Concentration polarisation in tubular membranes - a numerical approach

被引:25
作者
Damak, K [1 ]
Ayadi, A
Zeghmati, B
Schmitz, P
机构
[1] Ecole Natl Ingn Sfax, Lab Rasdio Anal & Environm, Sfax 3038, Tunisia
[2] Ctr Etude Fondamentales, Grp Mecan Acoust & Instrumentat, F-66860 Perpignan, France
[3] Inst Mecan Fluides Toulouse, UMR 5502, F-31400 Toulouse, France
关键词
crossflow filtration; mass transfer; concentration polarisation; Sherwood number; modelling; finite difference method;
D O I
10.1016/j.desal.2004.05.002
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
A theoretical investigation of particle deposition onto a permeable surface of a tubular membrane is presented. The mass transport mechanisms are mathematically expressed using the two-dimensional convective diffusion equation. A numerical scheme is presented to solve the two-dimensional convective diffusion equation at the steady state for the case of nonuniform permeation velocity. This equation is solved numerically using a finite difference method. The numerical prediction of mass transfer in the mass boundary requires the use of a very dense grid. The concentration pro-files along the membrane surface and the mass boundary layer are predicted. The effect of the Reynolds number, the wall Reynolds number and the Schmidt number were investigated. Correlations for the concentration boundary layer thickness delta(c)/D = 2(z/D)(0.33) (ReSc)(-0.33) Re-w(-0.3) (1 - 0.4377 Sc-0.0018 Re-w-(0.1551)), and for the Sherwood number Sh = 1.230 [(D/z) ReSc](0.33) (1 + 0.010 Re-0.125 SC1.055 Re-w(1.132)) based on the predicted values of the solute concentration profiles, are proposed, in the operating condition ranges 300 < Re < 1000, 0.02 < Re-w < 0.3 and 600 < Sc < 3200.
引用
收藏
页码:139 / 153
页数:15
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