Shear Flow in Surface-Oriented Coordinate

ISBN-13: 9783663052777 / Niemiecki / Miękka / 2014 / 266 str.

Ernst Heinrich Hirschel

Spis treści

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.