Journal
JOURNAL OF FLUID MECHANICS
Volume 818, Issue -, Pages 744-771Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2017.102
Keywords
low-Reynolds-number flows; porous media; suspensions
Categories
Funding
- NSF [DMS-1261596, DMS-1615719]
- Pall Corporation
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1615719] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1261596] Funding Source: National Science Foundation
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Membrane filters are used extensively in microfiltration applications. The type of membrane used can vary widely depending on the particular application, but broadly speaking the requirements are to achieve fine control of separation, with low power consumption. The solution to this challenge might seem obvious: select the membrane with the largest pore size and void fraction consistent with the separation requirements. However, membrane fouling (an inevitable consequence of successful filtration) is a complicated process, which depends on many parameters other than membrane-pore size and void fraction; and which itself greatly affects the filtration process and membrane functionality. In this work we formulate mathematical models that can (i) account for the membrane internal morphology (internal structure, pore size and shape, etc.); (ii) describe fouling of membranes with specific morphology; and (iii) make some predictions as to what type of membrane morphology might offer optimum filtration performance.
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