Question

# Air enters a converging–diverging nozzle with low velocity at 2.0 MPa and $100^{\circ} \mathrm{C}$. If the exit area of the nozzle is 3.5 times the throat area, what must the back pressure be to produce a normal shock at the exit plane of the nozzle?

Solution

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In the task, we are given starting temperature and pressure, and the area ratio. Like in the previous examples we will assume the following:

1. The flow is isentropic.
2. Air is an ideal gas with constant specific heat at room temperature.

The specific heat ratio k of ideal gas given in the task is:

\begin{aligned} &c_p = 1.005\ \mathrm{\frac {kJ}{kgK} }\\\\ &k = 1.4\\ \end{aligned}

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