Hi,
Appears you are describing the pumping system with atmospheric pressure at source and destination and also with discharge pipe in vertical upward position. Pump head equal to 5 m means the pump has TDH of 5 m at given flowrate and depending on suction head value, friction loss,... the discharge head could be higher than 5 m.
Anyway, the pump can lift the liquid till the elevation corresponding to the TDH at shut off (no flow) and yes, when the liquid elevation in vertical discharge pipe would reach to that point the liquid will stop while the pump is still running...
Edited by fallah, 10 July 2013 - 11:25 PM.