## A Simplified Molecular Model for Studying Vibration-dissociation Coupling in Fluid Flows |

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### Contents

INTRODUCTION | 1 |

DERIVATION OF THE VIBRATIONDISSOCIATION | 11 |

IIB Development of the Equations | 18 |

9 other sections not shown

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### Common terms and phrases

A-states Adjusted shock passage Appendix approximate behavior Boltzmann distribution Chapter characteristic vibrational relaxation collision component terms computed concentration curves defined denoted density derivative Dimensionless vibrational temperatures discussion dissociation rate effects of anharmonicity eigenvalues energy interchange equilibrium equilibrium constant evaluated experimental data Figure IV-1 harmonic oscillator introduced j-th species kFeq Landau-Teller theory Marrone and Treanor master equations matrix model equations molecules Morse oscillator Nonequilibrium normal shock normal shock wave nozzle flow numerical integration obtained from quasi-steady parameters are listed partition function Phys plotted Pre-exponential factor pre-exponential temperature dependence procedure Qb(tb quasi-steady solution versus quasi-steady zone rate equations relations row of table separation shock wave solution versus temperature specific heat table IV-1 temperature associated parameters tion transition rates Treanor 58 truncation factor values Variables obtained versus temperature associated vibration-dissociation coupling Vibrational coupling factor vibrational energy levels vibrational levels vibrational transition yields