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Turbine Meter Algorithm

Turbine Meter Algorithm

Turbine Meter Algorithm

(OP)
I need to incorporate a Temperature & Pressure Correction factor into my program in order to correct Ethanol and Gasoline to 15C in a turbine meter. It seems that the meter output would be directly proportional to the fluid density with viscosity pretty much negligible in the 10-40C range. I would think this would be a readily available equation for these things but it is proving a difficult task.

Can anyone offer some insight?

RE: Turbine Meter Algorithm

I always thought that turbine output was dependent on revolutions, which was proportional to volume passing by, which had little to do with the density of the fluid being measured, once you had it calibrated for either liquid or gas.  Then once you knew the volume at temperature and pressure conditions, you corrected that for volume at your sales contract reference conditions... or to density, if you were measuring by weight.

Pressure compensation is via the liquid's bulk modulus property and temperature is via its thermal expansion coefficient, if its a liquid you're measuring.  Gases can be compensated using an appropriate equation of state.  

This explains some of the basics of measurement and gives you a few NIST links that should help you out.
http://ts.nist.gov/WeightsAndMeasures/upload/B-015.pdf
 

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RE: Turbine Meter Algorithm

(OP)
Thanks BigInch.
I think I found the correct formula for Density Correction with both temp and pressure. I just hope this is what API MPMS uses.

p1=[p0/1+B(t1-t0)]/[1-(P1-P0)/E]

p = density
P = pressure
B = beta = volume temperature coefficient
t = temperature
E = Bulk Modulus

For Gasoline B = 0.001 m3/m3*C and E = 1.30E09 Pa
For Ethanol B = 0.0011 and E = 1.06E09  

RE: Turbine Meter Algorithm

Note that if the temperature and pressure conditions are such that you correct for both for the liquid, the turbine meter, as a velocity meter, probably also requires a correction for the meter factor at operating conditions compared to calibration conditions; both temperature and pressure can affect the geometry i.e. cross sectional area, higher values of both giving a larger cross section which for the same fluid velocity, is equivalent to a higher volumetric flow.
 

JMW
www.ViscoAnalyser.com

 

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