Target flow meter usually installed after the pump.
As there should be no excessive pressure drop at the pump inlet (in front of the pump). Installed a flow meter will always increase the pressure drop. It may also increase the length of the pipe and increase the complexity of the pipe.
Moreover, the pipe in front of the pump is too short to meet the installation of the flow meter requirements.
If a longer pipe, it will cause resistance and easy to cause cavitation.
The straight pipe section behind the pump is long enough, easy to install, easy to observe, at the same time there is a certain distance from the installation of the pump, the inlet pipeline of the pump is short, and the outlet is more convenient for viewing and maintenance. That’s the main reason that the target flow meter usually installed after the pump.