| 干/湿纺制初生中空纤维膜数学模型的数值模拟 |
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| 引用本文： | 法德勒,许振良.干/湿纺制初生中空纤维膜数学模型的数值模拟[J].上海大学学报(英文版),2004,8(2):213-220. |
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| 作者姓名： | 法德勒 许振良 |
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| 作者单位： | ChemicalEngineeringResearchCenter,EastChinaUniversityofScienceandTechnology,Shanghai200237,P.R.China |
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| 基金项目： | 国家自然科学基金，国家重点基础研究发展计划(973计划) |
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| 摘 要： | In an effort to find the effect of mass transfer ,surface tesion and drag forces on the velocity distribution,the mathematical model of the velocity profile of a nascent hollow fiber during membrane formation in the air gap region was numerically simulated by using the Runge-Kutta method (fourth-order method).The effect of mass transfer on velocity distribution based on the complicated function(G(Ch^s))was presented and the dffects of a complicated function were studied in two cases:in the first case,G(Ch^s) was constant;in the second,G(Ch^s) was variable.The latter was done by varying with the concentration of solvent in a nascent hollow fiber through the air-gap region.One empirical equation was used to describe this change and the predected values had a better agreement with the experimental values.To verify the moedl hypotheses,hollow fiber membranes were spun from 20:80 polybenzimidazole/polyetherimide dopes with 25.6 wt％ solid in N,N-dimethylacetamide (DMAc) using water as the external and internal coagulants.Based on the experimental results of dry-jet wet-spinning process for the fabrication of hollow fiber membranes,it is found that the model calculated values were in a good agreement with the experimental values.
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| 关 键 词： | 初生中空纤维膜 数学模型 数值模拟 膜组织 密度分布 Runge-Kutta方法 湿纺制 干纺制 |
| 收稿时间： | 7 March 2003 |
Numerical simulation of a mathematical model for dry/wet-spun nasceni hollow fiber membrane |
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| Alsalhy Qusay Fadhel,Xu Zhen-liang.Numerical simulation of a mathematical model for dry/wet-spun nasceni hollow fiber membrane[J].Journal of Shanghai University(English Edition),2004,8(2):213-220. |
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| Authors: | Alsalhy Qusay Fadhel Xu Zhen-liang |
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| Institution: | Chemical Engineering Research Center, East China University of Science and Technology, Shanghai 200237, P. R. China |
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| Abstract: | In an effort to find the effect of mass transfer, surface tension and drag forces on the velocity distribution, the mathematical
model of the velocity profile of a nascent hollow fiber during membrane formation in the air gap region was numerically simulatec
by using the Runge-Kutta method (fourth-order method). The effect of mass transfer on velocity distribution based on the complicatec
function (G(C
h
s
)) was presented and the effects of a complicated function were studied in two cases: in the first case, (G(C
h
s
)) was constant; in the second, (G(C
h
s
)) was variable. The latter was done by varying with the concentration of solvent in a nascent hollow fiber through the air-gap
region. One empirical equation was used to describe this change and the predicted values had a better agreement with the experimental
values. To verify the model hypotheses, hollow fiber membranes were spun from 20:80 polybenzimi dazole/polyetherimide dopes
with 25.6 wt% solid in N, N-dimethylacetamide (DMAc) using water as the external and internal coagulants. Based on the experimental
results of dry-jet wet-spinning process for the fabrication of hollow fiber membranes, it is found tha the model calculated
values were in a good agreement with the experimental values.
Project supported by the National Natural Science Foundation of China (Grant No. 20076009), the Science Foundation of Shanghai
Priority Academic Disciplines, the Science Foundation of National Key Fundamental Research Development Plan (“973” plan, Grant
No. 2003CB615705) |
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| Keywords: | Nascent hollow fiber membrane membrane formation numerical simulation mathematical model |
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