Hydraulic Pumps Equations

2.000 Hydraulic Pump & Motor Equations:

POWER IN OR OUT: (T x ω)

FLOW IN:

FLOW OUT: AOut

AIn VIn

Shaft

VOut QOut

QIn pIn

Pump or Motor

ρIn

pOut ρOut

Important Flow Variables In Hydraulic Pumps and Motors

Quantity

Pumps TPump • ωPump

Power Input

PIn

Power Output

POut ∆pPump • QPump

Volume Flow Rate

Q

DPump • ωPump Or AIn • VIn DPump =Displacement of Pump

Power Equation

Mass Flow Rate

P

mi

Motors ∆pMotor • QMotor TMotor • ωMotor DMotor• ωMotor Or AOut • VOut DMotor =Displacement of Motor

ηm•PIn = POut; so

ηm•PIn = POut; so

ηm•TPump• ωPump = ∆pPump• QPump

ηm•∆pMotor•QMotor = TMotor • ωMotor

mIn = ρIn • AIn • VIn

mIn = ρIn • AIn • VIn

mOut = ρOut • AOut • VOut

mOut = ρOut • AOut • VOut

Power Equation:

PIn = POut + EStored + PLoss Note:

EStored ~ 0 For Steady State PLoss = PIn • ( 1 - ηm )