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Aerodynamics of Viscous Fluids >> Content Detail



Lecture Notes



Lecture Notes

LEC #TOPICSSUPPORTING FILES
Underlying Physical Principles
1Course Description. Fundamental Theorem of Kinematics - Convection, Vorticity, Strain. (PDF)Hierarchy of 3-D Configuration CFD Methods (PDF)
2Eulerian vs. Langrangian Description. Convection Relations. (PDF)
Conservation Laws
3Conservation of Mass. Conservation of Momentum. Stress Tensor. (PDF)
4Viscosity. Newtonian Fluids. Vorticity and Circulation. (PDF)
5Navier-Stokes Equations. Physical Parameters. Dynamic Similarity. (PDF)
Thin Shear Layer Approximation
6Dimensional Analysis. Dominant Balance and Viscous Flow Classification. (PDF)
7Re→∞ Behavior. Thin Shear Layer Equations. TSL coordinates. (PDF)
8TSL Coordinates. Boundary Conditions. Shear Layer Categories. (PDF)
9Local Scaling. Falkner-Skan Flows. (PDF)Unsteady Local Scaling Transformation (PDF)
Solution Techniques
10ODE'S, PDE's, and Boundary Conditions. Well-Posedness. (PDF)
11Numerical Methods for ODE's. Discretization. Stability. (PDF)
12Finite Difference Methods. Newton-Raphson. (PDF)Solution of Falkner-Skan Equation by Finite Differences (PDF)
Finite Difference Solution of TSL Equations(PDF)
Basis for Integral BL Methods (PDF)
Thwaites' Method (PDF)
Integral Thicknesses (PDF)
Von-Karman Integral Momentum Equation (PDF)
Integral Kinetic Energy Equation (PDF)
13Integral Methods. Integral Momentum Equation. Thwaites' Method. (PDF)
14Integral Kinetic Energy Equation. Dissipation Methods. (PDF)
15Integral Kinetic Energy Equation. Dissipation Methods. (cont.) (PDF)
Interacting Boundary Layer Theory
16Asymptotic Perturbation Theory - Higher-Order Effects. (PDF)
172D Interaction Models: Displacement Body, Transpiration. Form Drag, Stall Mechanisms. (PDF)
18IBLT Solution Techniques. Iteration Stability. (PDF)Behavior of Separated Flow (PDF)
Displacement Effects of Boundary Layer on Potential Flow (PDF)
19Fully-Coupled Iteration. 3-D IBLT. (PDF)
Stability and Transition
20Small-Perturbation Theory. Orr-Sommerfeld Equation. (PDF)
21Small-Perturbation Theory. Orr-Sommerfeld Equation. (cont.) (PDF)
22Boundary Conditions, Homogeneity, Solution Techniques. (PDF)
23Transition Mechanisms. Transition Prediction: Local Correlations, Amplification Methods. (PDF)en Method (PDF)
Turbulent Shear Layers
24Reynolds Averaging. Prandtl's Analogy. (PDF)
25Turbulent BL Structure: Wake, Wall Layers. Inner, Outer Variables. Effects of Roughness. (PDF)
26Turbulent BL Structure: Wake, Wall Layers. Inner, Outer Variables. Effects of Roughness. (cont.) (PDF)
27Equilibrium BL's: Clauser Hypothesis. Dissipation Formulas and Integral Closure. (PDF)G-Beta Locus Relations (PDF)
28Equilibrium BL's: Clauser Hypothesis. Dissipation Formulas and Integral Closure. (cont.) (PDF)
29Turbulence Modeling and Closure. Algebraic Models. Transport Models. (PDF)
Compressible Thin Shear Layers
30Definition and Implications of Compressibility. Special Solutions. Reynolds Analogy. (PDF)
31aDefinition and Implications of Compressibility. Special Solutions. Reynolds Analogy. (cont.) (PDF)
31bApproximate Temperature Profile. Reynolds Heat Flux. (PDF)
3D Boundary Layer
32New Effects: Crossflow, Lateral Dilation, 3D Separation. Governing Equations. (PDF)
33Coordinate Systems. Characteristics, BC's, and Well-Posedness. (PDF)Integral Boundary Layer Equations for Three-Dimensional Flows (PDF)
Closure for Three-Dimensional Boundary Layer Equations (PDF)
343D Characteristics, BC's. Quasi-3D: Constant-Crossflow Approximation. (PDF)3D BL Equations - Sweep / Taper (PDF)
353D Characteristics, BC's. Quasi-3D: Constant-Crossflow Approximation. (cont.) (PDF)
363D Stability Theory. 3D Transition Mechanisms. (PDF)

 








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