I have sort of debate going with my colleagues wherein we have a brown field application in which water has to be pumped from a feed tank to a tank at an elevation 600 meters. We have to use existing centrifugal pumps for this operation and would need three pumps in series to meet the required head.
Proposed scheme is as follows, the first pump P1 would be installed close to feed tank at the bottom, the second pump P2 will be installed at 200 m elevation. The discharge pipe coming from first pump will be connected to suction of second pump (no break). Similarly the third pump P3 will be installed at ~ 400 m elevation and discharge pipe coming from second pump will be connected to suction of third pump.
For a certain flow, pressure drop across each of the piping legs is say dp1, dp2, dp3.
In such a situation what will be the discharge pressure of first pump P1
Will it be just dp1 or dp1+dp2+dp3?
Thanks in advance.