Net vertical inflow rate, computed as Ṁ_net = Ṁ_in−Ṁ_out, as a function of cylindrical radius R (in units of R_d) for the nine simulations divided in cold (T < 10⁴ K, red line), warm (10⁴ < T < 5 × 10⁵ K, orange line) and hot (T > 5 × 10⁵ K, yellow line) gas. The dashed grey line is the SFR profile. The solid lines represent the profile averaged over the entire simulation and the shaded areas are the standard deviations. The rates are evaluated inside a slab over the plane of the disc with a width Δz = 0.1 kpc at a height |z₀| = 0.5 kpc. Each point represents the gas net inflow rate within a circular annulus with a radial width of 0.02 in R/R_d units and considering only gas cells with |v_z|> v_th = 30 km s⁻¹. In each panel we have indicated the average net vertical rate at R < 0.4 R_d, this is roughly the region of the disc where 90% of the SFR is concentrated in all nine simulations. The net inflows can extend beyond R_d supplying the outer disc with fresh gas for star formation.