The performance of a nozzle with an area ratio of A e /A t = 6.5 is investigated. The stagnation chamber conditions are p0 = 50 atm, ρ0 = 55 kg/m 3 , and T0 = 300 K. If the throat area is A t = 2 cm 2...

The performance of a nozzle with an area ratio of A_e/A_t
= 6.5 is investigated. The stagnation chamber conditions are p0 = 50 atm, ρ0 = 55 kg/m³, and T0 = 300 K. If the throat area is A_t
= 2 cm²
and the ambient pressure is p_a
= 1 atm, then calculate the nozzle exit velocity and the thrust of this unit (γ = 1.4, R = 287 m²/s2 K).

A 50-L container (as shown in Fig. 10.6) is filled with air at a pressure of 40 atm and a temperature of 300 K. Suddenly a small nozzle with a throat area of 1 cm²
is opened, allowing the air to flow outside (where the pressure is 1 atm). Calculate the variation of the pressure with time inside the tank and the axial force it creates (γ = 1.4, R = 287 m²/s²
K).