Question regarding converging-diverging nozzles

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SUMMARY

The discussion centers on the operational principles of converging-diverging nozzles, specifically addressing the conditions necessary to achieve sonic flow in the throat. It is established that a significant pressure differential is essential; if the downstream pressure is high and does not reach the critical pressure, sonic conditions cannot be achieved. The conversation emphasizes that to reach choking conditions, either the downstream pressure must be lowered or the upstream pressure increased to meet the critical pressure requirement.

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Amaelle
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TL;DR
Good day!

I have a question regarding the converging-diverging nozzle (look at the image)

Normally, in order to expand the mass flow rate, we reduce the downstream pressure

my question is how can we reach the sonic condition in the throat when the downstream pressure is considerably high(does not reach the critical pressure?

many thanks in advance
Good day!
I have a question regarding the converging-diverging nozzle (look at the image)
Normally, in order to expand the mass flow rate, we reduce the downstream pressure
my question is how can we reach the sonic condition in the throat when the downstream pressure is considerably high(does not reach the critical pressure?
many thanks in advance
convergent divergent nozzle.png
 
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In short: you can't. If you don't have the required pressure differential, you don't have the appropriate motive force to accelerate the flow that much.
 
To be picky, if you have a considerable pressure downstream, you need a higher pressure upstream to achieve the choking condition. But the downstream pressure will always have to be the critical pressure (either by lowering downstream pressure or increasing upstream pressure) in order to get choking.
 

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