The National Transonic Facility (NTF) is a wind tunnel designed to operate at Mach and Reynolds numbers comparable to flight conditions. It uses nitrogen at cryogenic temperatures as the working fluid. A schlieren photograph taken in the NTF of a 1/20th scale model of a Concorde airplane (full-scale wingspan of 30 m) shows a Mach angle of 28° at a point where the temperature is 100°K and the pressure is 9, 000 P a. Find the local Mach number and the Reynolds number based on the model wingspan, given that the viscosity of nitrogen under these conditions is 7 × 10-6N · s/m2 . Compare with the conditions experienced by the full-scale airplane flying at 600 m/s at an altitude of 20, 000 m in a standard atmosphere.