Hydraulic, Pneumatic & Fluid Power Systems worked example

Accumulator Sizing with required discharge volume of 50 in³: a worked example

Here is what the math looks like when conditions slip. We hold every other input steady and drop required discharge volume to 50 in³, then walk the calculation through step by step. Calculate accumulator sizing for hydraulic, pneumatic & fluid power systems planning, quoting, troubleshooting, capacity review, or process improvement.

The inputs for this scenario

  • Required discharge volume (delta-V): 50 in³ (the input this scenario stresses; the baseline uses 100)
  • Number of accumulator pre-charge cycles per minute: 4 cycles (held at the documented default)
  • Gas-law / volume-to-charge conversion factor: 0.01 x (held at the documented default)
  • Adiabatic vs isothermal correction multiplier: 1 x (held at the documented default)

Working through the calculation

  • The calculation starts from the formula this tool documents: Accumulator Sizing = first factor × second factor × conversion factor × process multiplier.
  • Result works out to 1 units at these inputs, and this is the headline figure for the scenario.
  • Base product works out to 1 value at these inputs.
  • Multiplier works out to 1 x at these inputs.
  • Factor A x B works out to 200 value at these inputs.

How this compares with the baseline

  • Against the tool's baseline example, where required discharge volume sits at 100 in³ and the headline result is 2 units, this scenario comes in 50% below the baseline at 1 units.
  • The practical read: the gap between this scenario and the baseline is entirely attributable to required discharge volume, so recovering it is worth quantifying in dollars before considering equipment or staffing changes. It is a simplified product model, not a substitute for full P1V1=P2V2 isothermal or PV^n adiabatic sizing with real pre-charge, min, and max pressures and gas compressibility at high pressure.

Results at a glance

  • Result: 1 units (headline result)
  • Base product: 1 value
  • Multiplier: 1 x
  • Factor A x B: 200 value

Run it with your numbers

  • To rerun this with your own numbers, open the live Accumulator Sizing calculator, set required discharge volume to your actual value, and adjust the remaining inputs to match your operation.

Last reviewed 2026-05-12.