Index

Acoustic wave, 11, 126 establishment of flow in, 77 special case of normal , 29 illustration in T-s and P-v diagram, Afterburner, 98 78 Area relation, 76 Corner Area velocity relation, 73 concave, 109, 129 convex, 129 Bow shock, 119 Critical pressure nozzle Choking steam, 147 friction, 62 Critical state, 141 geometric, 75 thermal, 48 Detached shock, 119 Combustion wave, 50 Dryness fraction Combustor definition, 141 design issues,COPYRIGHTED 46 MATERIAL pressure oscillations, 52 Enthalpy, 7 Compressibility, 1 Equilibrium isentropic, 3 metastable, 152 isothermal, 2 Expansion fan, 130 limit, 3 nozzle exit, 80 Conservative form, 10 reflection from constant pressure bound- Continuum limit, 5 ary, 136 Convergent divergent nozzle, 82 establishment of flow in Fanno curve, 60 illustration in T-s diagram, 83 Fanno flow, 57 Convergent nozzle changes in properties, 60

Fundamentals of Gas Dynamics, Second Edition. V. Babu. 227 © 2015 V. Babu. Published 2015 by Athena Academic Ltd and John Wiley & Sons Ltd 228 INDEX

illustration in T-s diagram, 60 Over expanded flow, 86 interaction with nozzle flow, 92 sonic state, 63 Perfect gas Friction calorically perfect, 6 effect of, 57 Equation of state, 3 factor, 58 alternative forms, 4 Specific heats, 7 H-curve Prandtl Meyer Normal shock wave, 36 angle, 134 Rayleigh flow, 46 flow, 129 sonic state, 48 Heat addition, 39 Quasi one-dimensional, 69

Impulse function, 70 Ramjet engine Intake inlet interaction, 52 capture area, 115 intake, 115 critical mode, 115 schematic, 24 supersonic, 89, 115 Rankine-Hugoniot equation, 36 Internal energy Rayleigh curve, 44 distribution, 7 Rayleigh flow, 39 modes, 6 changes in properties, 42 Isentropic process, 10 illustration in P-v diagram, 46 illustraion in T-s and P-v diagram, 21 ilustration in T-s diagram, 44 relation, 16 interaction with nozzle flow, 96 steam, 144 sonic state, 52 Rayleigh line Knudsen number, 5 normal shock, 35 sonic state, 48 Mach Reference states, 14 angle, 112, 128 sonic state, 14 cone, 128 stagnation state, 14 number, 3 reflection, 121 Saturation wave, 112, 128 pressure, 141 flow across, 131 , 141 Mass flow rate Scramjet engine choked, 77 inlet interaction, 52 intake, 115 Normal shock, 25 Second law entropy change, 29 differential form, 10 illustration in P-v diagram, 36 Entropy change for a process, 11 illustration in T-s and P-v diagram, 32 TdS relation, 10 loss of , 29 Shock moving, 32 condensation, 155 special case of oblique shock, 112 Shock angle, 109 strength, 29 Shock diamond, 119 Slip line, 121, 129 Oblique shock, 107 Sonic state, 14, 44 θ − β − M relation, 110 Fanno flow, 63 flow deflection angle, 109 illustration in T-s, P-v diagram, 21 from nozzle exit, 117 nozzle reflection steam, 147 from constant pressure boundary, nozzle flow, 75 135 Rayleigh flow, 52 from wall, 121 Rayleigh line, 48 INDEX 229

Speed of sound, 12 mixture of gases, 13 Perfect gas, 13 reacting flow, 13 steam, 145 Stagnation density, 17 Stagnation pressure changes in, 18 definition, 16 loss, 29, 46, 62, 108, 112 Stagnation state definition, 14 illustration in T-s, P-v diagram, 21 changes in, 18 definition, 15 Strong oblique shock, 111 Supersaturated flow degree of supercooling, 154 degree of supersaturation, 154 Wilson line, 155

Thrust loss of, 80 momentum, 71 pressure, 71

Under expanded flow, 51, 62, 80, 86

Velocity triangle, 109, 132

Wave angle, 109 Weak oblique shock, 111 Wilson line, 155 Wind tunnel supersonic, 88