TY - JOUR
T1 - Modeling and design optimization for pleated membrane filters
AU - Sun, Yixuan
AU - Sanaei, Pejman
AU - Kondic, Lou
AU - Cummings, Linda J.
N1 - Funding Information:
Y.S. thanks Thilo Simon for several helpful discussions, which led to the Appendix. All authors acknowledge financial support from the National Science Foundation under Grants No. NSF-DMS-1261596 and No. NSF-DMS-1615719. P.S. was supported in part by the NSF Research Training Group in Modeling and Simulation Grant No. RTG/DMS-1646339, a travel award, and an Institutional Support of Research and Creativity (ISRC) grant provided by New York Institute of Technology.
Publisher Copyright:
© 2020 American Physical Society. ©2020 American Physical Society.
PY - 2020/4
Y1 - 2020/4
N2 - Pleated membrane filters, which offer larger surface area to volume ratios than unpleated membrane filters, are used in a wide variety of applications. However, the performance of the pleated filter, as characterized by a flux-throughput plot, indicates that the equivalent unpleated filter provides better performance under the same pressure drop. Earlier work [Sanaei, Richardson, Witelski, and Cummings, J. Fluid Mech. 795, 36 (2016)JFLSA70022-112010.1017/jfm.2016.194] used a highly simplified membrane model to investigate how the pleating effect and membrane geometry affect this performance differential. In this work, we extend this line of investigation and use asymptotic methods to couple an outer problem for the flow within the pleated structure to an inner problem that accounts for the pore structure within the membrane. We use our model to formulate and address questions of optimal membrane design for a given filtration application.
AB - Pleated membrane filters, which offer larger surface area to volume ratios than unpleated membrane filters, are used in a wide variety of applications. However, the performance of the pleated filter, as characterized by a flux-throughput plot, indicates that the equivalent unpleated filter provides better performance under the same pressure drop. Earlier work [Sanaei, Richardson, Witelski, and Cummings, J. Fluid Mech. 795, 36 (2016)JFLSA70022-112010.1017/jfm.2016.194] used a highly simplified membrane model to investigate how the pleating effect and membrane geometry affect this performance differential. In this work, we extend this line of investigation and use asymptotic methods to couple an outer problem for the flow within the pleated structure to an inner problem that accounts for the pore structure within the membrane. We use our model to formulate and address questions of optimal membrane design for a given filtration application.
UR - http://www.scopus.com/inward/record.url?scp=85085982557&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85085982557&partnerID=8YFLogxK
U2 - 10.1103/PhysRevFluids.5.044306
DO - 10.1103/PhysRevFluids.5.044306
M3 - Article
AN - SCOPUS:85085982557
SN - 2469-990X
VL - 5
JO - Physical Review Fluids
JF - Physical Review Fluids
IS - 4
M1 - 044306
ER -