Calculating mean radius of a gas turbine rotor (blade and hub)

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SUMMARY

The discussion focuses on calculating the mean radius of a gas turbine rotor using the formula r_m = mdot / (2 * π * U * N), where r_m is the mean radius in feet, mdot is the mass flow rate in lbm/s, U is the blade velocity in ft/s, and N is the RPM. Participants emphasize the importance of correctly converting RPM to seconds and using π to convert radians. Accurate unit conversions are crucial for obtaining the correct mean radius value.

PREREQUISITES
  • Understanding of gas turbine rotor mechanics
  • Familiarity with unit conversions, particularly RPM to seconds
  • Knowledge of basic fluid dynamics principles
  • Proficiency in using mathematical constants like π
NEXT STEPS
  • Review the principles of gas turbine performance calculations
  • Learn about unit conversion techniques in engineering
  • Explore the impact of blade velocity on turbine efficiency
  • Investigate the relationship between mass flow rate and rotor design
USEFUL FOR

Engineering students, mechanical engineers, and professionals involved in gas turbine design and performance analysis will benefit from this discussion.

jcm0889
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Homework Statement


I'm having difficulty obtaining an accurate value possibly due to unit conversions.


Homework Equations


r_m=mdot/(2*pi*U*N)
r_m=mean radius, ft
mdot=mass flow rate, lbm/s
U= blade velocity, ft/s
N= RPM

The Attempt at a Solution


I know that I have to convert Rpm into seconds and pi converts it 2 rads
 
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hi jcm0889! welcome to pf! :smile:

(have a pi: π and try using the X2 tag just above the Reply box :wink:)
jcm0889 said:
I know that I have to convert Rpm into seconds and pi converts it 2 rads

did you mean that?

converts R to radians :wink:

if that doesn't sort it out, show us your full calculations, and then we'll see what went wrong, and we'll know how to help! :smile:
 

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