Q1. [20 marks]
At the entrance to a convergent nozzle the stagnation pressure and temperature are 138 kPa and 833 K.
Exit area of the nozzle is 0.11 m$^2$. Assume no losses and no heat transfer. ($R = 287 \frac{J}{Kg \cdot K}$, $\gamma = 1.33$)
(a) For a back pressure of 101.3 kPa, calculate the exit velocity and mass flow rate.
(b) If the back pressure were reduced to 34.5 kPa, why would it be necessary to add a divergent section to the nozzle?
(c) With a divergent section added to the nozzle to achieve full expansion at a back pressure of 34.5 kPa, determine the exit velocity and mass flow rate.
