Hydrualic pressure to HP formula

[Ken Mayer]

On Wed, 11 Jun 1997, Dan wrote: 

> What's formula for converting hydraulic pressure into horspower?  For
> instance, at 24 Gallons/Min @ 2300 PSI, what's the equivalent
> horsepower?  

Pressure is force.  Power is work per unit time.  Work is a force moving
through a distance.  Pressure and power are not comparable terms.

You need to know the fluid density, the pressure differential across the
pump, the height to which the fluid is being pumped, and the fluid
velocities on the pump inlet and outlet.  With all that you can calculate
the total pump head and derive power. 

H=pressure head+velocity head+height difference
P=(Q)(gamma)(H)

pressure head=(p2-p1)/gamma
velocity head= (v2^2-v1^2)/(2g)
height difference=z2-z1

Kenneth Mayer, P.E.