論。三維過渡機制。
3D Stability Theory. 3D Transition Mechanisms. 		[W] 342-344
Reed, H.L. and W.S. Saric, 《三維邊界層的穩定性》. 流體力學年報 21 (1989): 235 - 284.
Reed, H.L. and W.S. Saric, "Stability of Three-Dimensional Boundary Layers". Annual Review of Fluid Mechanics 21 (1989): 235 - 284. Mack, L.M. "Boundary-layer stability theory", Special Course on Stability and Transition of Laminar Flow, AGARD R-709 (1984): 3-1 - 3-81.
Mack, L.M. 《邊界層的穩定性理論》, 在層流的穩定性和過渡上之特殊航道, AGARD R-709 (1984): 3-1 - 3-81.
Mack, L.M. "Boundary-layer stability theory", Special Course on Stability and Transition of Laminar Flow, AGARD R-709 (1984): 3-1 - 3-81.


 
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