The flow pump has an impeller, driven in a pump chamber and having a ring of blades spaced apart from one another in the circumferential direction on at least one end face and ending at the face end of the impeller and cooperate therewith to define blade chambers. In the pump chamber, at least one feed conduit in the form of a split ring cooperates with the ring of blades on the impeller, and at least one intake opening discharging into the feed conduit is embodied in a pump chamber wall that defines the pump chamber in the direction of the pivot axis of the impeller. In an initial region at the at least one intake opening and/or in the circumferential direction of the impeller, adjoining the impeller, the feed conduit extends radially farther inward than the blade chamber bottom of the impeller, and the transition between a radially inner blade chamber bottom of the blade chambers and the associated face end of the impeller has a chamfer or rounded corner.