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General Considerations | |
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General Equation of Fluid Motion. Irrotational and Rotational Flow | |
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Euler's Equations | |
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Continuity Equation and Energy Equation | |
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Thermodynamic Concepts | |
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Equations for Rotational Flow | |
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Lagrange-Thompson Theorem | |
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The Speed of Sound and Mach Number | |
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Compressibility Effects in Isentropic Transformations | |
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One-Dimensional Phenomena | |
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Diversity of the Phenomena in Subsonic and Supersonic Flow | |
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Theory of Two-Dimensional Flow - Potential Flow - Characteristics System - Small Disturbances | |
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Differential Equations for Potential Flow | |
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Case of Flow Supersonic throughout the Entire Field - Characteristic Lines | |
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Equations of the Characteristic Lines | |
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Law of Variation of the Mach Number, of the Pressure, and of the Velocity along a Characteristic Line | |
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The Critical Velocity and the Limiting Velocity | |
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Geometrical Interpretation of the Characteristic Equation | |
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Small-Disturbances Theory | |
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Theory of Shock Waves | |
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Shock Wave Equations in Stationary Phenomena | |
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Graphical Solution of Equations of Shock Waves - Shock Polar Curves | |
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Physical Considerations for Interpretation of the Shock Polar Curves | |
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The Nature of the Transformation That the Flow Undergoes across the Shock | |
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Consequence of the Variation of Entropy across the Shock. Shock Drag | |
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The Effect of the Viscosity and of the Conductivity in the Shock Wave Formation | |
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Theory of Two-Dimensional Flow - Interaction and Reflection of Shock Waves and Expansion Waves | |
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Possibility of Interaction or Reflection of Shock Waves and Expansion Waves | |
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Interaction of Expansion Waves | |
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Interaction between Shock and Expansion Waves | |
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Interaction of Shock Waves | |
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Reflection of Expansion Waves and Shock Waves on a Rigid Wall | |
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Reflection of Expansion Waves and Shock Waves in a Fluid Zone with Different Velocity | |
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Theory of Two-Dimensional Flow - Characteristic Theory for Rotational Flow | |
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The Special Stream Function for Rotational Flow and the Differential Equation for Rotational Flow | |
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The Characteristic System for Rotational Flow | |
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Measurement of the Physical Quantities of a Supersonic Flow | |
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Measurement of the Physical Quantities of the Flow in Aerodynamic Phenomena | |
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Determination of the Value of the Static Pressure and of the Mach Number with Pressure Measurements | |
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Determination of the Direction of Velocity with Pressure Measurements | |
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Measurement of Temperature | |
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Measurement of Density | |
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Interferometers | |
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Determination of Density for Two-Dimensional and Axial Symmetric Phenomena | |
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Determination of Density Variation with Methods Using Deviation of the Rays | |
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Shadow System | |
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Schlieren System | |
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Supersonic Profiles | |
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Determination of the Properties of Supersonic Profiles Using the Characteristic Theory and the Theory of Shock Waves | |
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General Shape of Supersonic Profiles | |
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Flat Plate at Supersonic Speed | |
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Supersonic Profile of Any Shape | |
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Analytical Determination of the Lift and Drag Coefficients of the Profiles | |
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Applications of the Equations for Determination of Lift and Drag Coefficients to Profiles of Particular Shape | |
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Flat Plate | |
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Circular-Arc Profile | |
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Profile of Minimum Pressure Drag for a Given Thickness. Diamond-Shaped Profile and Profile Made by Circular Arcs of Different Radii | |
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Profile Formed by Two Trapezoids | |
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Profile of Maximum L/D | |
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Analytical Determination of the Pitching-Moment Coefficient and of the Focus of the Profile | |
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Experimental Results of Supersonic Profiles | |
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The Supersonic Biplane | |
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Two-Dimensional Effusors | |
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Effusors and Diffusors | |
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Theoretical Design of the Supersonic Part of a Two-Dimensional Effusor | |
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Analysis of Supersonic Two-Dimensional Jets | |
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Jet in Which the End Static Pressure Is Higher than the External Pressure | |
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Jet in Which the Static Pressure at the End of the Nozzle Is Less than the External Pressure | |
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Impulse of Jets at Supersonic Velocity | |
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Supersonic Diffusors | |
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Perfect Diffusors | |
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The Two Different Equilibrium Conditions for a Diffusor | |
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The Equilibrium Condition in a Supersonic Diffusor as a Function of the Condition at the End of the Diffusor | |
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Efficiency of a Supersonic Diffusor | |
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Diffusors with Variable Geometry and Diffusors with External Compression | |
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General Considerations for Three-Dimensional Phenomena | |
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Existence of Potential Flow in Three-Dimensional Phenomena | |
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The Equations of Potential Flow | |
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The Equation of Potential Flow in the Approximate Form | |
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Preliminary Considerations on the Solution of the Differential Equations of Motion in Approximate Form. Equations of Sinks, Sources, and Doublets | |
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Aerodynamic Phenomena for Body of Revolution, Analyzed by Using the Theory of Small Disturbances | |
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The Method of Small Disturbances for a Body of Revolution | |
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Slender Body with Axial Symmetrical Flow | |
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Cone with Axis Parallel to the Undisturbed Velocity | |
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The Flow around a Slender, Sharp-Nose Body of Revolution with Axis Parallel to the Direction of the Undisturbed Velocity | |
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The Flow around an Open-Nose Body of Revolution with Axis Parallel to the Direction of the Undisturbed Flow | |
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Applications of the Equations of Small Disturbances for Flow around a Body of Revolution in Yaw | |
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Cone in Yaw | |
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Lift and Moment for Bodies of Revolution in Yaw | |
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Phenomena for Conical Bodies. Hodograph System | |
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The General Equations of a Conical Field | |
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Cone of Revolution with Axis Parallel to the Flow | |
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Considerations on the Results of the Cone Calculations | |
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Cone of Revolution with Angle of Attack | |
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Characteristic System for Three-Dimensional Phenomena | |
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The Characteristic System for Axial Symmetrical Phenomena (Potential Flow Theory) | |
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The Equations of the Characteristic System | |
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Application of the System of Characteristics to the Determination of the Flow Properties along a Pointed Body of Revolution | |
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Application of the Characteristic System to a Slender Open-Nose Body of Revolution or to a Circular Effusor. Determination of the Shape of a Perfect Effusor | |
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The Characteristic System for Axial Symmetrical Phenomena (Rotational Flow Theory) | |
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Characteristic System for Three-Dimensional Phenomena without Axial Symmetry | |
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The General Equations of the Characteristics for Three-Dimensional Phenomena | |
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Application of the Characteristic System for Three-Dimensional Phenomena | |
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Pressure Drag of Supersonic Wings | |
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Introductory Considerations | |
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Wing Plan Form Which Eliminates Tip Effect | |
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Infinite Sweptback Wings | |
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Determination of the Source Distribution for Symmetrical Wings of Finite Aspect Ratio at Zero Angle of Incidence | |
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Determination of the Components along the x-Axis of the Disturbance Velocity Induced by Source Distributions of Constant Intensity and Different Plan Form | |
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Infinite Rectangular Plan Form | |
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Infinite Triangular Plan Form k[subscript 1] > B | |
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Infinite Triangular Plan Form k[subscript 1] < B | |
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Superimposition of Triangular Source Distributions. Triangular Surface Symmetrical with Respect to the x-Axis | |
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Unsymmetrical Triangular Surface | |
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Plan Form of Any Shape | |
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Discussion of the Necessity for Analysis of the Hypothesis of Zero Lift | |
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Superimposition of Source Distributions of Different Type and Its Application to Practical Problems | |
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Profile Drag Distribution along a Chord of a Symmetrical Sweptback Wing | |
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Drag of a Diamond-Shaped Profile Triangular Wing with Zero Lift | |
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Drag of Diamond-Shaped Profile, Diamond Plan Form Wing at Zero Lift | |
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Lift and Induced Drag of Supersonic Wings | |
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General Considerations | |
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Supersonic Lifting Line and Elementary Lifting Surface | |
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Triangular Wing | |
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First Approximation for a Very Slender Wing | |
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Triangular Wing with Supersonic Leading Edge | |
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Triangular Wing with Subsonic Leading Edge. Determination of the Lift | |
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Triangular Wing with Subsonic Leading Edge. Determination of the Induced Drag | |
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Rectangular Wing | |
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Trapezoidal Lift Distribution of Constant Intensity | |
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Lift Distribution for a Rectangular Wing | |
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Lift, Drag, and Moment of the Rectangular Wing | |
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Appendix | |
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Bibliography | |
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Symbols Often Used | |
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Index | |
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Charts | |