MachineCalcs

Hydraulic Intensifier Ratio Calculator

Intensification ratio, outlet pressure and outlet flow of a piston-type pressure intensifier (booster) from the two piston diameters — i = (D1/D2)², P2 = P1·i, Q2 = Q1/i. Metric and imperial. Free, no signup.

Hydraulics 4 inputs 4 results

Calculator

Large piston on the low-pressure (inlet) side.
mm
Small piston (or rod) on the high-pressure (outlet) side.
mm
Supply pressure on the drive side.
bar
Flow into the drive side; 0 if you only need the pressure ratio.
L/min

Results

Default result
Edit inputs
Intensification ratio(i)
16
Pass

16.00:1 — pressure multiplies, flow divides.

(D1/D2)² — pressure multiplies, flow divides.

Also computed

Outlet pressure(P2)Caution1,120bar

Above the common 700 bar component class — verify ratings.

Outlet flow(Q2)0.625L/min

Drive piston force(F)54,980N

P1 × A1 — what the common rod carries (= P2 × A2 ideally).

Method notes 3 notes
  • Outlet exceeds the common 700 bar high-pressure tool class — every downstream fitting, hose and gauge must carry a verified rating for it.
  • Ideal reciprocating-booster relations: i = (D1/D2)², P2 = P1·i, Q2 = Q1/i. Seal friction and compressibility take a few percent off the real outlet pressure — the maker's curve governs.
  • Output flow is the time-average over strokes; single-acting boosters deliver it in pulses and pause to reciprocate. Downstream volume and leakage set the duty cycle.

A pressure intensifier is a force balance on a stepped piston: both faces carry the same rod force, so pressure scales inversely with area — ratio i = (D1/D2)², outlet pressure P2 = P1·i, and flow divides by the same factor, Q2 = Q1/i. A 100 mm drive piston over a 25 mm output piston is 16:1 — 70 bar and 10 L/min in, 1,120 bar and 0.625 L/min out, ideally. This calculator returns the ratio, outlet pressure and flow, the drive force, and flags outputs past the common 700 bar component class.

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How to use this calculator

  1. Fix the target pressure. What the clamp, press or test head actually needs at the work.
  2. Divide by the supply. Target ÷ supply = required ratio; the diameters follow as √ratio.
  3. Check the delivered flow. Inlet flow ÷ ratio — and the duty cycle, since reciprocating units pause to stroke back.
  4. Verify every downstream rating. Past 700 bar you are in the high-pressure tool class — fittings, hose, gauges and the cylinder itself need certified ratings.

How it works

An intensifier is a force balance on a stepped piston: both faces carry the same rod force, so the pressures scale inversely with the areas —

i = (D1/D2)² · P2 = P1·i · Q2 = Q1/i

Pressure multiplies, flow divides, power stays (ideally) constant. The drive side is ordinary circuit design — supply pressure from the hydraulic pressure calculator, pump sizing from the pump flow & HP calculator — and the high side pushes whatever the cylinder force calculator says that pressure is worth on the work piston.

Worked example

Verified against the live calculator

A 100 mm drive piston over a 25 mm output piston, fed 70 bar at 10 L/min:

i = (100/25)² = 16 · P2 = 70 × 16 = 1,120 bar · Q2 = 10/16 = 0.625 L/min · F = 55.0 kN

The rod between the pistons carries 55 kN either way you account it — 70 bar on the big face or 1,120 bar on the small one. Note the flag: 1,120 bar is past the common 700 bar tool class, so every fitting and hose on the high side needs a certified rating, not a standard catalog part.

Frequently asked questions

How do you calculate intensifier ratio?

Area ratio of the two pistons: i = A1/A2 = (D1/D2)². A 100 mm drive piston over a 25 mm output piston is (100/25)² = 16:1 — 70 bar in becomes 1,120 bar out, ideally. The rod connecting them carries the same force either way, which is the whole trick.

What happens to flow through an intensifier?

It divides by the same ratio pressure multiplies by — energy is conserved. The 16:1 example fed 10 L/min delivers 0.625 L/min at the high side. Intensifiers are for short, stiff jobs (clamping, pressing, testing), not for moving big volumes fast.

Why does my intensifier deliver less than the calculated pressure?

Seal friction on both pistons, reversing losses in reciprocating units, and oil compressibility at high pressure all bite — a few percent typically, more in worn units. The calculated P1·(D1/D2)² is the ceiling; the maker's performance curve is the number to design on.

Can the same geometry reduce pressure instead?

Yes — run it backward (drive the small piston) and the ratio inverts: pressure divides, flow multiplies. The calculator flags geometries with D2 > D1 as reducers. In practice dedicated pressure-reducing valves do that job; boosters earn their keep going up.

Method & assumptions

  • Ideal piston-area ratio — no seal friction, reversing loss or compressibility; the manufacturer's curve sets the real delivered pressure and flow.
  • Outlet flow is the stroke-average; single-acting reciprocating boosters deliver in pulses with a return pause, so duty cycle matters for anything beyond dead-end clamping.
  • The 700 bar note is an orientation to the common high-pressure tool class boundary, not a code limit — component ratings govern at every pressure.
  • Gas-over-oil and air-driven units follow the same area arithmetic on the drive medium’s pressure.
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