Fluid mechanics · Hydraulics

Hydraulic power from pressure and flow rate

Power transferred to the fluid is Ph = Δp·Q.

Created v1.0

By Thibaut Grzelak, Mechanical Analysis Engineer

Hydraulics
01Calculation inputsPₕ = Δp · Q
Q, ΔpPₕ
Input identificationHydraulic power depends on Δp and flow rate Q.
%
02

Results

Required input power
—

Power before losses.

Estimated losses
—

Input minus hydraulic power.

Relation and numerical substitutionPh = Δp · Q ; Pentrée = Ph / η

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Steady operation. Incompressible fluid. Simplified overall efficiency.

01Formulas and symbols

Formulas used

PhΔp·QHydraulic power
PentréePh/ηRequired power
PpertesPentrée−PhLosses
02Assumptions and limits

Scope of validity

  • Steady operation.
  • Incompressible fluid.
  • Simplified overall efficiency.
03Validation example

Reference numerical case

  1. 100 bar, 20 L/min, η = 90%.
  2. Ph = 3.333 kW; Pinput = 3.704 kW.
04References

Technical references

  1. Incompressible-flow relation P = Δp·Q.
  2. BIPM, SI units.