(Solved): Supersonic Flow (17 points) A converging-diverging nozzle has an expansion ratio \( A / A^{*} \) a ...

Supersonic Flow (17 points) A converging-diverging nozzle has an expansion ratio \( A / A^{*} \) at the inlet and outlet of \( 1.3 \) (see figure below). This means that the area of the entrance (labeled station 1) and the exit (station 2) both have \( 30 \% \) more cross-sectional area than the throat (denoted with the \( * \) ). 1. (12 pts) Find the Mach numbers at the inlet and outlet if \( \gamma=1.33 \). 2. (3 pts) At \( \gamma=1.25 \), what would the outlet Mach be (at station 2) of the same nozzle? 3. (2 pts) In a sentence or two, interpret the results. Would a change of the reaction chemistry or a change in the geometry of the nozzle have a greater effect on exit Mach? For this question, you do not need to give an exact answer. Instead, I recommend you use an iterative approach or a numerical solution to get Mach numbers within \( 0.03 \) of the actual values.