“…The mechanism of mass transfer for DCMD, LGMD, SGMD, and TSGMD is the same, due to direct contact of fluids with membrane at feed and permeate sides of MD module (Essalhi and Khayet, 2014), except for VMD, and AGMD and VA-AGMD, where vacuum and empty air gap exist at permeate side, respectively. The Knudsen, Molecular, and combined mechanisms for DCMD, LGMD, SGMD, and TSGMD, assuming that viscous flow is negligible, are expressed in Equations (36,37,38), respectively (Lagana et al, 2000;Ding et al, 2002;Srisurichan et al, 2006;Andrjesdóttir et al, 2013;Bouchrit et al, 2015;Shirazi et al, 2016;Ullah et al, 2018). The mass transfer mechanisms for VMD assumes that molecular diffusion is negligible and is described in Equations (39-41) ( Table 5).…”