The mathematical model of concentration polarization coefficient in membrane transport and volume flows.
The mathematical model of concentration polarization coefficient in membrane transport and volume flows.
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DOI：
10.1007/s10867-016-9432-5
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发表时间：
2017-03
影响因子：
1.8
通讯作者：
Ślęzak A
中科院分区：
文献类型：
--
作者：
Bryll A;Ślęzak A
本文研究了非电解质水溶液在水平安装的单膜系统中的膜传输。研究的目的是分析体积流动对浓度边界层形成过程的影响。提供了一个数学模型来计算浓度极化系数（ζ s）对不同值的体积通量（vm）、渗透力（Δπ）和静水力（ΔP）的依赖关系。计算了J vm > 0和J vm≈0的性质ζ s = f（J vm）和性质ζ s = f（ΔC 1）。此外，研究了在J vm = 0和J vm≠0时ΔP和Δπ对系数ζ s值同时影响的结果，并给出了研究中得到的依赖关系的图形表示。此外，还研究了ζ s系数与浓度瑞利数（R C）之间的数学关系，并给出了相关的图形表示。在实验测试中，使用葡萄糖和乙醇的水溶液。
In this paper, the authors investigate the membrane transport of aqueous non-electrolyte solutions in a single-membrane system with the membrane mounted horizontally. The purpose of the research is to analyze the influence of volume flows on the process of forming concentration boundary layers (CBLs). A mathematical model is provided to calculate dependences of a concentration polarization coefficient (ζ s) on a volume flux (J vm), an osmotic force (Δπ) and a hydrostatic force (ΔP) of different values. Property ζ s = f(J vm) for J vm > 0 and for J vm ≈ 0 and property ζ s = f(ΔC 1) are calculated. Moreover, results of a simultaneous influence of ΔP and Δπ on a value of coefficient ζ s when J vm = 0 and J vm ≠ 0 are investigated and a graphical representation of the dependences obtained in the research is provided. Also, mathematical relationships between the coefficient ζ s and a concentration Rayleigh number (R C) were studied providing a relevant graphical representation. In an experimental test, aqueous solutions of glucose and ethanol were used.