An Introduction to Theoretical and Computational Aerodynamics by Moran, Jack -- Read -- Imperial Library of Trantor

Index

Cover Title Page Copyright Page Dedication Preface Contents 1. Wings

1.1. Function 1.2. Geometry 1.3. References 1.4. Problems

2. Review of Basic Fluid Dynamics

2.1. Forces and Moments Due to Pressure 2.2. The Basic Conservation Laws of Fluid Mechanics 2.3. Vector Calculus 2.4. Differential Forms of the Conservation Laws 2.5. Rotational Velocity and Irrotational Flow 2.6. Two-Dimensional Incompressible Flow

2.6.1. Uniform Flow 2.6.2. Source Flow 2.6.3. Vortex Flow

2.7. Bibliography 2.8. Problems

3. Incompressible Irrotational Flow About Symmetric Airfoils at Zero Lift

3.1. Uniform Two-Dimensional Irrotational Incompressible Flow About an Isolated Body 3.2. Superposition of Fundamental Solutions 3.3. Dimensionless Variables 3.4. Rankine Ovals 3.5. Line Source Distributions 3.6. Flow Past Thin Symmetric Airfoils 3.7. Errors Near The Stagnation Points 3.8. Numerical Solution Based on Line Doublet Distributions 3.9. Relation of Numerical to Analytical Solutions 3.10. Complex–Variable Methods

3.10.1. Flow Past an Ellipse 3.10.2. Joukowsky Airfoils

3.11. Problems 3.12. Computer Programs

4. Lifting Airfoils in Incompressible Irrotational Flow

4.1. The Thin Airfoil: Thickness and Camber Problems 4.2. Forces and Moments on a Thin Airfoil 4.3. The Kutta Condition 4.4. Circulation Specification 4.5. The Cambered Thin Airfoil 4.6. Aerodynamics of The Thin Airfoil 4.7. The Lumped-Vortex Method 4.8. Panel Methods

4.8.1. Program Panel

4.9. Complex-Variables Methods 4.10. References 4.11. Problems 4.12. Computer Program

5. Wings of Finite Span

5.1. The Vortex System for a Thin Planar Wing of Finite Span 5.2. The Vortex–Lattice Method 5.3. Induced Drag 5.4. Lifting-Line Theory 5.5. The Elliptic Lift Distribution 5.6. The Optimal Wing 5.7. Nonelliptic Lift Distributions 5.8. References 5.9. Problems 5.10. Computer Program

6. The Navier–Stokes Equations

6.1. The Stress at a Point 6.2. Newton’s Second Law For Fluids 6.3. Symmetry of Stresses 6.4. Molecular View of Stress in a Fluid 6.5. The No-Slip Condition 6.6. Unidirectional Flows 6.7. The Viscosity Coefficient 6.8. Pascal’s Law 6.9. Strain Versus Rotation 6.10. Isotropy 6.11. Vectors and Tensors 6.12. The Stress Tensor 6.13. The Rate-of-Strain Tensor 6.14. The Two Coefficients of Viscosity 6.15. The Navier–Stokes Equations 6.16. Problems

7. The Boundary Layer

7.1. The Laminar Boundary Layer 7.2. Use of the Boundary-Layer Equations

7.2.1. Skin Friction 7.2.2. Displacement Thickness 7.2.3. Momentum Thickness

7.3. The Momentum Integral Equation 7.4. Velocity Profile Fitting: Laminar Boundary Layers 7.5. Thwaites’s Method For Laminar Boundary Layers 7.6. Form Drag 7.7. Turbulent Flows 7.8. Velocity Profile Fitting: Turbulent Boundary Layers 7.9. Head’s Method For Turbulent Boundary Layers 7.10. Transition From Laminar to Turbulent Flow 7.11. Boundary Layer Separation 7.12. Airfoil Performance Characteristics 7.13. The Development of Circulation About a Sharp-Tailed Airfoil 7.14. Computation of Boundary Layer Growth Along An Airfoil 7.15. References 7.16. Problems 7.17. Computer Program

8. Panel Methods

8.1. Mathematical Foundations: Green’s Identity 8.2. Potential-Based Panel Methods

8.2.1. Constant-Potential Method 8.2.2. Linear-Potential Method 8.2.3. Equivalent Vortex Distributions

8.3. Vortex-Based Panel Methods 8.4. Source-Based Panel Methods 8.5. Comparisons of Source-, Doublet-, and Vortex-Based Methods 8.6. References 8.7. Problems

9. Finite Difference Methods

9.1. Boundary-Value Problems in One Dimension 9.2. Convergence and Order of Accuracy 9.3. Incompressible Potential Flow Past a Thin Symmetric Airfoil

9.3.1. Direct Methods 9.3.2. Iterative Methods

9.4. Initial Problems: The Heat Equation

9.4.1. An Explicit Finite-Difference Method 9.4.2. Stability 9.4.3. Convergence 9.4.4. The Crank–Nicolson Method 9.4.5. Backward-Difference Schemes

9.5. References 9.6. Problems 9.7. Computer Programs

10. Finite-Difference Solution of the Boundary Layer Equations

10.1. Statement of The Problem 10.2. Similar Solutions of The Laminar Incompressible Boundary Layer

10.3.1. Program Bdylay

10.4. Turbulent Boundary Layers 10.5. Separated Flows 10.6. References 10.7. Problems 10.8. Computer Programs

11. Compressible Potential Flow Past Airfoils

11.1. Shock Waves and Sound Waves 11.2. Equations of Compressible Steady Potential Flow 11.3. The Prandtl–Glauert Equation 11.4. Subsonic Flow Past Thin Airfoils 11.5. Supersonic Flow Past Thin Airfoils 11.6. Transonic Flow Past Thin Airfoils

11.7. References 11.8. Problems 11.9. Computer Program

Appendix A. An Important Integral Appendix B. The Integral Appendix C. Potential Flow Past a Corner Appendix D. Uniqueness of Solutions of Laplace Equation Appendix E. Fourier-Series Expansions Appendix F. Downwash Due to a Horseshoe Vortex Appendix G. Geometrical Demonstration That Strain is a Tensor Appendix H. Optimization of the SOR Method for the Laplace Equation Appendix I. Structure of a Weak Shock Wave Index