Pump Pressure for Fluid Mechanics: H, v, P0

[r.wazlib]

How large should be the pressure P, pumped by a pump to supply water with velocity v to a part of a building at the height H, where it is consumed. The liquid may be considered as incompressible and inviscid and the flow, as steady and irrotational. (Hint: take into account that the water inside the pump has zero velocity and that it is consumed at the atmospheric pressure P0).

 

[Bob S]

This sounds like homework. Even so, in order to solve the real problem, you need to know the dynamic pressure drop in the pipes themselves due to turbulence and Reynold's number. Here is an online calculator (needs Java installed):
http://www.pipeflowcalculations.com/pressuredrop/index.htm