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Calculation and experimental study was conducted with the flow, heat flux and pressure distribution over the front and side surfaces of a blunt cone in a non-equilibrium high-enthalpy (h0 = 25 MJ/kg) supersonic (М = 4) air flow. Experiments were performed in wind tunnel (WT) VAT-104, TsAGI. The nose part of the model with a small-radius nose Rw = 10 mm and half angle = 10 was inside the “Mach cone” of the underexpanded jet flowing out from the WT nozzle. Numerical and experimental results are in agreement.