Optimising the flow through a concertinaed filtration membrane
Optimising the flow through a concertinaed filtration membrane
复制标题
优化通过蛇腹形过滤膜的流量
DOI：
10.1017/jfm.2021.26
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发表时间：
2020
影响因子：
3.7
通讯作者：
I. Griffiths
中科院分区：
文献类型：
--
作者：
V. E. Pereira;M. Dalwadi;E. Ruiz;I. Griffiths
摘要膜过滤是一种重要的工业过程，其应用包括空气净化和血液过滤。本文研究了由角孔膜和盲端组成的手风琴式过滤膜的优化设计。过滤器的几何形状促使润滑缩放的流量，导致耦合（修改）雷诺方程系统。通过分析这个简化的系统，我们研究如何过滤器的性能取决于角度，位置，厚度和渗透的膜，使用数值和渐近的方法相结合，后者在一个稍微倾斜的膜的限制。我们发现，对于固定角度和物理性质的膜，可以存在多个膜位置，其使所施加的压差的通量最大化。更一般地说，这表明如何在润滑流耦合问题可以表现出非平凡的分叉最优。对于我们关注的特定应用，我们表明，虽然可实现的最大通量取决于膜的厚度和渗透性，但最佳膜配置始终是两种设置之一：在整个域中居中和对角;或有角度和在域的角落。
Abstract Membrane filtration is a vital industrial process, with applications including air purification and blood filtration. In this paper, we study the optimal design for a concertinaed filtration membrane composed of angled porous membranes and dead ends. The geometry of the filter motivates a lubrication scaling for the flow, leading to a system of coupled (modified) Reynolds equations. By analysing this reduced system, we examine how the filter performance depends on the angle, position, thickness and permeance of the membrane, using a combination of numerical and asymptotic approaches, the latter in the limit of a slightly angled membrane. We find that, for a membrane of fixed angle and physical properties, there can exist multiple membrane positions that maximise the flux for an applied pressure difference. More generally, this shows how coupled problems in lubrication flow can exhibit non-trivial bifurcating optima. For the particular application on which we focus, we show that, while the maximal flux achievable depends on the membrane thickness and permeance, the optimal membrane configuration is always in one of two set-ups: centred and diagonal across the full domain; or angled and in the corner of the domain.
影响因子：
2.7
作者：
Sun, Yixuan;Sanaei, Pejman;Cummings, Linda J.
通讯作者：
Cummings, Linda J.