Sonic velocity at the throat of a convergent-divergent nozzle

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Discussion Overview

The discussion revolves around the behavior of gaseous fluids in a convergent-divergent nozzle, specifically focusing 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. The inquiry touches on aspects of fluid dynamics and compressible flow theory.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant asserts that a convergent-divergent nozzle can achieve supersonic flow if the pressure difference is sufficient, questioning the conditions under which the throat velocity remains sonic.
  • Another participant prompts the original poster to consider whether they have attempted to solve the problem independently, suggesting that a simple yes/no answer could be found online.
  • The original poster seeks guidance on how to approach the problem.
  • There is a question regarding the original poster's background in compressible flow, implying that familiarity with the subject may influence their understanding of the problem.

Areas of Agreement / Disagreement

The discussion does not present a consensus, as participants have differing levels of engagement and understanding of the topic, with some questioning the original poster's approach and knowledge.

Contextual Notes

There are indications that assumptions about the nozzle's geometry and flow conditions may not be fully addressed, and the discussion lacks detailed exploration of the mathematical principles involved in determining throat velocity.

Who May Find This Useful

Individuals interested in fluid dynamics, particularly those studying compressible flow or working with nozzle design, may find this discussion relevant.

T C
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TL;DR
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?
 

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