“…The value of dci/dx is proportional to ρ for the VT and VVT reactions, and the value of dci/dx is proportional to ρ 2 for the recombination reactions. Since p is proportional to ρ according to the ideal gas law, the aforementioned trends for ρ can also be said for p. In the expansion tunnel, the nozzle inlet pressure typically ranges from around 10 kPa to 100 kPa [94][95][96][97], while the nozzle inlet velocity typically ranges from around 4 km/s to 11 km/s [95,98,99]. Based on these conditions and the discussion on the dependencies of dci/dx, we can see that it is the range of the inlet pressure (an order of magnitude, which is much higher than the factor of 2-3 for the range of the inlet velocity) which would determine the variety of different thermochemical behaviors (equilibrium, frozen, nonequilibrium) that are possible in the expansion tunnel nozzle.…”