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Frequently pneumatic cylinders of international, ISO, origin have the bore and stroke listed in Millimeters, mm, instead of inches as had been the North American standard.
The majority of compressed air information in North America that relates to flow rates and usage is given in SCF (Standard Cubic Feet) or SCFM (Standard Cubic Feet per Minute). The compressed air pressure is most frequently listed in PSIG (Pounds per Square Inch, Gage)
This presents a challenge when designing, sizing or evaluating the amount of compressed air required or used. It is laborious to convert each metric dimension to the English inch, psig and scfm system.
From Norgren Helpful Engineering Information, NC-77, formula we crunched the constants.
You may enter the bore and stroke of a cylinder in inches (Formula 1) or in millimeters (Formula 2) and get results in SCFM.
Another pair of formulas will aid calculating the volume and how much compressed air a cylinder may hold.
In the event your cylinder is listed in inches just use the original formula as follows:
PEAK FLOW
1. INCH Qscfm =.001857 x D2" x L"x (PSIG + 14.7)/ tsec
2. METRIC Q scfm = D2 mm x L mm x (PSIG + 14.7)/ (t sec. x 8823803.69)
VOLUME – SCF
1. INCH Qscf =.001857 x D2" x L"x (PSIG + 14.7)
2. METRIC Q scf = D2 mm x L mm x (PSIG + 14.7)/ 8823803.69
VOLUME PER CYCLE (Ignoring rod diameter)
1. INCH Qscf = 2 x [.001857 x D2" x L"x (PSIG + 14.7)]
2. METRIC Q scf = 2 x [ D2 mm x L mm x (PSIG + 14.7)/ 8823803.69
VOLUME PER CYCLE (Subtracting rod diameter)
1. INCH Qscf = .001857 x [(2 x D2") – d2] x L"x (PSIG + 14.7)]
2. METRIC Q scf = [(2 x D2 mm) -d^2 mm] x L mm x (PSIG + 14.7)/ 8823803.69
Now estimate the total number of each type of cylinder. Multiply by the number of cycles estimated per minute times the Volume per Cycle and add them all together for the total SCFM of compressed air per minute for cylinders.
From the formula for Volume Per Cycle take any cylinder result for "Q scf" and multiply by a reduced pressure. "Q scf" x [ 1 – [ (New PSIG + 14.7) / (Original PSIG + 14.7)]]
Example: 20 scfm x [1 – (104.7psia/114.7psia)] = 1.74 scfm. Approximately 9% of the air can be saved by reducing the pressure from 100 psig to 90 psig.
A recent figure of $.07 per Kilowatt Hour. One kilowatt hour = 1.341 Horse Power hour.
With a rule of thumb of 4 SCF per horse power x 1.341 x .07 = 5.36 scfm for $.07 electrical
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