KEVOS® MAKEOS · Hydraulics

Cylinder Meter-Out Speed Control (Orifice, Intensification, Heat)

What meter-out orifice sets this cylinder to the speed I want under its load, how high does the rod-side pressure rise, and how much heat does the control make?

Meter-out flow control of a double-acting cylinder extending against a resisting or overrunning load: cap-side and annulus areas, cap-side flow for the speed against pump flow, rod-side (back) pressure from the force balance including intensification, the orifice diameter that passes the rod-side flow at that pressure drop (as the orifice flow tool), heat generated in the orifice and over the relief valve, and the rod-side pressure against its rating.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
BoremmCylinder bore.
Rod diametermmRod diameter.
Supply (relief) pressurebarPressure on the cap side (the relief setting holds it there with meter-out control).
Load (positive resists, negative overruns)kNLoad on the rod: positive when it resists extension, negative when it pulls the rod out.
Extend speed wantedm/sExtension speed wanted.
Pump flowL/minPump flow available.
Orifice discharge coefficientDischarge coefficient of the orifice or valve (about 0.6–0.7).
Oil densitykg/m³Oil density.
Rod-side pressure ratingbarPressure rating of the rod-side seals, cylinder and valve.

Method and formulas

  1. A₁ = π D² ÷ 4, A₂ = A₁ − π d² ÷ 4; Q₁ = A₁ v, Q₂ = A₂ v.
  2. Force balance p₁ A₁ = F + p₂ A₂, so p₂ = (p₁ A₁ − F) ÷ A₂ (an overrunning load raises it above p₁ A₁ ÷ A₂).
  3. Orifice area A₀ = Q₂ ÷ [C_d √(2 p₂ ÷ ρ)] with the tank at zero pressure (as the orifice flow tool).
  4. Heat = p₂ Q₂ (orifice) + p₁ (Q_p − Q₁) (relief).
  5. Example: 0.1 m/s against 15 kN needs a 1.7999 mm orifice; the rod side runs at 77.035 bar and the circuit makes 2.6667 kW of heat.

Limitations

  • Sharp-edged orifice, turbulent flow; a pressure-compensated flow control holds speed as the load changes.
  • Line and valve losses are not included.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Size a fixed orifice or set a flow control for a cylinder speed
  • Check rod-side pressure with a meter-out circuit
  • Estimate heat from speed control

Who it is for

  • Hydraulic engineers
  • Machine designers
  • Maintenance engineers

What you get

  • Areas, flows and pump check
  • Rod-side pressure and intensification
  • Orifice diameter and heat

Interpreting the result

  • Meter-out holds overrunning loads but intensifies rod-side pressure: check the rod seals when the load reverses.

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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Open the Cylinder Meter-Out Speed Control (Orifice, Intensification, Heat) calculator