A plate heat exchanger for cooling a first fluid by a second fluid, including a plurality of stacked heat exchanger plates forming separate flow channels therebetween with a cover plate on one side and a base plate on the other side of the stacked plates. The plates have a plurality of aligned openings defining inlet and outlet channels each communicating with selected ones of connected flow channels. In one form, the cover plate includes a conveying channel guiding one of the fluids to a desired position along the length of the heat exchanger, and the base plate includes a conveying channel guiding the other of the fluids to a desired position along the length of the heat exchanger. In another form, the conveying channels for both of the fluids are in the same one of the cover or base plate.