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Hydraulic pump: capacity and efficiency

Is the pump worn if it only gives 34 l/min at 180 bar?

Answer: A gear or piston pump with fixed displacement gives theoretical displacement times revolutions. In a pump test you measure the actual flow at a certain pressure with a flow metre. The difference is internal leakage, and the ratio is the pump's volumetric efficiency. The calculator also gives the hydraulic power and the shaft power the pump needs, with the mechanical-hydraulic efficiency from the datasheet. Used for troubleshooting lifts, tips, cranes and tailgates, and when you choose a power take-off.

Formula

Teoretisk flow (l/min) = deplacement (cm³/omdr) × omdrejninger ÷ 1000

Volumetrisk virkningsgrad = målt flow ÷ teoretisk flow × 100

Hydraulisk effekt (kW) = tryk (bar) × flow (l/min) ÷ 600

Akseleffekt = hydraulisk effekt ÷ (η_vol × η_hm) = tryk × teoretisk flow ÷ 600 ÷ η_hm

Symbols and units in the formula
SymbolMeaningUnit
deplacementPump's displacement (datasheet)cm³/omdr
omdrPump's revolutions during the testo/min
flow_maaltMeasured flow at test pressure (flow meter)l/min
trykTest pressurebar
eta_hmMechanical-hydraulic efficiency (datasheet)%
=Volumetric efficiency%
=Theoretical flowl/min
=Hydraulic powerkW
=Required shaft powerkW

Validity and source

Source
Hydraulik: Q = V × n · P = p × Q ÷ 600 · η = η_vol × η_hm

Does not apply when

  • Measure flow at operating temperature and at the pressure the manufacturer prescribes for the test. Compare with the manufacturer's limit for worn pumps. Never work on a system under pressure, and lower the load before you open.

Worked example

The calculator's own default values inserted. The figures are calculated with exactly the formula the tool uses.

Substituted

  • Pump's displacement (datasheet)25 cm³/omdr
  • Pump's revolutions during the test1,500 o/min
  • Measured flow at test pressure (flow meter)34 l/min
  • Test pressure180 bar
  • Mechanical-hydraulic efficiency (datasheet)90 %

Giver

  • Volumetric efficiency90.7 %
  • Theoretical flow37.5 l/min
  • Hydraulic power10.2 kW
  • Required shaft power12.5 kW

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Sådan bruger du den

Når en lift, tip eller kran bliver langsom, laver du en pumpetest med flowmåler. Beregneren sammenligner det målte flow med pumpens teoretiske flow og viser den volumetriske virkningsgrad, den hydrauliske effekt og den akseleffekt pumpen kræver.

Step by step

  1. Find pumpens deplacement i databladet.
  2. Mål pumpens omdrejninger.
  3. Mål flowet ved prøvetrykket.
  4. Tast tryk og mekanisk-hydraulisk virkningsgrad, og læs resultaterne.

Typical errors

  • At måle flowet uden tryk på.
  • At måle på kold olie.
  • At bruge motorens omdrejninger uden kraftudtagets udveksling.

Examples from everyday life

Pumpetest på en tip

En 25 cm³-pumpe drejer 1.500 o/min og giver 34 l/min ved 180 bar.

Pump's displacement (datasheet)
25 cm³/omdr
Pump's revolutions during the test
1,500 rpm
Measured flow at test pressure (flow meter)
34 l/min
Test pressure
180 bar
Mechanical-hydraulic efficiency (datasheet)
90 %

It means: Det teoretiske flow er 37.5 l/min, og den volumetriske virkningsgrad 90.7 %. Pumpen yder 10.2 kW og kræver 12.5 kW.

Slidt pumpe

Samme pumpe giver nu kun 28 l/min ved 180 bar.

Pump's displacement (datasheet)
25 cm³/omdr
Pump's revolutions during the test
1,500 rpm
Measured flow at test pressure (flow meter)
28 l/min
Test pressure
180 bar
Mechanical-hydraulic efficiency (datasheet)
90 %

It means: Virkningsgraden er faldet til 74.7 %. Sammenlign med producentens grænse; er den under, skal pumpen skiftes.

Rule of thumb

Effekt i kW = bar × l/min ÷ 600.

How to check the answer

Målt flow skal være mindre end teoretisk.