A numerical treatment is presented for the pressure-driven ultrafiltration process of a solution flowing laminarly in a tube membrane module for variable permeation flux, high wall Reynolds numbers and incomplete solute rejection. Both the Navier-Stokes and diffusion equations are solved numerically in terms of finite differences using a boundary condition for the concentration on the membrane obtained from the balance of the rate of the solute arriving at the membrane and the sum of leakage and rate of back diffusion. Plots representing the membrane concentration, permeation velocity and fraction of solvent removed are provided.
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Korea Environm Corp, Korea Water Cluster, Dept Water Ind Promot, Water Convergence Res Team, Daegu 43008, South KoreaKorea Environm Corp, Korea Water Cluster, Dept Water Ind Promot, Water Convergence Res Team, Daegu 43008, South Korea
Choi, Changkyoo
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Lee, Chulmin
Park, No-Suk
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Gyeongsang Natl Univ, Dept Civil Engn, Jinju 52828, South Korea
Gyeongsang Natl Univ, Engn Res Inst, Jinju 52828, South KoreaKorea Environm Corp, Korea Water Cluster, Dept Water Ind Promot, Water Convergence Res Team, Daegu 43008, South Korea
Park, No-Suk
Kim, In S.
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Gwangju Inst Sci & Technol, Sch Earth Sci & Environm Engn, GDRC, Gwangju 61005, South KoreaKorea Environm Corp, Korea Water Cluster, Dept Water Ind Promot, Water Convergence Res Team, Daegu 43008, South Korea