The Experts below are selected from a list of 315 Experts worldwide ranked by ideXlab platform

G Dorange - One of the best experts on this subject based on the ideXlab platform.

  • coupled model of Film Theory and the nernst planck equation in nanofiltration
    Desalination, 2007
    Co-Authors: T Chaabane, S Taha, Taleb M Ahmed, R Maachi, G Dorange
    Abstract:

    A mathematical model is proposed as a contribution to the modelling of the concentration polarization phenomenon occurring during increasing transmembrane pressure in membrane processes. The developed model is based on the extended Nernst–Planck equation (to describe the transport in membrane pores) and Film Theory equation (to describe the transfer mechanism in the polarization layer). It is characterized by two transfer parameters: solute permeability, Ps, and reflection coefficient, σ, and which allows the estimation of the thickness of the boundary layer, δ. Solute concentration at the membrane surface, Cm, and concentration profiles in the polarization layer are also estimated. The model is applied for the prediction of Ca(NO3)2, Cu(NO3)2 and Cd(NO3)2; ZnCl2 retention in nanofiltration and the influence of feed concentration on concentration polarization phenomenon were studied. The validation of the established models was obtained by the analysis of the experimental results resulting from treatment by nanofiltration of a synthetic solution with and without concentration polarization which determined the three principal parameters: reflexion coefficient σ; the solute membrane permeability, PS; and the layer polarization thickness, δ.

Wei Zhao - One of the best experts on this subject based on the ideXlab platform.

  • coupled model of extended nernst planck equation and Film Theory in nanofiltration for xylo oligosaccharide syrup
    Journal of Food Engineering, 2010
    Co-Authors: Hefei Zhao, Ruijin Yang, Wenbing Zhang, Wei Zhao
    Abstract:

    Abstract This work presents an observed retention ( R obs ) model for xylo-oligosaccharides (XOs) syrup in nanofiltration (NF) process. A commercial-purchased HDS-12-2540 NF membrane was operated in batch recycling model. The volume flux ( J v ), trans-membrane pressure (Δ P ), solute concentrations in feed solution ( C b ) and permeate solution ( C p ) were collected and the experimental R obs was obtained. On the basis of the extended Nernst–Planck equation and Film Theory, a theoretical R obs model was established. The model parameters including solute permeability ( P s ) and reflection coefficient ( σ ) for arabinose, xylose and xylobiose were estimated by curving fitting using genetic algorithm (GA) method. It was found that the reflection coefficient ( σ ) for arabinose (0.895) was higher than that for xylose (0.776), which indicated that the membrane retention to arabinose was stronger. Membrane structural parameters, such as ratio of solute radius to pore radius ( λ ) and ratio of effective membrane porosity to membrane thickness ( A k /Δ x ), were also estimated using steric-hindrance pore (SHP) model.

T Chaabane - One of the best experts on this subject based on the ideXlab platform.

  • coupled model of Film Theory and the nernst planck equation in nanofiltration
    Desalination, 2007
    Co-Authors: T Chaabane, S Taha, Taleb M Ahmed, R Maachi, G Dorange
    Abstract:

    A mathematical model is proposed as a contribution to the modelling of the concentration polarization phenomenon occurring during increasing transmembrane pressure in membrane processes. The developed model is based on the extended Nernst–Planck equation (to describe the transport in membrane pores) and Film Theory equation (to describe the transfer mechanism in the polarization layer). It is characterized by two transfer parameters: solute permeability, Ps, and reflection coefficient, σ, and which allows the estimation of the thickness of the boundary layer, δ. Solute concentration at the membrane surface, Cm, and concentration profiles in the polarization layer are also estimated. The model is applied for the prediction of Ca(NO3)2, Cu(NO3)2 and Cd(NO3)2; ZnCl2 retention in nanofiltration and the influence of feed concentration on concentration polarization phenomenon were studied. The validation of the established models was obtained by the analysis of the experimental results resulting from treatment by nanofiltration of a synthetic solution with and without concentration polarization which determined the three principal parameters: reflexion coefficient σ; the solute membrane permeability, PS; and the layer polarization thickness, δ.

Hefei Zhao - One of the best experts on this subject based on the ideXlab platform.

  • coupled model of extended nernst planck equation and Film Theory in nanofiltration for xylo oligosaccharide syrup
    Journal of Food Engineering, 2010
    Co-Authors: Hefei Zhao, Ruijin Yang, Wenbing Zhang, Wei Zhao
    Abstract:

    Abstract This work presents an observed retention ( R obs ) model for xylo-oligosaccharides (XOs) syrup in nanofiltration (NF) process. A commercial-purchased HDS-12-2540 NF membrane was operated in batch recycling model. The volume flux ( J v ), trans-membrane pressure (Δ P ), solute concentrations in feed solution ( C b ) and permeate solution ( C p ) were collected and the experimental R obs was obtained. On the basis of the extended Nernst–Planck equation and Film Theory, a theoretical R obs model was established. The model parameters including solute permeability ( P s ) and reflection coefficient ( σ ) for arabinose, xylose and xylobiose were estimated by curving fitting using genetic algorithm (GA) method. It was found that the reflection coefficient ( σ ) for arabinose (0.895) was higher than that for xylose (0.776), which indicated that the membrane retention to arabinose was stronger. Membrane structural parameters, such as ratio of solute radius to pore radius ( λ ) and ratio of effective membrane porosity to membrane thickness ( A k /Δ x ), were also estimated using steric-hindrance pore (SHP) model.

R Maachi - One of the best experts on this subject based on the ideXlab platform.

  • coupled model of Film Theory and the nernst planck equation in nanofiltration
    Desalination, 2007
    Co-Authors: T Chaabane, S Taha, Taleb M Ahmed, R Maachi, G Dorange
    Abstract:

    A mathematical model is proposed as a contribution to the modelling of the concentration polarization phenomenon occurring during increasing transmembrane pressure in membrane processes. The developed model is based on the extended Nernst–Planck equation (to describe the transport in membrane pores) and Film Theory equation (to describe the transfer mechanism in the polarization layer). It is characterized by two transfer parameters: solute permeability, Ps, and reflection coefficient, σ, and which allows the estimation of the thickness of the boundary layer, δ. Solute concentration at the membrane surface, Cm, and concentration profiles in the polarization layer are also estimated. The model is applied for the prediction of Ca(NO3)2, Cu(NO3)2 and Cd(NO3)2; ZnCl2 retention in nanofiltration and the influence of feed concentration on concentration polarization phenomenon were studied. The validation of the established models was obtained by the analysis of the experimental results resulting from treatment by nanofiltration of a synthetic solution with and without concentration polarization which determined the three principal parameters: reflexion coefficient σ; the solute membrane permeability, PS; and the layer polarization thickness, δ.