A pneumatic cylinder's air consumption depends on the piston volume, the working pressure (compression ratio) and the cycle rate. The result is given in normal (free) litres.
⚙ Open the Hydraulic Calculator →P: working pressure (bar, gauge)
A: piston area, s: stroke, n: cycles/min → free air (Nl/min)
| Quantity | Symbol | Unit |
|---|---|---|
| Bore | D | mm |
| Stroke | s | mm |
| Pressure | P | bar (gauge) |
| Cycles | n | 1/min |
| Flow | Q | Nl/min |
Given: Bore D = 50 mm, stroke s = 200 mm, pressure P = 6 bar, cycles n = 30 /min.
1) Piston area: A = π × 50² / 4 = 1963 mm² = 19.63 cm²
2) Compression ratio: r = (6 + 1.013) / 1.013 = 6.92
3) Free air per stroke: 19.63 × 20 × 6.92 / 1000 = 2.72 Nl
4) Flow (extend+retract × cycles): 2 × 2.72 × 30 = ≈ 163 Nl/min
Normal litres; the volume of air at atmospheric pressure (1.013 bar). Compressor capacity is compared in the same unit.
How many times the air at working pressure is compressed relative to atmosphere: r = (P+1.013)/1.013. For 6 bar it is ≈ 6.9.
In practical calculations it is usually ignored; for precise work the rod cross-section is subtracted on the retract stroke.