The sizing of the pump can be obtained from the following specification.
2. The pressure being used.
3. Size electric motors. Or engine driving the pump.
Suppose to 200 bar maximum pressure cylinder size ID 100 mm. Speed of movement of the cylinder was 3 cm / sec.
A = 10 x 10 x 0.785 = 78.5 cm2.
V = 3 cm / sec.
Q = V x A = 3 cm / sec x 78.5 cm2 = 235.5 cm3 / sec = 14.13 L / min.
Rotate pump drive motor speed 1450 rpm. Therefore, pump size should be 9.7 cc / rev.

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This is great information, thank you. I have had a lot of luck with hydraulic pumps in my projects. I found that there are lots of hydraulic pump manufacturers
Extremely excellent information