A model analyses the effect of secondary electron emission and gas recycling on open-ended fusion devices. Secondary emission is assumed to be limited by space-charge effects. It is also assumed that cold plasma is created by the ionization of gas recycled from the end wall. The axial power flow in the device was increased by these phenomena. This article shows that fairly simple techniques can control the enhancement of the power losses. The results of this model are in agreement with measurements made on the TMX experiment. Estimates made for the TMX Upgrade and MFTF-B indicate that these effects will not significantly enhance the axial power losses.