Shear Flow in Surface-Oriented Coordinate

Inhaltsverzeichnis

• 1. Introduction.
• 2. First-Order Boundary-Layer Equations.
• 3. Boundary-Layer Parameters.
• 4. Stagnation-Point Solution.
• 5. Quasi-Two-Dimensional Boundary Layers.
• 6. Initial Conditions for the Prediction of Boundary Layers on Wings and Fuselages.
• 7. Higher-Order Boundary-Layer Equations.
• 8. Thin-Layer Approximations of the Navier-Stokes Equations.
• 9. On the Influence of Surface Curvature.
• 10. Samples of Surface-Oriented Coordinate Systems.
• 11. Conditions of Compatibility at the Body Surface.
• 12. Local Topology of Three-Dimensional Separation and Attachment Lines.
• 13. Similarity-Type Transformation of Boundary-Layer Equations in Contravariant Form.
• Appendix A: Basic Geometrical Relations.
• A. 1 General Coordinates.
• A.2 Surface-Oriented Locally Monoclinic Coordinates.
• A. 3 Covariant Base Vectors of Surface-Oriented Coordinate Systems.
• A.4 Transformation of a Vector.
• A.5 Partial Derivatives.
• A.6 The Covariant Metric Tensor for Surface-Oriented Coordinates..
• A.8 The Two Principal Curvatures of the Surface.
• A.9 Directions of the Two Principal Curvatures of the Surface.
• A.13 Christoffel Symbols and Metric Factors.
• A.14 Shifters.
• Appendix B: Series Expansion of Vector Quantities in General Coordinates.
• Appendix C: The Vorticity Vector.
• Appendix D: Dimensions and Boundary-Layer Stretching.
• Appendix E. Calculation of Streamlines, Surface and Volume Element.
• List of Symbols.
• References.