Mach number is the velocity normalized by the local speed of sound, a = \sqrt{\gamma R T}. In terms of Mach number, the stagnation temperature is: T_0 = T \left( 1 + \frac{\gamma - 1}{2} M^2 \right) ...
Even at Mach 8 a Reynolds number based on momentum thickness of about 15,000 seems possible, with natural transition and a highly cooled wall. The key part of the installation is a storage heater ...