Sonic velocity at the throat of a convergent-divergent nozzle

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In a convergent-divergent nozzle, a sufficient pressure difference between the inlet and release is necessary for achieving supersonic flow. The discussion centers on whether the velocity at the throat will always be sonic regardless of the inlet-to-throat ratio and the geometry of the divergent section. Factors influencing throat velocity include the specific design and operating conditions of the nozzle. Participants emphasize the importance of understanding compressible flow principles to address these questions effectively. Overall, achieving sonic velocity at the throat is contingent on several factors beyond just pressure differences.
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Sufficiently pressurised compressible fluid is being released through a convergent-divergent nozzle. I want to know that whether irrespective of the geometry and inlet to throat ratio of the nozzle, do the velocity at the throat will always remain sonic?
Sufficiently pressurised (difference between inlet and release pressure is enough to create supersonic flow) gaseous fluid is being released through a convergent-divergent nozzle. And it's a known fact that if pressure difference is sufficient, a convergent-divergent nozzle can release gaseous fluid at supersonic velocity. I want to know that whether irrespective of the inlet to throat ratio and geometry of the divergent section, do the velocity at the throat will always remain sonic or it need some factors to keep the velocity sonic at the throat.
 
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Have you done any work to try to work out this problem on your own? If you are only looking for a yes/no answer, then you could get that from Google.
 
How? Kindly guide me.
 
Have you ever taken a compressible flow course or are you otherwise familiar with compressible flow?
 
My idea is that I want to use immerse Whitetail Antlers in a fishtank to measure their volumetric displacement (the Boone and Crockett system is the current record measurement standard to place in a juxtaposition with) I would use some sight glass plumbed into the side of the tank to get the change in height so that I can multiply by the tank cross-section. Simple Idea. But... Is there a simple mechanical way to amplify the height in the sight glass to increase measurement precision...

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