When the first simulation is complete, select phx_simulator_02 and press Start.
The liquid that exits from the bottom of the source simulator appears at the top of the destination one.
You may repeat those steps to link a 3-rd simulator to the 2-nd one, and so on.
Note
If you notice a mismatch between the denisty of the liquid particles in the 2 simulators, make sure that the Preview tab → Detail Reduction parameter has the same value for both grids.