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| Wings | |
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| Function | |
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| Geometry | |
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| References | |
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| Problems | |
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| Review of Basic Fluid Dynamics | |
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| Forces and Moments Due to Pressure | |
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| The Basic Conservation Laws of Fluid Mechanics | |
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| Vector Calculus | |
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| Differential Forms of the Conservation Laws | |
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| Rotational Velocity and Irrotational Flow | |
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| Two-Dimensional Incompressible Flow | |
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| Uniform Flow | |
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| Source Flow | |
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| Vortex Flow | |
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| Bibliography | |
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| Problems | |
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| Incompressible Irrotational Flow About Symmetric Airfoils at Zero Lift | |
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| Uniform Two-Dimensional Irrotational Incompressible Flow About an Isolated Body | |
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| Superposition of Fundamental Solutions | |
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| Dimensionless Variables | |
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| Rankine Ovals | |
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| Line Source Distributions | |
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| Flow Past Thin Symmetric Airfoils | |
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| Errors Near The Stagnation Points | |
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| Numerical Solution Based on Line Doublet Distributions | |
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| Relation of Numerical to Analytical Solutions | |
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| Complex-Variable Methods | |
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| Flow Past an Ellipse | |
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| Joukowsky Airfoils | |
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| Problems | |
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| Computer Programs | |
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| Lifting Airfoils in Incompressible Irrotational Flow | |
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| The Thin Airfoil: Thickness and Camber Problems | |
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| Forces and Moments on a Thin Airfoil | |
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| The Kutta Condition | |
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| Circulation Specification | |
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| The Cambered Thin Airfoil | |
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| Aerodynamics of The Thin Airfoil | |
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| The Lumped-Vortex Method | |
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| Panel Methods | |
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| Program PANEL | |
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| Complex-Variables Methods | |
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| References | |
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| Problems | |
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| Computer Program | |
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| Wings of Finite Span | |
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| The Vortex System for a Thin Planar Wing of Finite Span | |
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| The Vortex-Lattice Method | |
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| Induced Drag | |
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| Lifting-Line Theory | |
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| The Elliptic Lift Distribution | |
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| The Optimal Wing | |
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| Nonelliptic Lift Distributions | |
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| References | |
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| Problems | |
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| Computer Program | |
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| The Navier-Stokes Equations | |
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| The Stress at a Point | |
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| Newton's Second Law For Fluids | |
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| Symmetry of Stresses | |
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| Molecular View of Stress in a Fluid | |
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| The No-Slip Condition | |
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| Unidirectional Flows | |
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| The Viscosity Coefficient | |
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| Pascal's Law | |
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| Strain Versus Rotation | |
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| Isotropy | |
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| Vectors and Tensors | |
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| The Stress Tensor | |
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| The Rate-of-Strain Tensor | |
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| The Two Coefficients of Viscosity | |
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| The Navier-Stokes Equations | |
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| Problems | |
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| The Boundary Layer | |
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| The Laminar Boundary Layer | |
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| Use of the Boundary-Layer Equations | |
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| Skin Friction | |
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| Displacement Thickness | |
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| Momentum Thickness | |
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| The Momentum Integral Equation | |
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| Velocity Profile Fitting: Laminar Boundary Layers | |
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| Thwaites's Method For Laminar Boundary Layers | |
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| Form Drag | |
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| Turbulent Flows | |
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| Velocity Profile Fitting: Turbulent Boundary Layers | |
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| Head's Method For Turbulent Boundary Layers | |
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| Transition From Laminar to Turbulent Flow | |
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| Boundary Layer Separation | |
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| Airfoil Performance Characteristics | |
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| The Development of Circulation About a Sharp-Tailed Airfoil | |
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| Computation of Boundary Layer Growth Along An Airfoil | |
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| References | |
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| Problems | |
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| Computer Program | |
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| Panel Methods | |
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| Mathematical Foundations: Green's Identity | |
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| Potential-Based Panel Methods | |
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| Constant-Potential Method | |
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| Linear-Potential Method | |
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| Equivalent Vortex Distributions | |
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| Vortex-Based Panel Methods | |
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| Source-Based Panel Methods | |
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| Comparisons of Source-, Doublet-, and Vortex-Based Methods | |
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| References | |
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| Problems | |
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| Finite Difference Methods | |
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| Boundary-Value Problems in One Dimension | |
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| Convergence and Order of Accuracy | |
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| Incompressible Potential Flow Past a Thin Symmetric Airfoil | |
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| Direct Methods | |
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| Iterative Methods | |
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| Initial Problems: The Heat Equation | |
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| An Explicit Finite-Difference Method | |
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| Stability | |
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| Convergence | |
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| The Crank-Nicolson Method | |
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| Backward-Difference Schemes | |
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| References | |
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| Problems | |
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| Computer Programs | |
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| Finite-Difference Solution of the Boundary Layer Equations | |
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| Statement of The Problem | |
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| Similar Solutions of The Laminar Incompressible Boundary Layer | |
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| Finite-Difference Methods for the Falkner-Skan Equation | |
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| Iterative Solution of Nonlinear Equations | |
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| A Finite-Difference Method Based on a Second-Order Differential Equation | |
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| A Finite-Difference Method Based on a System of First-Order Equations | |
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| Transformation of The Laminar Boundary-Layer Equations For Arbitrary Pressure Gradients | |
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| Program BDYLAY | |
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| Turbulent Boundary Layers | |
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| Separated Flows | |
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| References | |
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| Problems | |
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| Computer Programs | |
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| Compressible Potential Flow Past Airfoils | |
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| Shock Waves and Sound Waves | |
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| Equations of Compressible Steady Potential Flow | |
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| The Prandtl-Glauert Equation | |
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| Subsonic Flow Past Thin Airfoils | |
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| Supersonic Flow Past Thin Airfoils | |
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| Transonic Flow Past Thin Airfoils | |
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| Aerodynamics in the Transonic Range | |
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| Solution of the Transonic Small-Disturbance Equation: Subcritical Flow | |
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| Conservative versus Nonconservative Difference Schemes | |
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| Supercritical Flow and Upwind Differencing | |
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| The Relaxation Iteration | |
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| The Poisson Iteration | |
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| References | |
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| Problems | |
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| Computer Program | |
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| An Important Integral | |
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| The Integral [characters not reproducible] | |
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| Potential Flow Past a Corner | |
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| Uniqueness of Solutions of Laplace Equation | |
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| Fourier-Series Expansions | |
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| Downwash Due to a Horseshoe Vortex | |
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| Geometrical Demonstration That Strain is a Tensor | |
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| Optimization of the SOR Method for the Laplace Equation | |
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| Structure of a Weak Shock Wave | |
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| Index | |