MetalGuru:
I think this is an easy problem; however, I'm going to have to assume what you mean because your description can be interpreted at least two different ways. I'm assuming you are connecting the
suction side of a centrifugal pump to the outlet nozzle on a tank. This suction nozzle is located 10 meters below the normal operting tank liquid level.
The suction pressure the "eye" of the centrifugal pump sees is:
Suction pressure, absolute = tank vapor space pressure + 10 meter head of fluid above the pump - the fluid's vapor pressure (at the flowing temperature) - (the losses in the tank outlet, outlet nozzle, any fittings & valves and entrance to the pump impeller eye).
I don't understand what you mean by "forced", unless you mean that you don't have a gas blanket pressure on top of the liquid in the tank's vapor space. You calculate the discharge pressue according to the performance curve pertinent to that centrifugal pump (not just any pump) and the TDH (total developed discharge head) characteristic to your system.
I strongly recommend you visit the following site and spend some time going over all the relative features that address your specific questions and problems. All the answers are there:
I hope this has been of help.
Art Montemayor
Spring, TX