Validation of two-temperature models of oxygen dissociation in the problem of shock wave reflection from the wall

Predicted numerical distributions of the vibrational temperature of molecular oxygen behind a reflected shock wave are compared with experimental measurements in a shock tube. The computations are performed with the use of five two-temperature models (those developed by Park and Kuznetsov, $\beta$-model, and models of Marrone and Treanor and by Macheret and Fridman), five dissociation constants, and three variants of the source term that describes the rate of change of the vibrational energy due to chemical reactions. The Landau–Teller model is used to calculate the rate of translational-vibrational energy transfer, and the time of vibrational relaxation is calculated by the Millikan–White formula with allowance for Park's high-temperature correction. The numerical and experimental results are found to be in reasonable agreement. The greatest difference between the numerical and experimental data is observed in the region of relaxation of the shock wave incident onto the wall.