| Part I Theoretical Aerodynamics |
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1 The Standard Atmosphere |
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3 | (24) |
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3 | (1) |
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1.1.1 Role of Atmosphere in the Aerodynamics |
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4 | (1) |
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1.2 Composition and Structure of the Atmosphere |
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4 | (3) |
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1.2.1 Primary Layers in the Atmosphere |
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4 | (2) |
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1.2.2 Secondary Layers in the Atmosphere |
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6 | (1) |
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1.3 Interpretation of the Altitude |
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7 | (1) |
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1.4 Variation of Pressure in the Standard Atmosphere |
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7 | (1) |
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1.5 Relation Between Geopotential and Geometric Altitude |
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8 | (1) |
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1.6 Distribution of Properties in Troposphere and Stratosphere |
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8 | (2) |
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1.7 Physical and Optical Properties of the Atmosphere |
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10 | (2) |
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10 | (1) |
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10 | (1) |
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10 | (1) |
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1.7.4 Scattering Phenomena |
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10 | (1) |
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1.7.5 Absorption and Emission |
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11 | (1) |
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11 | (1) |
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1.8 Static Stability Analysis of Troposphere Layer |
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12 | (2) |
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14 | (2) |
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1.9.1 Cyclones and Anticyclones in Temperate Zones |
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16 | (1) |
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1.9.2 Hurricanes or Typhoons in Tropics |
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16 | (1) |
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1.10 Geostrophic and Ageostrophic Winds |
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16 | (3) |
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19 | (1) |
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1.12 Global and Local Winds |
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19 | (3) |
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1.12.1 Land and Sea Breeze |
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19 | (1) |
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1.12.2 Zonal Wind Directions |
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20 | (1) |
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1.12.3 Some Specific Names of the Wind |
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20 | (1) |
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1.12.4 Measuring the Winds |
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21 | (1) |
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22 | (2) |
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24 | (3) |
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27 | (30) |
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2.1 Aerodynamics: An Overview |
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27 | (1) |
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27 | (2) |
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28 | (1) |
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2.2.2 Aerodynamic Moments |
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29 | (1) |
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2.3 Parametric Studies in Aerodynamics |
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29 | (5) |
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30 | (1) |
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31 | (1) |
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31 | (1) |
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31 | (1) |
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31 | (2) |
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2.3.6 Coefficient of Viscosity |
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33 | (1) |
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34 | (7) |
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2.4.1 Nomenclature of an Airfoil and the Wing |
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34 | (1) |
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2.4.2 Pressure Distribution Around an Airfoil |
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35 | (2) |
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2.4.3 Generation of Forces and Moments |
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37 | (2) |
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39 | (1) |
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2.4.5 The Aerodynamic Center |
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40 | (1) |
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41 | (3) |
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2.5.1 Concept of Flow Similarity |
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43 | (1) |
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44 | (5) |
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2.6.1 Continuum and Non-continuum Flows |
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44 | (2) |
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2.6.2 Steady and Unsteady Flows |
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46 | (1) |
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2.6.3 Uniform and Nonuniform Flows |
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46 | (1) |
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2.6.4 Incompressible and Compressible Flows |
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47 | (1) |
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2.6.5 Inviscid and Viscous Flows |
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48 | (1) |
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2.6.6 Mach Number Flow Regimes |
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48 | (1) |
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2.7 Hodograph Transformation |
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49 | (3) |
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52 | (2) |
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54 | (3) |
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3 Governing Equations of Fluid Flows |
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57 | (50) |
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57 | (1) |
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3.2 Review of Vector Relations |
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57 | (6) |
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3.2.1 Scalar (or Dot) Product |
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57 | (1) |
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3.2.2 Vector (or Cross) Product |
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58 | (1) |
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3.2.3 Orthogonal Coordinate Axes |
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58 | (1) |
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3.2.4 Scalar and Vector Fields |
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59 | (1) |
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3.2.5 Scalar Product of Two Vectors |
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60 | (1) |
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3.2.6 Vector Product of Two Vectors |
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60 | (1) |
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3.2.7 Gradient of a Scalar |
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60 | (1) |
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3.2.8 Divergence of a Vector |
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61 | (1) |
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61 | (1) |
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62 | (1) |
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62 | (1) |
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63 | (1) |
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3.2.13 Stokes Curl Theorem |
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63 | (1) |
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3.2.14 Gauss Divergence Theorem |
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63 | (1) |
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63 | (1) |
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3.3 Eulerian and Lagrangian Viewpoints |
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63 | (1) |
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3.3.1 Local and Material Derivatives |
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63 | (1) |
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3.4 Primary and Auxiliary Laws for Continuous Media |
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64 | (1) |
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3.5 Flow Analysis Techniques |
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65 | (1) |
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3.5.1 Finite Control Mass Approach |
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65 | (1) |
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3.5.2 Finite Control Volume Approach |
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65 | (1) |
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3.5.3 Infinitesimal Fluid Element Approach |
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65 | (1) |
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3.5.4 Microscopic Approach |
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65 | (1) |
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3.6 Integral and Differential Analysis |
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65 | (1) |
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3.7 One-, Two-, and Three-Dimensional Flows |
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66 | (1) |
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3.8 The Continuity Equation |
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66 | (2) |
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3.8.1 Some Important Observations |
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67 | (1) |
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3.9 Graphical Representation of Fluid Flows |
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68 | (2) |
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68 | (1) |
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68 | (2) |
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70 | (1) |
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70 | (1) |
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3.10 Angular Velocity, Vorticity, and the Shear Strain Rate |
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70 | (3) |
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3.11 The Navier-Stokes Equation |
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73 | (6) |
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3.11.1 The Euler Equation |
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77 | (1) |
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3.11.2 Velocity-Vorticity Form of the Navier-Stokes Equation |
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77 | (1) |
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3.11.3 The Crocco's Theorem |
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78 | (1) |
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3.12 Rotational Flows and the Circulation |
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79 | (1) |
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3.13 Irrotational Flows and the Potential Function |
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79 | (1) |
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3.14 Stream Function and the Concept of Vector Potential |
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80 | (4) |
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3.14.1 Concept of Streamline in Three Dimensions |
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82 | (1) |
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3.14.2 Axisymmetric Flows |
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83 | (1) |
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3.14.3 Physical Interpretation of Lagrange Stream Function |
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83 | (1) |
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3.15 The Cauchy-Riemann Equations |
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84 | (1) |
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3.16 The Bernoulli's Equation |
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85 | (7) |
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3.16.1 Steady Bernoulli's Equation |
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86 | (5) |
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3.16.2 Unsteady Bernoulli's Equation |
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91 | (1) |
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3.17 Using the Bernoulli's Equation |
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92 | (3) |
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3.17.1 Airspeed Measurement Using Pitot-Static Probe |
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92 | (1) |
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3.17.2 Pressure Coefficient and the Compressibility Correction Factor |
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92 | (2) |
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94 | (1) |
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3.18 Reynolds Transport Theorem |
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95 | (4) |
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3.18.1 Physical Significance of RTT |
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99 | (1) |
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99 | (2) |
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101 | (3) |
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104 | (3) |
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107 | (20) |
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107 | (1) |
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4.2 Potential Flows and the Laplace's Equation |
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107 | (1) |
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4.3 Standard Solutions of the Potential Flow |
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108 | (7) |
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4.3.1 Uniform Potential Flow |
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109 | (1) |
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4.3.2 Line Source (or Line Sink) |
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110 | (2) |
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4.3.3 Source-Sink Combination and the Doublet Potential |
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112 | (2) |
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114 | (1) |
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4.4 Superposition of Standard Solutions |
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115 | (8) |
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4.4.1 A Source in the Uniform Flow (Axisymmetric Flow over a Semi-infinite Body) |
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115 | (2) |
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4.4.2 A Pair of Source and Sink in the Uniform Flow (Axisymmetric Flow over a Closed Body) |
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117 | (1) |
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4.4.3 A Doublet in the Uniform Flow (Flow over a Circular Cylinder Without Circulation) |
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117 | (2) |
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4.4.4 A Point Vortex in the Uniform Flow |
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119 | (1) |
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4.4.5 A Doublet and a Vortex Flow in the Uniform Flow (Flow Past a Circular Cylinder with Circulation) |
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119 | (4) |
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4.5 Implications of Kutta-Joukowski Theorem in the Lift Generation |
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123 | (1) |
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123 | (1) |
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124 | (3) |
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127 | (18) |
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127 | (1) |
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5.2 Circulation and Vorticity |
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127 | (1) |
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128 | (1) |
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5.4 Kelvin's Circulation Theorem |
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129 | (3) |
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5.4.1 The Starting Vortex |
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131 | (1) |
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5.5 Summary of the Lift Generation Mechanism by the Airfoil |
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132 | (1) |
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5.6 Classical Thin Airfoil Theory |
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132 | (9) |
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5.6.1 Aerodynamic Characteristics of a Thin Symmetric Airfoil |
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135 | (3) |
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5.6.2 Aerodynamic Characteristics of a Thin Cambered Airfoil |
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138 | (3) |
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141 | (2) |
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143 | (2) |
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145 | (24) |
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145 | (3) |
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6.1.1 Relation Between Trailing Edge Vortices and Spanwise Load Distribution |
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148 | (1) |
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148 | (2) |
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148 | (1) |
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149 | (1) |
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6.2.3 Vortex Line, Vortex Tube, and the Vortex Filament |
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149 | (1) |
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6.3 Helmholtz's Theorems of Vortex Motion |
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150 | (1) |
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6.3.1 Helmholtz First Theorem |
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150 | (1) |
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6.3.2 Helmholtz Second Theorem |
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150 | (1) |
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6.3.3 Helmholtz Third Theorem |
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151 | (1) |
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6.3.4 Helmholtz Fourth Theorem |
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151 | (1) |
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6.4 Biot and Savart Law of Vortex Motion |
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151 | (4) |
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6.4.1 Application of Biot and Savart Law: Velocity Induced by a Straight Vortex Filament |
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154 | (1) |
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6.5 Vortex System and the Evolution of Prandtl's Lifting Line Theory |
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155 | (10) |
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6.5.1 Lanchester-Prandtl Wing Theory |
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158 | (3) |
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6.5.2 Symmetric Elliptical Aerodynamic Load Distribution |
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161 | (2) |
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6.5.3 Symmetric General Aerodynamic Load Distribution |
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163 | (2) |
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165 | (2) |
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167 | (1) |
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168 | (1) |
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169 | (12) |
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169 | (1) |
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7.2 Hess and Smith Method |
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169 | (5) |
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7.2.1 Line Source Distribution |
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172 | (1) |
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7.2.2 Perturbation Velocity Components Due to Source Distribution |
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173 | (1) |
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174 | (3) |
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7.3.1 Panel of Constant Strength |
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174 | (2) |
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7.3.2 Panel with Linearly Varied Vortex Strength |
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176 | (1) |
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7.3.3 Transformation of Panel Coordinates |
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177 | (1) |
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177 | (1) |
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178 | (3) |
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8 Thermodynamics of Fluids in Motion |
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181 | (18) |
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181 | (1) |
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8.1.1 Concept of System, Surroundings, and the Universe |
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181 | (1) |
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8.2 Internal Energy and the First Law of Thermodynamics |
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181 | (4) |
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183 | (1) |
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8.2.2 Concept of Enthalpy |
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183 | (1) |
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8.2.3 Different Forms of the First Law for an Adiabatic Flow |
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184 | (1) |
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8.2.4 Concept of Specific Heats |
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184 | (1) |
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8.2.5 Coefficient of Thermal Conductivity |
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185 | (1) |
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8.3 Energy Equation for an Open System |
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185 | (1) |
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8.4 Entropy and the Second Law of Thermodynamics |
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186 | (2) |
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8.4.1 Thermodynamic Efficiency and Clausius Inequality |
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186 | (2) |
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8.5 Combined Forms of the First Law and the Second Law |
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188 | (1) |
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8.6 Maxwell's Thermodynamic Relations |
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189 | (1) |
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189 | (1) |
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189 | (1) |
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8.6.3 Helmholtz Free Energy |
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189 | (1) |
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190 | (1) |
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8.7 Effects of Fluid Compressibility on Specific Heats |
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190 | (2) |
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8.8 Thermal and Calorical Properties |
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192 | (1) |
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8.8.1 Thermally Perfect Gas |
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192 | (1) |
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193 | (1) |
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193 | (1) |
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8.9.1 Ratio of Specific Heats |
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193 | (1) |
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8.9.2 Limitation of Air as a Perfect Gas |
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193 | (1) |
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194 | (1) |
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195 | (4) |
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199 | (38) |
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9.1 Introduction to Elastic and Inviscid Compressible Flows |
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199 | (1) |
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9.1.1 One-Dimensional Flow Approximation |
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199 | (1) |
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9.2 Governing Equations of Compressible Flows |
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199 | (2) |
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9.3 Effects of Acoustic Speed on the Fluid Compressibility |
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201 | (3) |
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201 | (1) |
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9.3.2 Speed of Sound in a Perfect Gas |
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202 | (1) |
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9.3.3 Effect of Molecular Weight on the Acoustic Speed |
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202 | (1) |
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9.3.4 Concept of Mach Number |
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203 | (1) |
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203 | (1) |
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9.3.6 Classification of Flow Regimes Based on the Mach Number |
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204 | (1) |
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9.4 One-Dimensional, Steady, and Isentropic Flow of a Perfect Gas |
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204 | (9) |
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9.4.1 Stagnation (or Total) Properties in an Isentropic Flow |
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205 | (1) |
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9.4.2 The Dimensionless Velocity (M*) |
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206 | (1) |
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9.4.3 Effect of Area Variation on Compressible Flow (Area-Velocity Relation) |
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207 | (1) |
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9.4.4 Mass Flow Rate (in) |
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208 | (1) |
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9.4.5 Mass Flow Rate in a Choked Streamtube |
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209 | (1) |
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9.4.6 Physical Interpretation of Flow at the Throat |
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210 | (1) |
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9.4.7 Area Ratio for the Convergent-Divergent Streamtube |
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210 | (1) |
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9.4.8 Types of Characteristic Speeds along a Streamtube |
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211 | (1) |
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9.4.9 Mass Flow Rate Variation with Pressure |
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212 | (1) |
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9.5 The Adiabatic Flow Ellipse |
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213 | (1) |
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9.6 Processes Causing a Change of State in Compressible Flows |
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214 | (1) |
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215 | (1) |
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215 | (1) |
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215 | (1) |
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9.7 One-Dimensional Flow Across a Normal Shock |
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215 | (6) |
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9.7.1 Governing Equations of the Normal Shock |
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216 | (1) |
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9.7.2 Normal Shock Equations for a Perfect Gas |
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216 | (1) |
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9.7.3 Working Relations for Normal Shock Wave |
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217 | (2) |
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9.7.4 The Prandtl-Meyer Relation |
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219 | (2) |
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9.7.5 The Rankine-Hugoniot Relation |
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221 | (1) |
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9.8 Supersonic Pitot Probe |
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221 | (1) |
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9.8.1 Rayleigh Supersonic Pitot Probe Formula |
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222 | (1) |
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9.9 Convergent-Divergent Nozzle (de Laval Nozzle) |
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222 | (4) |
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9.10 Two-Dimensional Flow Across an Oblique Shock Wave |
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226 | (4) |
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9.10.1 Governing Equations of the Oblique Shock |
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226 | (2) |
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9.10.2 Minimum and Maximum Wave Angles |
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228 | (1) |
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9.10.3 theta - β - M Relation |
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228 | (1) |
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9.10.4 Weak Oblique Shocks |
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229 | (1) |
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9.10.5 Isentropic Compression in Supersonic Flow by Turning |
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230 | (1) |
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9.11 The Prandtl-Meyer Expansion Fan |
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230 | (3) |
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9.11.1 Isentropic Expansion in Supersonic Flow by Turning |
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232 | (1) |
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233 | (1) |
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234 | (2) |
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236 | (1) |
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237 | (14) |
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237 | (3) |
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237 | (1) |
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238 | (1) |
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10.1.3 Viscous-Inviscid Flow Interaction |
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238 | (2) |
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10.2 Oblique Shock Relations in Hypersonic Flow |
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240 | (2) |
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10.3 Mach Number Independence |
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242 | (1) |
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10.4 Expansion Wave Relations in Hypersonic Flow |
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242 | (1) |
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10.5 Hypersonic Similarity |
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243 | (1) |
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244 | (3) |
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10.6.1 Lift and Drag Coefficients for a Flat Plate at an Angle of Attack |
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245 | (2) |
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10.6.2 Modified Newtonian Theory |
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247 | (1) |
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247 | (1) |
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248 | (2) |
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250 | (1) |
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251 | (34) |
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251 | (1) |
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11.2 Boundary Layer Thickness |
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251 | (3) |
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11.2.1 Displacement Thickness |
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251 | (1) |
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11.2.2 Momentum Thickness |
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252 | (1) |
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11.2.3 Kinetic Energy Thickness |
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253 | (1) |
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11.3 Similarity Parameters |
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254 | (1) |
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11.4 Boundary Layer Separation |
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254 | (3) |
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11.4.1 Physics of Separation Bubbles in Boundary Layers |
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256 | (1) |
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11.5 Boundary Layer Equations |
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257 | (3) |
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11.5.1 Continuity Equation |
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258 | (1) |
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11.5.2 x-Momentum Equation |
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259 | (1) |
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11.5.3 y-Momentum Equation |
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259 | (1) |
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11.6 von Karman Momentum Integral Equation |
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260 | (2) |
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11.7 K. Wieghardt Energy Integral Equation |
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262 | (1) |
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11.8 Laminar Boundary Layers |
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263 | (7) |
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11.8.1 Incompressible Laminar Flow over a Flat Plate (Blasius Solution) |
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263 | (3) |
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11.8.2 Compressible Laminar Flow over a Flat Plate |
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266 | (1) |
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11.8.3 Stagnation Point Flow (or Hiemenz Flow) |
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267 | (2) |
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11.8.4 Mixing of Two Uniform Laminar Flows |
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269 | (1) |
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11.9 Application of von Karman Momentum Integral Equation |
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270 | (1) |
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11.9.1 Karman-Pohlhausen Approximate Solution Method |
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270 | (1) |
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11.10 Laminar-Turbulent Transition |
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271 | (1) |
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11.11 Turbulent Boundary Layers |
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272 | (8) |
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11.11.1 Mean Motion and Perturbations |
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272 | (2) |
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11.11.2 Governing Equations for Turbulent Flows |
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274 | (1) |
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11.11.3 Prandtl's Mixing Length Hypothesis |
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275 | (2) |
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11.11.4 Regimes in Turbulent Boundary Layer |
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277 | (1) |
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11.11.5 Skin Friction Coefficient for Turbulent Boundary Layer over a Flat Plate |
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278 | (2) |
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280 | (2) |
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282 | (3) |
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285 | (36) |
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285 | (1) |
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12.2 Types of Wind Tunnels |
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285 | (2) |
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12.2.1 Mach Number Regimes |
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285 | (1) |
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285 | (1) |
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286 | (1) |
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286 | (1) |
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12.3 Experimental Models and Similitude |
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287 | (1) |
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12.3.1 Geometric Similarity |
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287 | (1) |
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12.3.2 Kinematic Similarity |
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287 | (1) |
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12.3.3 Dynamic Similarity |
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287 | (1) |
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12.4 Subsonic Wind Tunnels |
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287 | (9) |
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12.4.1 Effuser or Contraction Cone |
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287 | (3) |
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290 | (1) |
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12.4.3 Subsonic Wind Tunnel Diffuser |
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290 | (3) |
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293 | (1) |
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12.4.5 Losses in Subsonic Wind Tunnels |
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293 | (2) |
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12.4.6 Energy Ratio of a Subsonic Wind Tunnel |
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295 | (1) |
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12.5 High-Speed Wind Tunnels |
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296 | (13) |
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12.5.1 Intermittent-Blowdown Wind Tunnels |
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296 | (1) |
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12.5.2 Intermittent-Indraft Wind Tunnels |
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297 | (1) |
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12.5.3 Continuous Supersonic Wind Tunnels |
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297 | (2) |
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12.5.4 Losses in Supersonic Wind Tunnels |
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299 | (1) |
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12.5.5 Supersonic Wind Tunnel Components |
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299 | (10) |
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12.6 Hypersonic Wind Tunnels |
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309 | (1) |
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12.7 Special Purpose Tunnels |
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309 | (2) |
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309 | (2) |
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12.7.2 Gun Tunnel(or Shock Tunnel) |
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311 | (1) |
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311 | (1) |
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12.7.4 Plasma Wind Tunnel |
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311 | (1) |
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311 | (4) |
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315 | (2) |
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317 | (4) |
| Part II Applied Aerodynamics |
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321 | (40) |
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321 | (1) |
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13.2 Free Turbulence Theories |
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322 | (6) |
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13.2.1 Semi-Empirical Theories |
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323 | (4) |
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327 | (1) |
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13.3 Computational Techniques for Studying the Jets |
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328 | (12) |
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13.3.1 Preliminary Studies |
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328 | (1) |
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13.3.2 Reynolds-Averaged Navier-Stokes (RANS) |
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329 | (1) |
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13.3.3 Large Eddy Simulation (LES) |
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330 | (2) |
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13.3.4 Direct Numerical Simulation (DNS) |
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332 | (4) |
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13.3.5 Some Specific Computational Studies on the Jets |
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336 | (4) |
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13.4 Experimental Techniques for Studying the Jets |
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340 | (4) |
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13.4.1 Pressure Measurements |
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340 | (4) |
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13.4.2 Optical Flow Visualization |
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344 | (1) |
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13.5 Aerodynamic Mixing Enhancement and Jet Controls |
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344 | (3) |
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13.5.1 Classification of Jet Controls |
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346 | (1) |
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347 | (3) |
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13.6.1 Pressure Mode Acoustics |
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347 | (1) |
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13.6.2 Vorticity Mode Acoustics |
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348 | (1) |
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13.6.3 Entropy Mode Acoustics |
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349 | (1) |
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350 | (4) |
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13.7.1 Subsonic Jet Noise |
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350 | (1) |
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13.7.2 Supersonic Jet Noise |
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350 | (4) |
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354 | (2) |
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356 | (2) |
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358 | (3) |
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14 Shock Wave and Boundary Layer Interactions |
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361 | (32) |
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361 | (1) |
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14.1.1 Transonic Interactions |
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361 | (1) |
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14.2 Supersonic Flow Field Characteristics |
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362 | (4) |
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14.2.1 Simple Wave and Non-simple Region |
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362 | (1) |
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14.2.2 Reflection of an Oblique Shock Wave from a Solid Wall |
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362 | (1) |
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14.2.3 Reflection of an Oblique Shock Wave from a Free Pressure Boundary |
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362 | (1) |
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14.2.4 Oblique Shock Wave Cancelation |
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362 | (2) |
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14.2.5 Interference of Shock and Expansion Waves |
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364 | (1) |
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14.2.6 Shock-Shock Interference |
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364 | (1) |
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14.2.7 Types of Shock-Shock Interference (Edney Classification) |
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365 | (1) |
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366 | (3) |
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14.4 The Oswatitsch Relation |
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369 | (1) |
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14.5 Some Important Studies on SBLIs |
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370 | (3) |
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373 | (3) |
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14.6.1 Classification of Control Techniques |
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373 | (3) |
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14.7 Experimental Techniques for Studying the SBLIs |
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376 | (1) |
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14.8 Evaluation of Effectiveness of Some Specific Passive Controls |
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376 | (9) |
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14.8.1 SBLI Control Using Cavity Covered with Porous Surface |
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377 | (4) |
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14.8.2 SBLI Control Using Ramped-Vane Micro-Vortex Generators |
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381 | (4) |
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385 | (4) |
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389 | (1) |
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390 | (3) |
| Appendix A: Supplemental Readings |
|
393 | (14) |
| Appendix B: The Uncertainty Analysis |
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407 | (4) |
| Appendix C: The Standard Atmosphere |
|
411 | (20) |
| Appendix D: Isentropic Table (γ = 1.4) |
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431 | (6) |
| Appendix E: Multiple Choice Questions in Aerospace Engineering |
|
437 | (68) |
| Appendix F: Letter of Acknowledgment |
|
505 | (2) |
| Index |
|
507 | |