Courses:

Aerodynamics of Viscous Fluids >> Content Detail



Study Materials



Readings

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

Readings Legend

[W] Amazon logo White, F. Viscous Fluid Flow. McGraw-Hill, 1991. ISBN:0-07-069712-4.
[B] Amazon logo Batchelor, G. K. An Introduction to Fluid Dynamics. Cambridge University Press, 2000. ISBN:0-521-66396-2.
[C&B] Amazon logo Cebeci, T., and P. Bradshaw. Momentum Transfer in Boundary Layers. McGraw-Hill, 1977. ISBN:0-07-010300-3.
[S] Amazon logo Schlichting, H et al. Boundary Layer Theory, 8th Ed. Springer Verlag, 1999. ISBN: 3540662707.
[R] Amazon logo Rosenhead, L. Laminar Boundary Layers. Dover Publications, 1988. ISBN:0-486-65646-2.
[B,C&W] Amazon logo Bradshaw, Cebeci, and Whitelaw. Engineering Calculation Methods for Turbulent Flow. Academic Press, 1981. ASIN:0121245500.
[K&C] Amazon logo Kuethe, A. and C-Y. Chow. Foundations of Aerodynamics, 4th Ed. John Wiley & Sons, 1986. ASIN:0471509531.

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

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

Thin Shear Layer Approximation
6Dimensional Analysis. Dominant Balance and Vscous Flow Classification.[W] 81-88, 94, 104-107, 114-119, 132-141
[S] 13-18
7Re→∞ Behavior. Thin Shear Layer Equations. TSL Coordinates.[S] 96-99, 145-148
[W] 218-219, 227-233
8TSL Coordinates. Boundary Conditions. Shear Layer Categories.
9Local Scaling. Falkner-Skan Flows.[B] 308-314
[S] 201-206
[W] 233-246
Solution Techniques
10ODE'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.
11Numerical 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.
12Finite Difference Methods. Newton-Raphson.
13Integral Methods. Integral Momentum Equation. Thwaites' Method.[W] 264-274
[S] 191-202 (682-698 Optional)
[C&B] 104-116
14Integral Kinetic Energy Equation. Dissipation Methods.
15Integral Kinetic Energy Equation. Dissipation Methods. (cont.)
Interacting Boundary Layer Theory
16Asymptotic Perturbation Theory. Higher-Order Effects.
172D Interaction Models: Displacement Body, Transpiration. Form Drag, Stall Mechanisms.
18IBLT Solution Techniques. Iteration Stability.
19Fully-Coupled Iteration. 3-D IBLT.[S] 449-483
[W] 335-355
Stability and Transition
20Small-Perturbation Theory. Orr-Sommerfeld Equation.[S] 449-483
[W] 335-355
21Small-Perturbation Theory. Orr-Sommerfeld Equation. (cont.)
22Boundary Conditions, Homogeneity, Solution Techniques.[S] 434-473
[C&B] 290-301
23Transition Mechanisms. Transition Prediction: Local Correlations, Amplification Methods.[S]
[W]
Turbulent Shear Layers
24Reynolds Averaging. Prandtl's Analogy.[S] 496-538
[W] 394-463
[C&B]
25Turbulent BL Structure: Wake, Wall Layers. Inner, Outer Variables. Effects of Roughness.[S] 495-552
[C&B] 160-210
[W] 394-449
26Turbulent BL Structure: Wake, Wall Layers. Inner, Outer Variables. Effects of Roughness. (cont.)
27Equilibrium BL's: Clauser Hypothesis. Dissipation Formulas and Integral Closure.
28Equilibrium BL's: Clauser Hypothesis. Dissipation Formulas and Integral Closure. (cont.)
29Turbulence Modeling and Closure. Algebraic Models. Transport Models.
Compressible Thin Shear Layers
30Definition and Implications of Compressibility. Special Solutions. Reynolds Analogy.[S] 327-330, 340-352
[W] 184-200, 576-616
31aDefinition and Implications of Compressibility. Special Solutions. Reynolds Analogy. (cont.)
31bApproximate Temperature Profile. Reynolds Heat Flux.
3D Boundary Layer
32New Effects: Crossflow, Lateral Dilation, 3D Separation. Governing Equations.
33Coordinate Systems. Characteristics, BC's, and Well-Posedness.
343D Characteristics, BC's. Quasi-3D: Constant-Crossflow Approximation.
353D Characteristics, BC's. Quasi-3D: Constant-Crossflow Approximation. (cont.)
363D 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.


 








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