A converging-diverging nozzle with an area ratio of 3.0 is attached to an air reservoir maintained at 500 kPa and 27°C. The behavior of the flow through the nozzle depends on the back pressure and can be classified into four regimes based on the back pressure value. A table should be prepared summarizing the throat Mach number, exit pressure and Mach number, back pressure range, whether the exit Mach number is unity, and whether the exit pressure equals the back pressure for each regime and flow condition. The design, under-expanded, and over-expanded nozzle conditions should also be indicated.

1. converging nozzle
A converging-diverging nozzle with Ae/A 3.0 is attached to a resevoir in which air is main
tained at 500 kPa and 27°C. As discussed in lecture and illustrated in above film, the behavior
of the flow in the diverging section and at the nozzle exit depends on the value of the back
pressure, pb. As indicated in Fig. 13.12 in text, the behavior can be classified into four Regimes
(I-IV), which are demarcated by pb values associated with the fl w conditions (iii), (iv), (vii).
Prepare a table summarizing the following a. for each Regime and flow condition (iii, iv, vii), if
throat Mach number Mt is unity b. for each flow condition, the exit pressure, pe, and exit Mach
number, Me c. the range of pb values associated with each Regime d. for each Regime, if Me is
k, unity e. for each Regime and flow condition if pe is pb f. indicate which case is design
condition, undererpanded nozzle, overeapanded nozzle
Solution
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