Most efficient convergent nozzle

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Discussion Overview

The discussion centers around the efficiency of convergent nozzles, specifically seeking to identify the most efficient shape and configuration for such nozzles. Participants explore the relationship between inlet velocity, throat velocity, and area ratios, considering both incompressible and compressible flow scenarios.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Experimental/applied

Main Points Raised

  • Some participants suggest that for incompressible flow, all nozzles must meet the criteria of inlet velocity to throat velocity ratio being close to the throat area to inlet area ratio due to conservation of mass.
  • Others argue that for compressible flow, the velocity ratio and area ratio are not directly related, which complicates the question of efficiency.
  • A participant mentions that a De Laval nozzle is typically a good choice for efficiency in many applications.
  • One participant references a book that discusses designing nozzles for steam using a Mollier chart, suggesting that these principles may apply to other compressible fluids.
  • Another participant notes that while convergent nozzles are generally efficient, compressibility effects can lead to discrepancies between velocity and area ratios at higher Mach numbers.
  • A participant shares their experience with a converging-diverging Venturi tube used in a plant, highlighting its high discharge coefficient and its importance for accurate flow measurement in reactor power production.
  • Some participants provide references to ASME standards and documents discussing nozzle configurations and their accuracy, indicating a focus on practical applications and standards in the industry.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between velocity ratios and area ratios in compressible versus incompressible flow, indicating that the discussion remains unresolved regarding the most efficient nozzle design and the implications of compressibility.

Contextual Notes

Participants mention various assumptions regarding fluid types and conditions, which may affect the applicability of their claims. The discussion also highlights the importance of specific applications in determining nozzle efficiency.

T C
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I want to know what's the most efficient type convergent nozzle available now at present. I means what's the shape that is most efficient for a convergent nozzle. By efficiency, I want to mean that the inlet velocity to throat velocity ratio will be as close as possible to the throat area to inlet area ratio.
 
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T C said:
I want to know what's the most efficient type convergent nozzle available now at present. I means what's the shape that is most efficient for a convergent nozzle. By efficiency, I want to mean that the inlet velocity to throat velocity ratio will be as close as possible to the throat area to inlet area ratio.
Wellllll...for incompressible flow, all nozzles must meet that criteria due to conservation of mass (continuity).

And for compressible flow, the velocity ratio and area ratio are by definition unchained.

So the question doesn't make a lot of sense to me, but for most of your questions the answer of a De Laval nozzle should suffice.

It would probably be better, though, to specify what you are trying to do - what fluid and conditions you are looking for, entering and leaving, and engineer your device from there.
 
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This book has a good chapter on how to design them for steam using a Mollier chart.
upload_2019-1-20_10-31-17.png


I suppose the principles would apply to other compressible fluids.

Another good reference for steam, but harder to find, would be Salisbury's classic

https://www.amazon.com/dp/B0042GKXMI/?tag=pfamazon01-20

old jim
 

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Convergent nozzles tend to be pretty efficient, though if you're running a compressible fluid with a high(ish) mach number, your velocity ratios and area ratios won't match due to compressibility effects. What's your application and why are you so concerned with nozzle efficiency?
 
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If you're measuring flow
in my plant , for feedwater flow we used a converging-diverging Venturi tube made to ASME standards.

upload_2019-1-21_14-56-11.png


To best of my memory It had a discharge coefficient of 0.995 so was pretty doggone 'efficient' .
That measurement we used to calculate the reactor's power production so we wanted it accurate - even applied corrections for local gravity.

See ASME's book "Fluid Meters"
https://www.asme.org/products/books/fluid-meters-theory-application-sixth

here's an overview ,
ftp://ftp.unicauca.edu.co/Facultades/FIET/DEIC/Materias/Instrumentacion%20Industrial/Instrument_Engineers__Handbook_-_Process_Measurement_and_Analysis/Instrument%20Engineers'%20Handbook%20-%20Process%20Measurement%20and%20Analysis/1083ch2_29.pdf

in my circles that ASME book is "The Bible": .
 

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ASME configuration nozzles are extremely efficient i.e.>.99% of the theoretical flow for gases. The below document has both nozzle configuration dimensions and a discussion related to their accuracy.

http://www.fmcltd.uk.com/flow-nozzle-asme-ptc6.php
 
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JBA said:
The below document has both nozzle configuration dimensions and a discussion related to their accuracy.
What a great reference !
Thanks !
 
Thanks to everybody for their contributions.
 

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