Rowan-Gollan-PhD-Thesis - Mechanical Engineering - University of ...

6 Applications 113
6.1 Description of expansion tube facilities and experiments . . . . . . . . . . . . . . 114
6.1.1 Motivation for experiments associated with Titan entry . . . . . . . . . . . 119
6.2 Simulation of X2 operated in expansion tunnel mode . . . . . . . . . . . . . . . . 119
6.2.1 Target test condition and operating condition . . . . . . . . . . . . . . . . . 120
6.2.2 Numerical simulation procedure . . . . . . . . . . . . . . . . . . . . . . . . 120
6.2.3 Simulation results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
6.2.4 Discussion of results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127
6.2.5 Concluding remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
6.3 Simulation of X2 operated in nonreflected shock tube mode . . . . . . . . . . . . 130
6.3.1 Description of experiment . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131
6.3.2 One-dimensional simulation . . . . . . . . . . . . . . . . . . . . . . . . . . 132
6.3.3 Axisymmetric simulation: method and results . . . . . . . . . . . . . . . . 133
6.3.4 Concluding remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
6.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
7 Conclusion 143
7.1 Contributions made by this thesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146
7.2 Recommendations for future work . . . . . . . . . . . . . . . . . . . . . . . . . . . 146
References 149
A InputfilesforChapter3 163
A.1 Input file for Method of Manufactured Solutions verification case . . . . . . . . . 163
A.2 Input file for the oblique detonation wave verification case . . . . . . . . . . . . . 164
A.3 Input file for spheres fired into noble gases . . . . . . . . . . . . . . . . . . . . . . 165
B Analyticalsolutionforan obliquedetonationwave 169
B.1 Procedure to determine curved wedge . . . . . . . . . . . . . . . . . . . . . . . . . 171
B.2 Procedure to compute the analytical flow field . . . . . . . . . . . . . . . . . . . . 171
B.3 A program to compute the analytical solution for an oblique detonation wave . . 171
C Reaction schemes 177
C.1 Air reaction schemes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177
C.1.1 Marrone . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177
C.1.2 Marrone reaction scheme with reaction rates from Gupta et al. . . . . . . . 178
C.1.3 Gupta et al. scheme for neutral air reactions . . . . . . . . . . . . . . . . . 179
C.2 Hydrogen/Air combustion schemes . . . . . . . . . . . . . . . . . . . . . . . . . . 179
C.2.1 Rogers and Schexnayder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179
C.2.2 Evans and Schexnayder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181
C.2.3 Frenklach, Wang and Rabinowitz . . . . . . . . . . . . . . . . . . . . . . . . 183
C.2.4 Mott’s rates with the mechanism by Frenklach, Wang and Rabinowitz . . 184
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