KEVOS® MAKEOS · Hydraulics

Orifice and Restrictor Flow

How much liquid flows through this orifice at this pressure drop, or what drop does a flow cause?

Flow through a sharp-edged orifice, jet or restrictor from the discharge coefficient, diameter and pressure difference, or the pressure drop for a given flow.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
CalculatechoiceFind the flow for a pressure drop, or the drop for a flow.
Orifice diametermmSmallest diameter of the orifice.
Discharge coefficientDischarge coefficient (about 0.6–0.65 for sharp-edged orifices, up to about 0.95 for rounded nozzles); measured values are best.
Pressure dropbarPressure difference across the orifice (flow mode).
Flow (pressure-drop mode)L/minFlow through the orifice (pressure-drop mode).
Fluid densitykg/m³Density of the fluid at the working temperature (mineral hydraulic oil about 870 kg/m³, water about 998 kg/m³).

Method and formulas

  1. Q = Cd × A × √(2Δp ÷ ρ), with A = πd²/4, Δp in Pa.
  2. Δp = ρ ÷ 2 × (Q ÷ (Cd A))².
  3. Example: a 2 mm orifice at 50 bar passes 12.529 L/min of oil.

Limitations

  • Turbulent flow through a short orifice; at low Reynolds numbers (cold oil, tiny holes) Cd falls.
  • Cavitation at large pressure drops limits the flow.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Size a damping or flow-control orifice
  • Estimate leakage through a hole
  • Check pressure drop across a jet or nozzle

Who it is for

  • Hydraulic and process engineers
  • Maintenance engineers
  • Design engineers

What you get

  • Flow
  • Pressure drop
  • Jet velocity

Interpreting the result

  • Use a measured Cd for accurate flow control; small manufacturing changes alter Cd.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 3024–3027, 352–368. Topic reference; no source tables or recommended settings are reproduced.

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