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Question no. 27644

How is the critical pressure ratio of a convergent nozzle defined_____________?

Select your answer for: How is the critical pressure ratio of a convergent nozzle defined_____________?
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Answer: D. the ratio of outlet pressure to inlet pressure only when mass flow rate = c

Explanation

The critical pressure ratio for a nozzle occurs when the flow becomes choked and the mass flow rate per unit area reaches its maximum constant value. At this specific threshold, the fluid velocity at the throat of the nozzle equals the local speed of sound. Any further reduction in back pressure will not increase the mass flow rate passing through the nozzle throat. Nozzles convert thermal energy from high-pressure gases into kinetic energy by expanding the fluid through a converging or diverging geometry. Choked flow is a limiting fluid dynamic condition where mass flow rate reaches a plateau despite decreasing downstream pressure. The mathematical derivation involves differentiating the continuity and energy equations with respect to pressure to find the maximum.

Simply defining it as the ratio of outlet to inlet pressure without the maximum mass flow condition is incomplete. Inverting the ratio to place inlet pressure over outlet pressure contradicts standard thermodynamic conventions for nozzle flow. Stating a constant mass flow rate without the condition of maximum flow per unit area lacks necessary precision.

Subject
Engineering
Topic
—
Difficulty
medium

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