Hydraulics
Pump Displacement Calculation
Calculate the geometric displacement of a gear pump or axial piston pump from its physical dimensions.
Units:
The displacement determines how much oil is delivered per revolution. A gear pump is simple and robust — ideal for lower pressures up to 250 bar. An axial piston pump is quieter, more efficient and suitable for high pressures up to 400+ bar.
Gear: Vs = π × m × z × b × h [cm³] | Axial piston: Vs = z × π/4 × d² × 2r × tan(α) [cm³]
Input
Pump type iSelect the pump type to calculate displacement for.
Module m / Pistons z iGear pump: tooth module m in mm. Axial piston: number of pistons (typically 7 or 9).
Teeth z / Piston dia d iGear pump: number of teeth. Axial piston: piston diameter d in cm.
Face width b / Pitch radius r iGear pump: tooth face width b in cm. Axial piston: pitch circle radius r of pistons in cm.
cm
Tooth depth h / Swash angle α iGear pump: tooth depth h in cm. Axial piston: swash plate angle α in degrees (typically 10–18°).
Result
Geometric displacement Vs [cm³/rev]
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Flow at 1000 rpm (η=90%) [l/min]
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Flow at 1450 rpm (η=90%) [l/min]
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Flow at 1500 rpm (η=90%) [l/min]
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