论文标题
通过均衡过滤膜优化流动
Optimising the flow through a concertinaed filtration membrane
论文作者
论文摘要
膜过滤是一个至关重要的工业过程，其应用包括空气纯化和血液过滤。在本文中，我们研究了由倾斜的多孔膜和死端组成的均匀滤膜的最佳设计。我们通过数值和渐近方法的组合来研究滤膜的滤清器性能如何取决于膜的角度，位置，厚度和渗透性，后者在略微角度的膜的极限中。我们发现，对于固定角度和物理特性的膜，可以存在多个膜位置，从而最大程度地提高通量，以获得施加的压力差。更普遍地，我们表明，尽管最大通量可实现取决于膜的厚度和渗透性，但最佳的膜构型始终在两个设置之一中：在整个域中居中和对角线；或倾斜的域角。
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. We examine how the filter performance depends on the angle, position, thickness, and permeance of the membrane, through 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, 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 setups: centred and diagonal across the full domain; or angled and in the corner of the domain.
