Introduction to Flight Seventh Edition John D. Anderson, Jr. Curator for Aerodynamics, National Air and Smithsonian Institution Professor Emeritus University of Maryland Connect i Learn 1 Succeed Space Museum CONTENTS About the Author iii Preface to the Seventh Edition xiii 2.1.2 Density 2.1.3 Temperature 2.1.4 Flow Preface to the First Edition xvii 2.2 The First Aeronautical 1.1 1.2 1.3 1.4 1.5 Introduction 1 1 Very Early Developments 3 George Cayley (1773-1857)— The True Inventor of the Airplane The Interregnum—From Otto Lilienthal 1853 to 1891 Percy Pilcher Anatomy of the Anatomy of 1948) Wright—Inventors of the First Airplane The Aeronautical Wrights, 27 Triangle—Langley, and Glenn Curtiss 1.10 The Problem of Summary Propulsion Higher 45 of a 2.1.1 Space 36 The Standard 3.1 and Review 49 107 112 Hydrostatic Equation 113 3.3 Relation Between 3.4 54 58 110 Atmosphere Geopotential 116 Pressure, Temperature, and Density 125 Historical Note: The Standard 128 Atmosphere 3.7 115 Definition of the Standard Atmosphere Physical Quantities 58 105 Definition of Altitude 3.6 Pressure 93 106 3.2 3.5 Flowing Gas 83 Vehicle and Geometric Altitudes Chapter 2 Fundamental Airplane Chapter 3 Altitudes 2.1 67 72 102 Summary Problems 52 Thoughts 65 Historical Note: The NACA and NASA 46 and Review Bibliography Fundamental a Perfect Gas 20 Aeronautics Comes to America 1.11 Faster and Volume a 19 Wilbur (1867-1912) and Orville (1871- 1.12 Specific 2.6 (1867-1899)—Extending 1.8 Practical of State for Bibliography 1.7 The Discussion of Units 17 The Glider Tradition 1.9 2.4 2.9 61 63 2.5 13 (1848-1896)—The Glider and Streamlines Aerodynamic Equation 2.8 6 60 2.3 2.7 Sir Man 1.6 Engineers Velocity The Source of All Forces Chapter 1 59 Summary and Review Bibliography Problems 130 132 132 vii viii Contents Chapter 4 Basic 4.25 Historical Note: Osborne Aerodynamics 134 4.1 Continuity Equation 4.2 Incompressible Flow and 139 4.27 Equation 4.4 A Comment 146 4.5 Elementary Thermodynamics 4.6 Isentropic 4.7 Energy Equation 4.8 Summary 4.9 Speed 4.10 Low-Speed of 142 4.11.1 Airfoils, Wings, and Other Aerodynamic Shapes 288 173 174 191 Compressible Flow 4.11.4 Summary 211 211 4.12.1 More about Compressible 4.12.2 More about Equivalent Airspeed Flow 211 Compressibility 4.16 Results for Laminar Layer Viscous Flow a 4.20 Flow Summary Drag Boundary 5.5 Infinite Finite 5.6 Pressure Coefficient 5.7 Obtaining 5.8 Compressibility Effects on Skin 245 248 251 of Viscous Effects versus 290 4.23 Historical Note: The Pitot Tube 4.24 Historical Note: The First Wind 315 Wings 316 Lift Coefficient from Coefficient 294 322 CP Correction for Lift 326 Critical Mach Number and Critical Drag-Divergence 327 Mach Number 339 Drag (At Supersonic Speeds) Summary of Airfoil Wings 347 357 Drag 359 Drag 5.15 Change 5.16 Swept Wings 5.17 Flaps—A Mechanism 5.18 Aerodynamics of Cylinders and Spheres 400 in the Lift Slope 363 372 381 for High Lift 394 5.19 How Lift is Produced—Some Alternative 256 262 288 5.14 Calculation of Induced 4.22 Historical Note: Bernoulli and Euler Tunnels 300 5.12 Boundary Turbulent Separation on Airfoil Data 5.13 Finite Compressibility Friction Lift, Drag, and Moment Coefficients 5.4 5.11 Wave 242 4.19 Transition 5.3 5.10 227 228 237 4.17 Results for Airfoil Nomenclature Pressure Coefficient to a Introduction 5.2 5.9 Supersonic Engines 215 Layer 5.1 214 Wind Tunnels and Rocket 4.15 Introduction 4.21 197 Flow 205 4.12 Some Additional Considerations 4.18 182 188 Incompressible Flow Supersonic 280 280 Chapter 5 166 4.11.3 275 153 Subsonic Wind Tunnels 4.14 Discussion of and Review Bibliography 160 Equations 4.11.2 Subsonic Summary Problems 4.11 Measurement of Airspeed 4.13 Development of the Boundary Layer Concept 272 Compressible Momentum of Sound and his 4.26 Historical Note: Prandtl and the 138 4.3 Flow Reynolds 268 Number 259 Explanations 258 405 5.20 Historical Note: Airfoils and 5.20.1 The Wright Brothers 5.20.2 British and U.S. (1910-1920) Airfoils 417 Wings 416 415 Contents 5.20.3 1920-1930 5.20.4 418 Early NACA Four-Digit Airfoils 5.20.5 Later NACA Airfoils 419 5.20.6 Modern 419 5.20.7 Finite Airfoil Work 418 6.13 420 Wings 5.21 Historical Note: Ernst Mach and his Number 422 Supersonic Flight 5.24 Summary 426 Problems and Stepping-Stone 430 and Review Bibliography Quantitative Formulation 6.12.3 Breguet Airplane) Formulas and Endurance: Jet 6.13.1 Physical Considerations 6.13.2 Quantitative Formulation Landing 6.17 Turning Flight 6.19 Elements of Airplane Performance 6.1 Introduction: The 6.2 Equations 6.3 Thrust 6.4 6.5 of Motion Special Considerations Airplanes 545 for Level, Unaccelerated 6.26 Historical Note: Supersonic 6.28 Summary Conceptual Airplane Drag Reduction—The and the Fillet Early 565 Predictions Breguet 568 and the Range 571 and Review Bibliography Problems 465 549 Design— 572 577 581 581 467 Engine on Power Required and 469 6.8 Rate of Climb 478 6.9 Gliding Flight 487 6.10 Absolute and Service Chapter 7 Principles of Stability Ceilings 490 7.1 Introduction 7.2 Definition of 7.2.7 Static 497 and Endurance: Propeller-Driven 7.2.2 Considerations 499 and Control 586 586 Stability Stability and Control 593 Dynamic Stability 7.2.3 Control 498 Physical (Energy Evolution and Revolution Altitude Effects Range Airplane 529 559 6.27 Historical Note: Aircraft Reciprocating Engine-Propeller 6.11 Time to Climb Cowling 6.25 Historical Note: 465 Available for of Airplane Performance 460 6.6.2 Jet 6.12.1 565 Formula Combination 6.12 6.23 A Comment NACA Power Available and Maximum 6.6.7 of Philosophy Design 562 6.24 Historical Note: 447 457 Velocity 6.7 440 Polar Required for Level, Unaccelerated Flight 6.6 Drag Thrust Available and Maximum Power Diagram 538 6.22 A 440 449 Velocity 512 526 and the V~n 6.21 Micro Air Vehicles Flight 508 6.20 Uninhabited Aerial Vehicles (UAVs) Chapter 6 Required 506 507 520 6.18 Accelerated Rate of Climb 434 435 Airplane CA0 and CDJ Performance Method) 432 (Propeller-Driven Range 6.16 500 502 6.15 Takeoff Performance 5.23 Historical Note: The X-l 5—First Manned Hypersonic Airplane to the Space Shuttle 6.12.2 6.14 Relations Between 5.22 Historical Note: The First Manned ix 594 596 7.2.4 Partial Derivative 596 592 Contents X 7.3 Moments 7.4 Absolute 7.5 the on Angle Criteria for Stability Airplane 597 8.3 of Attack 598 8.4 Longitudinal Orbit 600 8.4.2 658 Equation 8.4. J Force and Static 655 Lagrange's Equation Equation 658 Energy 660 of Motion 7.6 Quantitative Discussion: Contribution of the Wing to Mcg 605 8.5 Space Vehicle Trajectories—Some Aspects 664 7.7 Contribution of the Tail 8.6 Kepler's 7.8 Total 8.7 The VIS-VIVA 8.8 Some Orbital Maneuvers of 7.9 Pitching Moment About Gravity 612 for Equations Stability Longitudinal the Center Static (Energy) Equation 616 617 Margin 681 Changes and 8.9 Transfers: Single-Impulse 686 Hohmann Transfers Concept of Static Longitudinal Hyperbolic Trajectories Control 8.9.2 Sphere of Influence 621 7.13 Calculation of Elevator Angle to Trim 8.9.3 Heliocentric 626 8.9.4 Method 7.14 Stick-Fixed Versus Stick-Free Static 7.15 Elevator 8.9.5 628 629 Hinge Moment 7.16 Stick-Free Stability Longitudinal Static 7.18 Lateral Static Stability Stability 7.19 A Comment 8.13 636 638 Wright Versus the European Philosophy of Stability and Control 639 7.21 Historical Note: The of Flight Controls Development Summary 642 Earth and Exponential Atmosphere Application 711 to Ballistic Entry Entry Heating Lifting Entry, with Application 729 to the Space Shuttle 8.18 Historical Note: 733 Kepler of Gravitation 735 8.22 Historical Note: Manned Space Flight (Astronautics) Differential 715 721 647 647 Equations 737 8.21 Historical Note: Unmanned space Flight 737 Chapter 8 8.2 711 of Motion for 8.20 Historical Note: Lagrange 645 Introduction Planetary 8.17 643 645 Bibliography 8.1 707 8.19 Historical Note: Newton and the Law and Review Problems 8.15 Control 8.16 640 7.22 Historical Note: The "Tuck-Under" Problem to Equations Atmospheric Entry Brothers 699 708 8.14 General 7.20 Historical Note: The 698 706 Spacecraft Attitude Entry 635 697 Conies Gravity-Assist Trajectories 8.12 Introduction 631 7.17 Directional Static 695 697 Trajectories of Patched 8.10 Lunar Transfer 8.11 694 Interplanetary Trajectories 8.9.1 Stability 675 681 8.8.2 Orbital 7.11 Static 7.23 671 Laws 8.8.1 Plane 614 7.10 Neutral Point 7.12 609 Mcg to Basic Flight 8.23 Summary and Review Bibliography 654 Space 742 Problems 747 746 744 Contents Chapter 9 Propulsion 9.1 9.18 750 Problems 750 9.2 Propeller 9.3 Reciprocating Engine 9.4 Jet 9.5 Turbojet Engine Propulsion—The 761 Thrust 771 Chapter 10 Hypersonic 10.2 779 9.7 Ramjet Engine 784 9.8 Rocket Engine 788 9.9 Rocket Propellants—Some 781 Engine Considerations 795 798 801 Magnetoplasmadynamic 9.15 Historical Note: High-Temperature Effects Low-Density 10.2.6 Recapitulation Flow Summary Problems 844 Hypersonic and Review 859 Thruster 811 Appendix A Standard Atmosphere, 811 SI Units Early Propeller 812 Early Development Engine for of the 861 Appendix B Standard Atmosphere, English Engineering Units 871 and Conversion Appendix C Symbols Aviation Factors 879 Appendix D Airfoil Data 815 Engines Early Jet 817 9.17 Historical Note: 820 859 860 Internal Combustion Engines Hypersonic- 850 810 81.1 9.16 Historical Note: Inventors of 839 840 844 Bibliography 809 9.13.3 Arc-Jet Thruster Development 10.5 838 10.2.5 Airplanes 9.13.1 Electron-Ion Thruster 9.14 Historical Note: Entropy Layer 10.4 Some Comments About Propellant Requirements for Spacecraft Trajectory Maneuvers 806 9.13.4 A Comment 836 837 10.2.4 Flow 802 Propulsion Hypersonic Layers 10.3 Newtonian Law for 9.9.3 A Comment 800 Staging of 836 10.2.3 Viscous Interaction Propellants Equation 832 Physical Aspects 10.2.2 Liquid Propellants 9.11 Rocket 832 10.2.1 Thin Shock 795 9.10 Rocket Vehicles Flow Turbofan 9.13.2 828 10.1 Introduction 9.6 9.9.2 Solid Equation 774 Buildup for a Turbojet Engine 9.13 Electric 826 828 753 9.5.1 Thrust 9.12 and Review Bibliography Introduction 9.9.1 Summary xi Early History of Rocket Answer Key Index 913 909 880