Same as Fig. 9, but for V_rad left as a free parameter. The fitted radial V_rad profile is shown in the fifth panel, where we define V_rad such that negative (positive) values imply inflow (outflow). In the bottom panel, we show the radial inflow rate that results from multiplying V_rad(r) by the radial mass distribution dM_MN(r)/dr of the SMBH + Miyamoto-Nagai disc model (dashed red curve in the top panel, which was fitted to the rotation curve for V_rad = 0, see Sect. 4.5.1).