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Modelling the dependence of the internal diffusion coefficient and hydrodynamic resistance on the structures and shapes of polymer membrane pores
Heat and Mass Transfer ( IF 2.2 ) Pub Date : 2021-07-08 , DOI: 10.1007/s00231-021-03103-z
Marat Satayev 1 , Abdugani Azimov 1 , Sherkhan Yergalyuly 1 , Omirbek Baiysbay 2 , Nina Alekseyeva 2 , Saule Khamzayeva 3
Affiliation  

Based on the established mechanism of membrane separation kinetics, it was determined that the intensity of movement of macromolecular terminal fragments that make up the membrane can be estimated in a matrix by using the coefficients of internal diffusion of monomers in the free volume of the matrix. An expression was developed for the porosity of the membrane by considering the specific porosity per unit and one terminal fragment of macromolecules. An equation was obtained for calculating the free volume of a diffusion medium in a membrane matrix built of macromolecules with free ends and partially “stitched” ends. Using the provisions of mass transfer theory, an equation was obtained for calculating the coefficient of internal diffusion in a membrane matrix with free end fragments. Based on an analysis of the regularities of membrane separation hydrodynamics, equations were proposed for calculating the relationship between the flow of the liquid filtering through the membrane and its geometric characteristics. An expression was obtained for calculating the resulting pressure drop across an asymmetric membrane by taking into account the sum of the pressure drops in the inner and outlet sections of the membrane pores and considering whether the pore has an asymmetric configuration, that is, narrowing on only one side of the membrane.



中文翻译:

模拟内部扩散系数和水动力阻力对聚合物膜孔结构和形状的依赖性

基于已建立的膜分离动力学机制,确定构成膜的大分子末端片段在基质中的运动强度可以通过使用单体在基质自由体积中的内扩散系数来估计。通过考虑每单位的特定孔隙率和大分子的一个末端片段,开发了膜孔隙率的表达式。获得了用于计算由具有自由末端和部分“缝合”末端的大分子构成的膜基质中的扩散介质的自由体积的方程。使用传质理论的规定,获得了用于计算具有自由端碎片的膜基质中的内扩散系数的方程。在分析膜分离流体动力学规律的基础上,提出了计算通过膜的液体流量与其几何特性之间关系的方程。通过考虑膜孔内段和出口段的压降之和,并考虑该孔是否具有非对称构型,即仅在膜的一侧。

更新日期:2021-07-09
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