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Hydraulic Accumulator Sizing Calculator

Estimate gas accumulator nominal volume for a required fluid delivery between minimum and maximum pressure.

Hydraulic Accumulator Sizing Calculator

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Calculation preview
Minimum pressure: 100 bar · Gas 20.1 L; Maximum pressure: 200 bar · Gas 10.1 L; Delivered oil: 10 L100 bar200 bar
Minimum pressure
100 bar · Gas 20.1 L
Maximum pressure
200 bar · Gas 10.1 L
Delivered oil
10 L

Oil · Gas

Schematic · not to scale

Example inputs are illustrative; review the formula and limits below before using the result.

STEP BY STEP

How to use hydraulic accumulator sizing calculator

  1. Check the input units and assumptions.
  2. Review the result and example.

IN PRACTICE

Example

ΔV = 10 L; P0 = 90 bar(g); Pmin = 100 bar(g); Pmax = 200 bar(g); Pambient = 1 bar(a); n = 1 → V0 = 22.31 L.

GOOD TO KNOW

Why add ambient pressure?

The gas law uses absolute pressure. Applying it directly to gauge values gives an incorrect volume, especially at low pressure.

Formula and worked example

Pabs = Pgauge + Pambient; V0 = ΔV/[(P0/Pmin)^(1/n) − (P0/Pmax)^(1/n)].

ΔV = 10 L; P0 = 90 bar(g); Pmin = 100 bar(g); Pmax = 200 bar(g); Pambient = 1 bar(a); n = 1 → V0 = 22.31 L.

How to interpret the result

The calculated nominal volume is the gas space at precharge, before hydraulic fluid enters. Delivered fluid is the difference between gas volumes at the minimum and maximum operating pressures.

The exponent represents the assumed thermal response: n = 1 is isothermal and n near 1.4 approximates rapid nitrogen compression. Actual charging and discharge may need different exponents and temperature corrections.

Frequently asked questions

Why add ambient pressure?

The gas law uses absolute pressure. Applying it directly to gauge values gives an incorrect volume, especially at low pressure.

What assumptions limit this calculation?

Ideal gas-volume estimate only; 1 ≤ n ≤ 1.4. Requires precharge below minimum pressure. Does not check bladder compression ratio, discharge rate, temperature correction, real gas behavior or vessel rating. Final selection requires manufacturer sizing.

How to Calculate Hydraulic Accumulator Sizing: Formula & Example

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Technical reference

Parker — accumulator sizing