The operation conditions have critical impacts on separation performance, especially for GO membranes. The effects of feed pressure and retentate flowrate on separation performance were investigated. Considering the rejection over 90%, the GO membrane with concentration of 25 μg/mL and the PDA-GO membrane with concentration of 15 μg/mL were chosen for comparison in following experiments. The permeance and rejection of two membranes with retentate flowrate of 30 L/h at various pressures were depicted in Figs. S6a and b (Supporting information). Both GO and PDA-GO membranes exhibited smaller permeance at higher feed pressures. The permeance of the GO and PDA-GO membranes decreased by 53.2% (from 15.8 L m
-2 h
-1 bar
-1 at 1.0 bar to 7.4 L m
-2 h
-1 bar
-1 at 7.0 bar) and 37.1%(from 6.2 L m
-2 h
-1 bar
-1 at 1.0 bar to 3.9 L m
-2 h
-1 bar
-1 at 7.0 bar), respectively. The reduction in permeance was interpreted by more compressed transport pathways under higher pressures [
32]. The rejection of the GO membrane reduced from 92.6% at 1.0 bar to 82.5% at 5.0 bar, while the PDA-GO membrane had stable rejection about 92% under various feed pressures. The decreased rejection of the GO membrane might be attributed to more serious concentration polarization. As pressure increased, the flux (L m
-2 h
-1), rather than permeance, through the membrane was larger. Thus the concentration polarization became more serious and then led to the degeneration in rejection. However, for the PDA-GO membrane, because PDA enhanced the compactness and diminished the defects, the rejection could be maintained at high level under different pressures. This suggested that the PDA deposition could significantly improve the stability of GO membranes under various feed pressures. Figs. S6c and d (Supporting information) displays the nanofiltration performance of two membranes at 2.0 bar and different retentate flowrates. The larger retentate flowrate means higher tangential velocity and shear force. The greater shear force is more likely to cause the peeling and redispersion of GO membranes in solutions. The rejection of both GO and PDA-GO membranes increased slightly as flowrate increased, originated from the alleviated concentration polarization [
33]. The permeance exhibited no obvious change. The weak electrostatic interaction and non-covalent bonds between GO layers and substrates may cause the falling of GO layers from substrates under cross-flow conditions [
11]. The high hydrophilicity and electronegativity of GO nanosheets bring about the risk of GO re-dispersion in wastewater as well [
12,
13]. The GO and PDA-GO membranes here exhibited small fluctuations in separation performance under various retentate flowrates. This was ascribed to that the oxygen/amino groups of the MCEM substrate could interact with the GO nanosheets through hydrogen bond and van der Waals force [
11], and the imprints of the membranes would also stick the GO layers to prevent them from falling off the substrates. It should be noted, the nanofiltration system was firstly operated for 8 h to reach stable running. For accomplishing the experiment about feed pressure or retentate flowrate, the membrane was further filtrated for another 30 h at least. When the pressure or retentate flowrate was returned to the original one, the permeance of two membranes became smaller due to the increased dye molecules on membrane surfaces after long-term operation. All above results confirmed that the prepared membranes had outstanding long-term stability, and could maintain the performance under various feed pressures and tangential velocities.