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铁道科学与工程学报

JOURNAL OF RAILWAY SCIENCE AND ENGINEERING

Vol. 15    No. 3    June 2005

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Mass transfer mathematical model for one-side plate steady-state ultrafiltration
QIU Yun-ren(邱运仁)1,  ZHANG Qi-xiu(张启修)2

1. School of Chemistry and Chemical Engineering,  Central South University, 
Changsha 410083, China; 
2. Metallurgical Separation Science and Technology Laboratory, 
Central South University, Changsha 410083, China

Abstract:A mass transfer mathematical model was developed based on one-side plate steady-state ultrafiltration(UF), and the numerical solution was obtained by Crank­-Nicolson finite difference method. The effects of the feed concentration, channel length, axial velocity, and diffusion coefficient on the concentration at membrane surface and the concentration profiles were investigated. Furthermore, the operation parameters and the parameters of membrane module were all transformed into dimensionless ones, and the parameter rejection was included in the mass transfer model, therefore, it can be used to calculate the steady-state ultrafiltration with different rejections. The model was used for the calculation of the ultrafiltration of metal-cutting oil emulsion. The results show that the concentration polarization can be reduced by increasing the axial velocity to some extent, but the reduction of concentration polarization is very small when the resistance of ultrafiltration is very great.

 

Key words: cross-flow ultrafiltration; emulsion; concentration polarization; mass transfer; mathematical model

ISSN 1672-7029
CN 43-1423/U

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