An enteral pump system for delivering medical fluids unidirectionally includes a disposable fluid delivery set having a repeatable compression portion and an enteral feeding pump. The repeatable compression portion is helically coiled around a central axis to define a cylindrical shape. The compression portion is configured to pump a large volume of medical fluids per stroke. The compressing portion includes at least two adjacent tubing walls joined around the central axis for repeatable compression. The enteral feeding pump is configured to repeatedly and reliably compress the compression portion of the fluid delivery set along the central axis. In operation, the compression portion is repeatably compressed without distortion along the central axis by the enteral feeding pump to flow unidirectionally through the fluid delivery set.