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Hydraulic Pump Flow Rate Calculation

A hydraulic pump's flow rate depends on its displacement (volume per revolution) and its speed. Volumetric efficiency brings the actual flow slightly below the theoretical value.

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Flow Formula

Theoretical flow

Q = Vg × n / 1000

Vg: displacement (cc/rev), n: speed (rpm), Q: L/min

Actual flow

Qactual = Q × ηv

ηv: volumetric efficiency (typically 0.90–0.97)

Units

QuantitySymbolUnit
DisplacementVgcc/rev
Speednrpm
FlowQL/min
Volumetric efficiencyηv– (0.90–0.97)

Worked Example

Given: Displacement Vg = 32 cc/rev, speed n = 1450 rpm, volumetric efficiency ηv = 0.95.

1) Theoretical flow: Q = 32 × 1450 / 1000 = 46.4 L/min

2) Actual flow: Q = 46.4 × 0.95 = 44.1 L/min

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Frequently Asked Questions

What is pump displacement?

Displacement (Vg) is the oil volume the pump delivers per full revolution (cc/rev). It is the primary driver of flow.

Why does volumetric efficiency matter?

Internal leakage makes actual flow lower than theoretical. Volumetric efficiency (0.90–0.97) accounts for this difference.

How does speed affect flow?

Flow is directly proportional to speed: doubling the rpm roughly doubles the flow.