transport. Moreover, the calculated valve of a as shown in Eq. (1) is
0.1263 which indicates that diffusion controls the transport.
Therefore, a mathematical model based on a diffusion flux model
was developed as demonstrated in Eq. (35). The amoxicillin
concentration profile through HFSLM is shown in Fig. 13. The mass
transfer reaction of amoxicillin through hollow fiber supported
liquid membrane was assessed by diffusion flux modeling, as
represented in Fig. 14. Eq. (35) was used to calculate the
percentage of amoxicillin extraction as a function of time for
carrier concentrations at 2, 4, 6, 8 and 10 mmol/L. The computational
results were shown by the solid line which was in good
agreement and fitted well with the experimental data. The
diffusion process is explained by Fick’s law of diffusion. Mass
transfer flux was presented in this model. Therefore, it can be
concluded that the diffusion flux model was satisfactory for the
extraction of amoxicillin through hollow fiber supported liquid
membrane.