[BreakingBad20]

In a question about a centrifugal pump in a system I have:
@ 6000 RPM - Flow Rate = 40 m3/hr - Head Loss due to friction = 13m

I need to increase the RPM to 10500 RPM in order for the flow rate to meet operational standards of 70 m3/hr but I don't know how to start this? (Have headache from the part before this which isnt helping in the slightest )

I have plenty of data to provide if you need it in order to explain but if you know the right equation or resource to look up it would be very helpful!

[Enthalpy]

In a centrifugal pump, the zero-flow increases as the square of the rotation speed, the zero-pressure flow as the speed - PROVIDED THAT the inlet pressure increases the same, which isn't the case, so cavitation may stop the game.

Bearing losses behave differently depending on their origin...If they were "normal" hydrodynamic losses at the ball's lubricating oil (not grease) the troque would increase approximately as the square of the speed, multiplied again by the speed to give a power.