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Aerodynamics of Wings and Bodies


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Table of Contents

1. Review of Fundamentals of Fuid Mechanics 1-1 General Assumptions and Basic Differential Equations 1-2 Conservation Laws for a Barotropic Fluid in a Conservative Body Force Field 1-3 Some Geometric or Kinematic Properties of the Velocity Field 1-4 The Independence of Scale in Inviscid Flows 1-5 Vortex Theorems for the Ideal Fluid 1-6 Integral Conservation Theorems for Inviscid Fluid 1-7 Irrotational Flow 1-8 The Acceleration Potential 2. Constant-Density Inviscid Flow 2-1 Introduction 2-2 The Three-Dimensional Rigid Solid Moving Through a Liquid 2-3 The Representation of ? in Terms of Boundary Values 2-4 "Further Examination of the Rigid, Impermeable Solid Moving Through a Constant-Density Fluid Without Circulation" 2-5 Some Deductions from Lagrange's Equations of Motion in Particular Cases 2-6 Examples of Two- and Three-Dimensional Flows Without Circulation 2-7 Circulation and the Topology of Flow Regimes 2-8 Examples of Constant-Density Flows Where Circulation May Be Generated 2-9 "Two-Dimensional, Constant-Density Flow: Fundamental Ideas" 2-10 "Two-Dimensinal, Constant-Density Flow: Conformal Transformations and Their Uses" 2-11 The Kutta Condition and Lift 3. Singular Perturbation Problems 3-1 Introduction 3-2 Expansion in a Small Parameter; Singular Peturbation Problems 4. Effects of Viscosity 4-1 Introduction 4-2 Qualitative Effects of Viscosity 4-3 Boundary Layer on a Flat Plate 5. Thin-Wing Theory 5-1 Introduction 5-2 Expansion Procedure for the Equations of Motion 5-3 Thin Airfoils in Incompressible Flow 5-4 Thin Airfoils in Supersonic Flow 6. Slender-Body Theory 6-1 Introduction 6-2 Expansion Procedure for Axisymmetric Flow 6-3 Solutions for Subsonic and Supersonic Flows 6-4 General Slender Body 6-5 Examples of Lifting Slender-Body flow 6-6 The Pressure Drag of a Slender Body in Supersonic Flow 6-7 Transverse Forces and Moments on a Slender Body 7. "Three-Dimensional Wings in Steady, Subsonic Flow" 7-1 Compressibility Corrections for Wings 7-2 Constant-Density Flow: the Thickness Problem 7-3 Constant-Density Flow: the Lifting Problem 7-4 Lifting-Line Theory 7-5 More Refined Theories of Lifting-Line type 7-6 Theories of Lifting-Surface Type 8. Three-Dimensional Thin Wings in Steady Supersonic Flow 8-1 Introduction 8-2 Nonlifting Wings 8-3 Lifting Wings of Simple Planform 8-4 The Method of Evvard and Krasilshchikova 8-5 Conical Flows 8-6 Numerical Integration Schemes Appendix to Section 8-4 9. Drag at Supersonic Speeds 9-1 Introduction 9-2 Calculation of Supersonic Drag by Use of Momentum Theory 9-3 Drag of a Lineal Source Distribution 9-4 Optimum Shape of a Slender Body of Revolution 9-5 Drag of a General Source Distribution. Hayes' Method 9-6 Extension to Include Lift and Side Force Elements 9-7 The Supersonic Area Rule 9-8 Wave Drag Due to Lift 10. Use of Flow-Reversal Theorems in Drag Minimization Problems 10-1 Introduction 10-2 "Drag of a General Singularity Distribution from a "Close" Viewpoint" 10-3 The Drag Due to Lift in Forward and Reverse Flows 10-4 The Drag Due to Thickness in Forward and Reverse Flows 10-5 The Drag of a General Distribution of Singularities in Steady Supersonic Forward or Reverse Flows 10-6 The Combined Flow Field 10-7 Use of the Combined Flow Field to Identify Minimum Drag Conditions 10-8 The Calculation of Minimum Drag by Solution of an Equivalent Two-Dimensional Potential Problem 11. Interference and Nonplanar Lifting-Surfaces Theories 11-1 Introduction 11-2 Interfering or Nonplanar Lifting Surfaces in Subsonic Flow 11-3 Special Cases and Numerical Solution 11-4 Loads on Interfereing Surfaces in Subsonic Flow 11-5 Nonplanar Lifting Surfaces in Supersonic Flow 12 Transonic Small-Disturbance flow 12-1 Introduction 12-2 Small-Perturbation Flow Equations 12-3 Similarity Rules 12-4 Methods of Solution 13 Unsteady Flow 13-1 Statement of the Problem 13-2 "Two Dimensional, Constant-Density Flow" 13-3 Airfoils Oscillating at Supersonic and Subsonic Speeds 13-4 Indicial Motion in a Compressible Fluid 13-5 Three-Dimensional Oscillating Wings References and Author Index List of Symbols Index

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