Flow Rate Prediction for a Semi-permeable Membrane at Low Reynolds Number in a Circular Pipe
Flow Rate Prediction for a Semi-permeable Membrane at Low Reynolds Number in a Circular Pipe
复制标题
圆管中低雷诺数半透膜的流量预测
DOI：
10.1007/s11242-021-01716-w
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发表时间：
2021
影响因子：
2.7
通讯作者：
Kajishima Takeo
中科院分区：
文献类型：
--
作者：
Miyauchi Suguru;Yamada Shuji;Takeuchi Shintaro;Tazaki Asahi;Kajishima Takeo
在化工和生物领域中，膜透过率的预测需要一种简明、准确的方法。作为对这一课题的初步研究，我们提出了粘度和溶质扩散主导作用下的渗透通量和流速的浓差极化模型。在该模型中，溶液在圆管中通过半透膜(即对溶剂是可渗透的，但对溶质是不可渗透的)流动时考虑了浓差极化。通过将CPM与数值模拟结果以及膜渗透率、渗透压强度和Péclet数的无穷小Péclet数模型(IPM)进行比较，讨论了浓差极化对粘性占优势(即低雷诺数)的圆管内流场的影响。验证了CPM和IPM是对先前提出的纯流体模型的合理推广。IPM的适用范围较窄，因为没有考虑溶质浓度的平流，而CPM在渗透系数、渗透压强度和Péclet数等广泛的参数范围内表现出更好的适用性。这表明了考虑浓差极化的必要性。尽管CPM的数学表达式比IPM复杂，但在渗透通量和渗透压较大的情况下，CPM具有准确预测渗透率参数的潜力。
A concise and accurate prediction method is required for membrane permeability in chemical engineering and biological fields. As a preliminary study on this topic, we propose the concentration polarization model (CPM) of the permeate flux and flow rate under dominant effects of viscosity and solute diffusion. In this model, concentration polarization is incorporated for the solution flow through a semi-permeable membrane (i.e., permeable for solvent but not for solute) in a circular pipe. The effect of the concentration polarization on the flow field in a circular pipe under a viscous-dominant condition (i.e., at a low Reynolds number) is discussed by comparing the CPM with the numerical simulation results and infinitesimal Péclet number model (IPM) for the membrane permeability, strength of the osmotic pressure, and Péclet number. The CPM and IPM are confirmed to be a reasonable extension of the model for a pure fluid, which was proposed previously. The application range of the IPM is narrow because the advection of the solute concentration is not considered, whereas the CPM demonstrates superior applicability in a wide range of parameters, including the permeability coefficient, strength of the osmotic pressure, and Péclet number. This suggests the necessity for considering concentration polarization. Although the mathematical expression of the CPM is more complex than that of the IPM, the CPM exhibits a potential to accurately predict the permeability parameters for a condition in which a large permeate flux and osmotic pressure occur.
DOI：
--
发表时间：
1989
期刊：
影响因子：
--
作者：
G. B. V. D. Berg;I. Racz;C. A. Smolders
通讯作者：
C. A. Smolders
影响因子：
0.8
作者：
NAKAO, S;KIMURA, S
通讯作者：
KIMURA, S
影响因子：
1.8
作者：
Bryll A;Ślęzak A
通讯作者：
Ślęzak A