# Hydraulic motor efficiency conundrum

Hello,

I'm trying to compare efficiency of different hydraulic motors by looking at unit of output per unit of input, viz:

$\frac{rpm × torque}{pressure × flow}$

I'm a bit flummoxed by one set of motor specs, for Eaton Duraforce motors, which is attached below.

these motors seem to have variable displacement, but operate at a constant pressure.

From the spec sheet, it looks like these motors operate at constant torque with a given pressure, irrespective of displacement (or rpm). that is, the spec sheet does not suggest that torque varies with respect rpm as I've seen on other spec sheets.

this leads me to the dubious proposition that the motor produces more power (rpm x torque) with constant pressure and lower flow.

For example, on the Duraflow 55, it says minimum displacement is 18.3 cm3 / rev.
and at minimum displacement rpm is 4700. So flow in lpm is (18.3 x 4700)/1000 = 86 lpm.

the chart also indicates that at "continuous pressure" of 250 bar (3625 psi) torque is constant at 218nm (161 ft pounds). It doesn't suggest that it is related to any particular displacement.

At maximum displacement, rpm decreases to 4100 rpm, and flow increase to (54.8 x 4700)/1000 = 258 lpm.

But if torque remains constant and RPM decreases, then power output decreases as well.

In other words decreased flow x constant pressure results in higher power output. So I'm clearly doing something wrong.

Perhaps I am misunderstanding what the top line of chart means?

Does "rated size displacemenet" measured in "cm3/rev" mean the amount of fluid required for each revolution of the motor? Or perhaps it means something else?

#### Attachments

• duraforce motor specs.png
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Baluncore
2021 Award
Frangelo said:
Does "rated size displacemenet" measured in "cm3/rev" mean the amount of fluid required for each revolution of the motor?
A specification of "cm3/rev" is probably a maximum possible value at one end of the control range. That specification is important because it dictates the maximum flow and therefore the size of the hoses needed.

Variable displacement motors continuously vary their displacement to control an output parameter. The system designer can usually select the type of control required. The control parameter is used to set the angle of the swash plate and therefore the displacement. The displacement at any time must be adjusted to that required to satisfy conservation of energy.

Efficiency will vary over different parameters. A variable displacement pump permits more efficient control of machine operation than is possible with fixed displacement motors. That is because pressure or volume does not have to be wasted to achieve regulation.

In this case that's not the issue. Note on the attached spec sheet they supply min and max displacement but they only supply a single value for torque at continuous pressure. If torque is the same with the smaller displacement has or the larger then something isn't adding up -- because torque is quoted at constant pressure,

Baluncore