A jet plane travelling at a velocity of 900 m/s at 6 km altitude where the tempe

Question

A jet plane travelling at a velocity of 900 m/s at 6 km altitude where the temperature and the pressure are -24 degree C and 47.72 kPa, respectively, is to be tested in a pressurized tank of carbon dioxide at 20 degree C. The model is fired like a projectile as shown in figure below and the aim is to the estimate the drag coefficient of the prototype from model toting. If the model tested in the tank is 1/10th scale of the prototype, determine: the required velocity of the model in the tank, in m/s. the required pressure in the tank, in kPa. Note that dimensionless analysis reveals that: pi1 = F0/rowV2L = (pi2,pi3) where pi2 = Mach number and pi3 = Reynolds number Rair = 0.287 kJ/kgK, RCO2 = 0.1878 kJ/kgK., kair = 1.4, kCO2 = 1.28 mu air = 1.60 Times 10-5 Pa.s, mu CO2 = 1.47xl0-5 Pa.s, Pv = RT speed of sound, where T is in K.

Explanation / Answer

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