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The nozzle throat area is same as the diffuser throat area.(a) True(b) FalseI have been asked this question in homework.This intriguing question originated from Supersonic Wind Tunnels topic in division Compressible Flow through Nozzles, Diffusers and Wind Tunnels of Aerodynamics

Answer»

Correct CHOICE is (b) False

Explanation: If we CONSIDER the nozzle throat area as section 1, then the mass flow RATE through the section is \(\dot {m_1}\) = ρ1u1A1t. The mass flow rate through th diffuser throat area is \(\dot {m_2}\) = ρ2u2A2t. Since there’s steady flow in side the wind tunnel, thus the mass flow rate remains same.

\(\dot {m_1} = \dot {m_2}\)

ρ1u1A1t = ρ2 u2A1t

But due to the PRESENCE of shock waves inside the diffuser, the DENSITY and the flow velocity are not same. (ρ1≠ρ2, u1≠u2). This means that the throat areas are also not same.



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