About the Author |
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xiii | |
Preface |
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xv | |
1 Basic Facts |
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1 | (26) |
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1 | (2) |
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1 | (2) |
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1.2 Enthalpy versus Internal Energy |
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3 | (2) |
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4 | (1) |
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1.3 Gas Dynamics of Perfect Gases |
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5 | (1) |
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6 | (1) |
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7 | (4) |
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1.5.1 Limiting Conditions for Compressibility |
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8 | (3) |
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11 | (1) |
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11 | (4) |
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15 | (2) |
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17 | (2) |
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19 | (1) |
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19 | (1) |
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19 | (6) |
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25 | (1) |
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25 | (2) |
2 Thermodynamics of Fluid Flow |
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27 | (38) |
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27 | (1) |
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2.2 First Law of Thermodynamics |
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28 | (4) |
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2.2.1 Energy Equation for an Open System |
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29 | (2) |
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2.2.2 Adiabatic Flow Process |
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31 | (1) |
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2.3 The Second Law of Thermodynamics (Entropy Equation) |
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32 | (1) |
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2.4 Thermal and Calorical Properties |
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33 | (2) |
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2.4.1 Thermally Perfect Gas |
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34 | (1) |
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35 | (24) |
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2.5.1 Entropy Calculation |
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36 | (3) |
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2.5.2 Isentropic Relations |
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39 | (7) |
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2.5.3 Limitations on Air as a Perfect Gas |
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46 | (13) |
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59 | (3) |
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62 | (2) |
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64 | (1) |
3 Wave Propagation |
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65 | (14) |
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65 | (1) |
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66 | (1) |
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3.3 Subsonic and Supersonic Flows |
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66 | (4) |
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3.4 Similarity Parameters |
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70 | (1) |
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71 | (2) |
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3.6 Compressible Flow Regimes |
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73 | (2) |
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75 | (1) |
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76 | (1) |
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77 | (2) |
4 High-Temperature Flows |
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79 | (116) |
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79 | (2) |
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4.2 Importance of High-Enthalpy Flows |
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81 | (2) |
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4.3 Nature of High-Enthalpy Flows |
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83 | (1) |
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4.4 Most Probable Macrostate |
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83 | (2) |
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4.5 Counting the Number of Microstates for a given Macrostate |
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85 | (9) |
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4.5.1 Bose—Einstein Statistics |
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86 | (1) |
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4.5.2 Fermi—Dirac Statistics |
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87 | (1) |
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4.5.3 The Most Probable Macrostate |
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87 | (5) |
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4.5.4 The Limiting Case: Boltzmann's Distribution |
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92 | (2) |
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4.6 Evaluation of Thermodynamic Properties |
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94 | (5) |
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95 | (4) |
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4.7 Evaluation of Partition Function in terms of T and V |
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99 | (4) |
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4.8 High-Temperature Thermodynamic Properties of a Single-Species Gas |
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103 | (5) |
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4.9 Equilibrium Properties of High-Temperature Air |
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108 | (1) |
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4.10 Kinetic Theory of Gases |
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108 | (3) |
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4.11 Collision Frequency and Mean Free Path |
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111 | (4) |
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4.11.1 Variation of Z and 2 with λ and T of the Gas |
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114 | (1) |
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4.12 Velocity and Speed Distribution Functions |
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115 | (6) |
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4.13 Inviscid High-Temperature Equilibrium Flows |
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121 | (1) |
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121 | (2) |
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4.15 Normal and Oblique Shocks |
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123 | (7) |
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4.16 Oblique Shock Wave in an Equilibrium Gas |
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130 | (2) |
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4.17 Equilibrium Quasi-One-Dimensional Nozzle Flows |
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132 | (7) |
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4.17.1 Quasi One-Dimensional Flow |
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134 | (5) |
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4.18 Frozen and Equilibrium Flows |
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139 | (2) |
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4.19 Equilibrium and Frozen Specific Heats |
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141 | (7) |
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4.19.1 Equilibrium Speed of Sound |
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145 | (1) |
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4.19.2 Quantitative Relation for the Equilibrium Speed of Sound |
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146 | (2) |
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4.20 Inviscid High-Temperature Nonequilibrium Flows |
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148 | (5) |
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4.20.1 Governing Equations for Inviscid, Nonequilibrium Flows |
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149 | (4) |
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4.21 Nonequilibrium Normal Shock and Oblique Shock Flows |
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153 | (8) |
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4.21.1 Nonequilibrium Flow behind an Oblique Shock Wave |
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156 | (2) |
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4.21.2 Nonequilibrium Quasi-One-Dimensional Nozzle Flows |
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158 | (3) |
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4.22 Nonequilibrium Flow over Blunt-Nosed Bodies |
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161 | (2) |
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4.23 Transport Properties in High-Temperature Gases |
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163 | (11) |
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4.23.1 Momentum Transport |
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164 | (1) |
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165 | (1) |
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165 | (9) |
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174 | (17) |
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191 | (3) |
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194 | (1) |
5 Hypersonic Flows |
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195 | (38) |
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195 | (1) |
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196 | (2) |
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5.3 Mach Number Independence Principle |
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198 | (1) |
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5.4 Hypersonic Flow Characteristics |
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199 | (8) |
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5.4.1 Noncontinuum Considerations |
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199 | (1) |
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200 | (4) |
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5.4.3 Stagnation Pressure behind a Normal Shock Wave |
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204 | (3) |
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207 | (3) |
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208 | (1) |
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5.5.2 Nonequilibrium Flows |
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208 | (1) |
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5.5.3 Thermal, Chemical, and Global Equilibrium Conditions |
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209 | (1) |
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210 | (1) |
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211 | (3) |
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5.7.1 Viscosity coefficient |
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211 | (1) |
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212 | (1) |
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5.7.3 Diffusion Coefficient |
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212 | (2) |
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214 | (1) |
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214 | (2) |
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216 | (3) |
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5.11 General Form of the Equations of Motion |
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219 | (2) |
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5.11.1 Overall Continuity Equation |
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220 | (1) |
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220 | (1) |
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221 | (1) |
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5.12 Experimental Measurements of Hypersonic Flows |
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221 | (1) |
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5.13 Measurements of Hypersonic Flows |
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222 | (2) |
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5.13.1 Hypersonic Experimental Facilities |
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224 | (1) |
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224 | (6) |
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230 | (1) |
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230 | (3) |
6 Aerothermodynamics |
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233 | (64) |
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233 | (1) |
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6.2 Empirical Correlations |
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234 | (1) |
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6.3 Viscous Interaction with External Flow |
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235 | (1) |
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6.4 CFD for Hypersonic Flows |
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236 | (3) |
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238 | (1) |
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6.5 Computation Based on a Two-layer Flow Model |
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239 | (5) |
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6.5.1 Conceptual Design Codes |
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239 | (1) |
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6.5.2 Characteristics of Two-Layer CFD Models |
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240 | (2) |
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6.5.3 Evaluating Properties at the Boundary Layer Edge |
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242 | (2) |
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6.6 Calibration and Validation of the CFD Codes |
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244 | (1) |
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6.7 Basic CFD — Intuitive Understanding |
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245 | (46) |
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6.7.1 Governing Equations Based on Conservation Law |
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245 | (2) |
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6.7.2 Euler Equations in Conservation Form |
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247 | (1) |
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6.7.3 Characteristics of Fluid Dynamic Equations |
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248 | (2) |
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6.7.4 Advection Equation and Solving Techniques |
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250 | (11) |
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6.7.5 Solving Euler Equations — Extension to System Equations |
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261 | (30) |
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291 | (3) |
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294 | (1) |
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294 | (3) |
7 High-Enthalpy Facilities |
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297 | (26) |
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297 | (1) |
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298 | (1) |
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299 | (2) |
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301 | (4) |
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7.4.1 Shock Tube Applications |
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302 | (3) |
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305 | (1) |
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305 | (1) |
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7.7 Some of the Working Facilities |
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306 | (6) |
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7.7.1 Hypersonic Wind Tunnel |
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307 | (1) |
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7.7.2 High-Enthalpy Shock Tunnel (HIEST) |
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307 | (2) |
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7.7.3 Hypersonic and High-Enthalpy Wind Tunnel |
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309 | (1) |
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7.7.4 Von Karman Institute Longshot Free-Piston Tunnel |
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310 | (1) |
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7.7.5 MHD Acceleration in High-Enthalpy Wind Tunnels |
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311 | (1) |
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7.7.6 Measurement Techniques |
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311 | (1) |
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312 | (6) |
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7.8.1 Thermally Perfect Gas |
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313 | (1) |
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7.8.2 Calorically Perfect Gas |
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313 | (1) |
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7.8.3 Perfect or Ideal Gas |
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313 | (1) |
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7.8.4 Thermal Equilibrium |
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314 | (1) |
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7.8.5 Chemical Equilibrium |
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314 | (1) |
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7.8.6 Caloric and Chemical Effects |
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315 | (1) |
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315 | (1) |
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315 | (1) |
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7.8.9 Viscous and Rarefaction Effects |
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316 | (1) |
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7.8.10 Trajectory Dependence |
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316 | (1) |
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7.8.11 Nonequilibrium Effects |
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316 | (1) |
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317 | (1) |
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7.8.13 Real-Gas Equation of State |
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317 | (1) |
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318 | (3) |
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321 | (1) |
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322 | (1) |
Further Readings |
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323 | (2) |
Index |
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325 | |