Validation of Models of State-to-State Oxygen Kinetics behind Shock Waves

Abstract

State-to-state vibrational-chemical kinetics of a binary mixture of oxygen molecules and atoms behind the shock wave is studied. The processes of vibrational energy exchange are described on the basis of the SSH theory and the forced harmonic oscillator model (FHO). Dissociation of oxygen molecules is simulated using the generalized Treanor-Marrone model (TM) with various values of the parameter U available in the literature. All numerical results are compared with experimental data. It is found that the use of the FHO model in combination with the TM model parameter U = 3T or the modified U parameter proposed by Pogosbekian, Sergievskaya (2018) based on trajectory calculations provides satisfactory agreement when compared with the experiment under conditions with the gas temperature behind the shock front greater than 7000 K. Under conditions with the temperature less than 7000 K, the FHO model in combination with the parameter U = ∞ or the modified parameter U proposed by Savelev (2016) give the best agreement when compared with the experiments.