Readings

The course readings are described below. The key to the abbreviations in the Readings column is provided below.

Readings Legend

[W] Buy at Amazon White, F. Viscous Fluid Flow. McGraw-Hill, 1991. ISBN:0-07-069712-4.

[B] Buy at Amazon Batchelor, G. K. An Introduction to Fluid Dynamics. Cambridge University Press, 2000. ISBN:0-521-66396-2.

[C&B] Buy at Amazon Cebeci, T., and P. Bradshaw. Momentum Transfer in Boundary Layers. McGraw-Hill, 1977. ISBN:0-07-010300-3.

[S] Buy at Amazon Schlichting, H et al. Boundary Layer Theory, 8th Ed. Springer Verlag, 1999. ISBN: 3540662707.

[R] Buy at Amazon Rosenhead, L. Laminar Boundary Layers. Dover Publications, 1988. ISBN:0-486-65646-2.

[B,C&W] Buy at Amazon Bradshaw, Cebeci, and Whitelaw. Engineering Calculation Methods for Turbulent Flow. Academic Press, 1981. ASIN:0121245500.

[K&C] Buy at Amazon Kuethe, A. and C-Y. Chow. Foundations of Aerodynamics, 4th Ed. John Wiley & Sons, 1986. ASIN:0471509531.

LEC # TOPICS READINGS
Underlying Physical Principles
1 Course Description. Fundamental Theorem of Kinematics - Convection, Vorticity, Strain. [B] 78-87
[W] 16-22
2 Eulerian vs. Langrangian Description. Convection Relations.
Conservation Laws
3 Conservation of Mass. Conservation of Momentum. Stress Tensor. [B] 73-75, 137-151
[S] 47-61
[W] 61-65
4 Viscosity. Newtonian Fluids. Vorticity and Circulation. [W] 23-29, 59-69, 89-91
[K&C] 40-50
[B] 71-99
5 Navier-Stokes Equations. Physical Parameters. Dynamic Similarity.

[B] 164-173
[W] 81-94
[S] 15-23
[K&C] 461-462

Thin Shear Layer Approximation
6 Dimensional Analysis. Dominant Balance and Vscous Flow Classification. [W] 81-88, 94, 104-107, 114-119, 132-141
[S] 13-18
7 Re→∞ Behavior. Thin Shear Layer Equations. TSL Coordinates. [S] 96-99, 145-148
[W] 218-219, 227-233
8 TSL Coordinates. Boundary Conditions. Shear Layer Categories.
9 Local Scaling. Falkner-Skan Flows. [B] 308-314
[S] 201-206
[W] 233-246
Solution Techniques
10 ODE'S, PDE's, and Boundary Conditions. Well-Posedness. [W] 77-78
Tannehill, Anderson and Pletcher. Computational Fluid Mechanics And Heat Transfer, 2nd Ed. Taylor and Francis, 1997. Pp. 19-31.
11 Numerical Methods for ODE's. Discretization. Stability. Hirsch, C. Numerical Computation of Internal and External Flows. Vol. 1. John Wiley & Sons, 1989. Pp. 267-290.
Tannehill, Anderson and Pletcher. Pp. 76-83.
12 Finite Difference Methods. Newton-Raphson.
13 Integral Methods. Integral Momentum Equation. Thwaites' Method. [W] 264-274
[S] 191-202 (682-698 Optional)
[C&B] 104-116
14 Integral Kinetic Energy Equation. Dissipation Methods.
15 Integral Kinetic Energy Equation. Dissipation Methods. (cont.)
Interacting Boundary Layer Theory
16 Asymptotic Perturbation Theory. Higher-Order Effects.
17 2D Interaction Models: Displacement Body, Transpiration. Form Drag, Stall Mechanisms.
18 IBLT Solution Techniques. Iteration Stability.
19 Fully-Coupled Iteration. 3-D IBLT. [S] 449-483
[W] 335-355
Stability and Transition
20 Small-Perturbation Theory. Orr-Sommerfeld Equation. [S] 449-483
[W] 335-355
21 Small-Perturbation Theory. Orr-Sommerfeld Equation. (cont.)
22 Boundary Conditions, Homogeneity, Solution Techniques. [S] 434-473
[C&B] 290-301
23 Transition Mechanisms. Transition Prediction: Local Correlations, Amplification Methods. [S]
[W]
Turbulent Shear Layers
24 Reynolds Averaging. Prandtl's Analogy. [S] 496-538
[W] 394-463
[C&B]
25 Turbulent BL Structure: Wake, Wall Layers. Inner, Outer Variables. Effects of Roughness. [S] 495-552
[C&B] 160-210
[W] 394-449
26 Turbulent BL Structure: Wake, Wall Layers. Inner, Outer Variables. Effects of Roughness. (cont.)
27 Equilibrium BL's: Clauser Hypothesis. Dissipation Formulas and Integral Closure.
28 Equilibrium BL's: Clauser Hypothesis. Dissipation Formulas and Integral Closure. (cont.)
29 Turbulence Modeling and Closure. Algebraic Models. Transport Models.
Compressible Thin Shear Layers
30 Definition and Implications of Compressibility. Special Solutions. Reynolds Analogy. [S] 327-330, 340-352
[W] 184-200, 576-616
31a Definition and Implications of Compressibility. Special Solutions. Reynolds Analogy. (cont.)
31b Approximate Temperature Profile. Reynolds Heat Flux.
3D Boundary Layer
32 New Effects: Crossflow, Lateral Dilation, 3D Separation. Governing Equations.
33 Coordinate Systems. Characteristics, BC's, and Well-Posedness.
34 3D Characteristics, BC's. Quasi-3D: Constant-Crossflow Approximation.
35 3D Characteristics, BC's. Quasi-3D: Constant-Crossflow Approximation. (cont.)
36 3D Stability Theory. 3D Transition Mechanisms. [W] 342-344
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.