“…Because of very high permselectivity of facilitated transport membrane in comparison to conventional polymeric membranes on one hand and relatively very low energy consumption with respect to other conventional processes on the other hand, facilitated transport membranes have attracted the attention of many industries and researchers (Schultz et al, 1974;Saha et al, 1977;Niiya and Noble, 1985;Sengupta and Sirkar, 1986;Way et al, 1987;Way and Noble, 1989;Kreulen et al, 1993;flux without carrier or purely molecular diffusive. Many numerical and approximate solutions have been carried out in order to predict the facilitation factor for the transport of a single component facilitated transport in liquid membranes (Ward, 1970;Smith and Quinn, 1979;Kemena et al, 1983;Noble et al, 1986;Basaran et al, 1989;Guha et al, 1990;Dindi et al, 1992;Jemaa and Noble, 1992;Davis and Sandall, 1993;Teramoto, 1994Teramoto, , 1995Teramoto et al, 1996Teramoto et al, , 1997Al-Marzoughi et al, 2002;Morales-Cabrera et al, 2005).…”