Pumping oil to the shaft center from radial bores.
Shaft outside dia 70 mm, bore 20 mm, 4 radial bores 10 dia at 90 degrees spacing in the same plane.
I would like to feed oil to the shaft center from a stationary collar 70 mm ID with an circular inner cavity 16 wide 18 deep having an pressurized oil supply.
Shaft speed is 1500 rpm. The oil pressure sought at the center bore is 3 bar. How much pressure need to be applied at the collar to overcome the centrifugal action acting against the flow. Say the flow volume is 50 l/min, but I think that is irrelevant.
Thanks in advance.