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Title: Flow and transport in a pleated filter
A pleated membrane filter consists of a porous membrane layer, which is surrounded by two supporting layers, and the whole structure is pleated and placed into a cylindrical cartridge. Pleated membrane filters are used in a variety of industrial applications, since they offer more surface area to volume ratio that is not found in equivalent flat filters. In this work, we introduce a novel three-dimensional model of a pleated membrane filter that consists of an empty region, a pleated region, and a hollow region. The advection diffusion equation is used to model contaminant concentration in the membrane pores along with Darcy's law to model the flow within the membrane and support layers, while the Stokes equation is used for the flow in the empty region and the hollow region. We further use the key assumptions of our model based on small aspect ratios of the filter cartridge and the pleated membrane to simplify the governing equations, which can be easily solved by numerical methods. By performing these steps, we seek to discover an optimal pleat packing density to find the optimum filter performance, while not exceeding a threshold for the particle concentration at the filter outlet.  more » « less
Award ID(s):
2108161
PAR ID:
10354655
Author(s) / Creator(s):
;
Date Published:
Journal Name:
Physics of Fluids
Volume:
34
Issue:
9
ISSN:
1070-6631
Page Range / eLocation ID:
097102
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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