Effect of recycled gas flows on the input [Fe/H] used in our model: Top row: fraction of net gas flow (panel a)) into 7 disk annuli of width 2 kpc as a function of time (panel a)), where negative values correspond to net inflows. Also shown are the fractions of gas migrating into each bin from inside (i.e., outward migrators, panel b)), from outside (i.e., inward migrators, panel c)), and gas which does not leave the bins (panel d)). Bottom row: mean metallicity estimated from the total gas mass (panel e)), the gas arriving from inside the given bin (panel f)), from outside the given bin (panel g)), and from the gas which stays in the bin (panel h)). The overlaid dashed curves in panels e)–g) show the non-migrating gas (same as panel h)). Strong deviations from the input chemistry is found for outward and inward flows (by more than 0.5 dex). However, the net effect is drastically reduced as seen in panel e), where in the range 4 <r< 12 kpc (purple to orange curves) the deviations from the input curves is less than 0.1 dex during most of the time evolution.