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Accumulator Sizing (Isothermal)

Gas-charged accumulator volume from usable oil volume and pressure band using the isothermal (n = 1) Boyle's law.

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Formula, assumptions, and limits

V0=ΔVP0P1P0P2V_0 = \frac{\Delta V}{\frac{P_0}{P_1} - \frac{P_0}{P_2}}
SymbolMeaningUnit
V0V_0Gas-side accumulator sizeL
ΔVΔVUsable oil volume over the pressure bandL
P0P_0Nitrogen pre-charge pressurebar
P1P_1Min working (accumulator empty)bar
P2P_2Max working (fully charged)bar

Source: ISO 4413 - Hydraulic fluid power systems

In short

Gas-charged accumulator volume from usable oil volume and pressure band using the isothermal (n = 1) Boyle's law.

Learn the theory Marine Auxiliary Engines and Generators