State-to-state oxygen kinetics behind reflected shock waves: Assessment of different approaches

• Main Authors: Kravchenko, D., Kunova, O., Kustova, E., Melnik, M.
• Format: Conference Proceeding
• Language: English
• Subjects: Error correction; Mathematical models; Oxygen; Parameters; Reflected waves; Shock wave reflection; Temperature profiles; Time measurement
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/5.0187393

We study the influence of vibrational and chemical relaxation behind the incident shock wave on the gas parameters behind the reflected wave. The detailed state-to-state approach is used to simulate the shock tube experiment for the pure oxygen flow. We extend our previous work including comparison with experimentally measured pressure time-histories behind the re-flected shock wave. The vibrational temperature time-histories are compared with both experimental and theoretical data obtained recently using simulations based on quasiclassical trajectory (QCT) method. The results show a weak role of dissociation reactions and, on the contrary, a significant effect of vibrational relaxation in the region between the incident and reflected shock waves on the pressure and temperature profiles. The best agreement with the experimental vibrational temperature is obtained for the combination of the Schwartz–Slawsky–Herzfeld (SSH) model of vibrational energy transitions and the state-specific Marrone–Treanor dissociation model with the parameter U = 3T. Three different definitions of the vibrational temperature are assessed, and their equivalence is proved. For more accurate comparison with experimental data we propose an additional correction to the experimental error which takes into account the effect of vibrational relaxation between the incident and reflected shocks. This correction is found large near the reflected shock front but tends to zero with rising distance.