“…Separation of oxygen from the feed air starts on the outer surface of the membrane, and, as a consequence, oxygen is transported via oxygen vacancies through the membrane thickness under the driving force of oxygen chemical potential gradient. The oxygen flux through the hollow fiber membrane is affected not only by bulk transport of oxygen ions, but also by oxygen exchange processes on membrane surfaces [29], i.e., the coupling effects of bulk transport and surface exchange need to be considered. Thus, the total oxygen permeation depends on three processes: (1) oxygen exchange on the outer membrane surface (shell side), (2) bulk transport, and (3) oxygen exchange on the inner membrane surface (lumen side).…”