Abstract: Filterable liquid media are continuously filtered by circulating same in a closed circulation loop, to and tangentially through a filtration module provided therealong which confines at least one filtration membrane, e.g., a microfiltration, ultrafiltration or reverse osmosis membrane, and which includes a permeate outlet, and by adjusting the flowrate but not the driving pressure of circulating liquid medium, notably by means of an apertured and perforated rotating disc, as to establish a non-steady periodic pseudophysiological flow thereof, at least over the working face surfaces of the at least one membrane.