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Calculating characteristic length for heat transfer along nozzle injector

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YungPlantEng

YungPlantEng

Chemical
Joined
Jan 19, 2022
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We have an injection nozzle supply water to a quench tower that adiabatically cools incoming gas from 2400 to 200 F. I am trying to calculate external nozzle temperature (not accounting for ash accumulation/oxidation of the surface) and am having trouble understanding how to confirm the characteristic length for the external gas stream against the nozzle. Am I just able to make the annulus assumption? The flow is very turbulent approaching .3-.5 the speed of the sound.
 
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