Pump Discharge Pressure at shutoff =
Assuming it is a differential shutoff head.
182ft*62.4pcf/(144in2/ft2) = 78.8 psi (cold water)
Assuming the suction pressure is 0 psig,
and the cut sheet's 97.5 is psiA, then we have to add atmospheric pressure 14.7 psiA
I get pump's discharge pressure at shutoff of
93.5 psiA (with 0 psiG) suction pressure. That's not 97.5, but not too far off either. And that's with zero psig suction pressure.
Isobutane's vapor pressure at 80F is 40 psig and you have 56, which I assume is psig, so the butane should be liquid, if you haven't raised the temperature from sphere to pump.
TDH of 172 ft is 74.5 psi water * 0.56 SG = 41.7 psi Butane
With a suction pressure of 56 psig, plus 41.7 psi TDH = 97.7 psig. Your discharge pressure is 102 psig. Only a difference of 5 psig, say 5% error. If you've raised the temperature by only a few degrees before or inside the pump and raised the vp, or have any error in the pressure gage readings, it could be less than 5% error. I'd say that's not too bad for the first try matching calculations to real world data.
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"Pumping accounts for 20% of the world’s energy used by electric motors and 25-50% of the total electrical energy usage in certain industrial facilities."-DOE statistic (Note: Make that
99% for pipeline companies)