Verifying correct formula for pumping oil

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Mach3Maelstrom

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I have a motor-pump that's pumping oil through a plumbing system. I want to choose the correct electrical motor size for this application.

Which equation should I use to determine the size of the motor I should purchase (in horsepower)?:


I'm an electrical engineer, so I'm a bit rusty with what-mechanical-equation-should-apply-where.

I was advised the first equation by a mechanical engineer, but I keep getting the feeling that's an equation for pumping water, not oil (which is more viscous), since the equation doesn't use any variables regarding the fluid it's pumping.

Thanks!
 

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