Assume no hose volume.
First, let us calculate the compression ratio at 100 psi and 20 psi. We will need this information later.
100/14.7 + 1 = 7.8 : 1 (C. R.) at 100 psi
20/14.7 + 1 = 2.36 : 1 ( C.R.) at 20 psi
Next, calculate the effective rod in area:
cap end area – rod area = 3.14 – 0.7854 = 2.356 in² (EREA)
Now the rod end volume: 2.356 in² x 10 in = 23.56 in³ / cycle
Find CIM: 23.56 in³ x 15 cycle / minute = 353.4 CIM
Find CFM: 353.4 / 1728 (cu. in. per cu. ft.) = .20 CFM
To convert CFM to SCFM, we must multiply CFM x C.R.:
0.20 x 7.8 = 1.56 scfm @ 100 psi
0.20 x 2.36 = .47 scfm @ 20 psi
Subtract the difference to see the savings in air consumption: 1.56 – 0.47 = 1.09 scfm saved
Find saving per year: 1.09 x 60 minute = 65.4 SCF per hour x 24 = 1569.9 SCF per day x 365 per year = 572,904 SCF / year
Given: $0.40 / 1000 SCF: 572,904 / 1000 x 0.40 = $229.16 savings per year
By Ernie Parker, AI, AJPP, AJPPCC, S, MT, MM, MIH, MIP, MMH, Fluid Power Instructor, Hennepin Technical College, EParker@Hennepintech.edu