Voltage probe measurements are presented for the free recovery period of wall-stabilised arcs subjected to an axial flow of nitrogen. Results are reported for 15, 25 and 45 A arcs in a 2.5 mm radius stabilising bore and for 30 and 50 A arcs in a 5 mm radius bore with mass flow rates in the range 0-0.6 g s-1. The measurements show that the conductance decay rate increases with mass flow rate and that, although this increase is most pronounced in the flow entrainment region, a significant increase is also observed in the fully developed column region. The observed experimental trends are explained in terms of a boundary layer arc model which includes turbulent diffusion effects.