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In which scenario is the throat area of both the nozzle and diffuser the same?

(a) Ideal isentropic diffuser

(b) Ideal adiabatic diffuser

(c) Ideal isobaric diffuser

(d) Ideal Isochoric diffuser

I got this question in semester exam.

I want to ask this question from Supersonic Wind Tunnels in division Compressible Flow through Nozzles, Diffusers and Wind Tunnels of Aerodynamics

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Right answer is (a) Ideal isentropic diffuser

To explain: In case of ideal isentropic diffuser the total pressure remains constant. Thus from the relation between the throat area and total pressure we see that p01 = p02 = constant. Hence the throat areas At2 = At1. It is important to note that ideal isentropic diffuser is a hypothetical case and is not possible to achieve in real life.

\(\frac {A_{t2}}{A_{t1}} = \frac {p_{01}}{p_{02}}\)

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