Selective Properties of High Flux Cellulose Acetate Membranes toward Ions Found in Natural Waters

Modeling of a radial flow hollow fiber module and estimation of model parameters for aqueous multi-component mixture using numerical techniques

“…The membrane parameters for the binary system, such as the reflection coefficient and the solute permeability for phenol and NaCl are taken from Senthilmurugan and Gupta [35] and are also given in Table 1. The solute-solute interaction parameter, B [1,2] , for this ternary system is varied from 4 × 10 −11 to 8 × 10 −11 m 4 kg −1 s −1 .…”

“…Fig. 2 shows the behaviour of the recovery and observed rejections of both phenol and NaCl with respect to B [1,2] for different feed pressures. As the feed pressure increases, the observed rejection of NaCl decreases, while the observed rejection of phenol increases and at the same times the recovery increases.…”

“…Tables 2 and 3 show the separation data for NaCl and water, and KBr and water binary systems. This data was analyzed by Senthilmurugan and Gupta [35] and the solute permeabilities (P m [1] and P m [2] ) and reflection coefficients (σ [1] and σ [2] ) of both solutes were calculated by their parameter estimation algorithm. The solute permeability and the reflection coefficient for NaCl were found to be a linear function of the feed concentration as given below.…”

“…Tables 4 and 5 show the separation data for the NaCl and KBr ternary system for a fixed NaCl concentration of about 500 ppm and varying KBr concentrations from 0 to 1000 ppm. The present model has five membrane parameters (A, P m [1] , P m [2] , σ [1] and σ [2] ) and another solute-solute interaction parameter (B [1,2] ). The pure water hydrodynamic permeability (A) was estimated from pure water permeability data.…”

“…The pure water hydrodynamic permeability (A) was estimated from pure water permeability data. The remaining four membrane transport parameters, such as solute permeabilities of two compounds (P m [1] and P m [2] ) and reflection coefficients (σ [1] and σ [2] ) were estimated from binary separation data. Finally, the solute-solute interaction parameter (B [1,2] ) was determined by the parameter estimation technique outlined earlier.…”