| Mass transfer mathematical model for one-side plate steady-state ultrafiltration |
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| 引用本文： | 邱运仁 张启修. Mass transfer mathematical model for one-side plate steady-state ultrafiltration[J]. 中国有色金属学会会刊, 2005, 15(3): 686-690 |
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| 作者姓名： | 邱运仁 张启修 |
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| 作者单位： | [1]MetallurgicalSeparationScienceandTechnologyLaboratory,CentralSouthUniversity,Changsha410083,China [2]SchoolofChemistryandChemicalEngineering,CentralSouthUniversity,Changsha410083,China |
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| 摘 要： | 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 transfonaaed 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.
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| 关 键 词： | 交叉-流超过滤 数学模型 质量转换 极化浓缩 感光乳剂 |
Mass transfer mathematical model for one-side plate steady-state ultrafiltration |
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| QIU Yun-ren,ZHANG Qi-xiu. Mass transfer mathematical model for one-side plate steady-state ultrafiltration[J]. Transactions of Nonferrous Metals Society of China, 2005, 15(3): 686-690 |
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| Authors: | QIU Yun-ren ZHANG Qi-xiu |
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| 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. |
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| Keywords: | cross-flow ultrafiltration emulsion concentration polarization mass transfer mathematical model |
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