Modeling of the Effects of Pleat Packing Density and Cartridge Geometry on the Performance of Pleated Membrane Filters
Abstract
:1. Introduction
2. Mathematical Description
2.1. Fluid Transport
2.1.1. Nondimensionalization
2.1.2. Asymptotic Analysis for the Flow
2.1.3. Fluid Velocity and Streamfunction
2.2. Membrane Fouling
3. Results
4. Discussion and Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A. Derivation of k(r,z)
References
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Parameter | Description | Typical Value |
---|---|---|
L | Length of the pleats | 0.2–0.5 m |
Radius of the hollow region | 1–1.5 cm | |
Radius of the membrane area | 2–3 cm | |
Radius of the empty area | 3–4.5 cm | |
Support layer thickness | 1 mm | |
Membrane thickness | 300 m | |
Pressure drop | 10–100 K Pa | |
Average support layer permeability | m | |
Clean membrane permeability | m | |
K | Average of the support layer and clean membrane permeabilities | m |
Parameter | Formula | Typical Value |
---|---|---|
0.04–0.15 | ||
l | 0.1–1 | |
Pleated membrane porosity | 0.01–0.9 | |
1–100 | ||
0.4–5 | ||
Packing density factor | ||
Blocking strength | 0.25–10, | |
2 used here | ||
b | Ratio of initial pore size to particle size | 0.2–10, |
used here | ||
0.001–0.1, | ||
used here | ||
0.03–1.25 |
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Persaud, D.; Smirnov, M.; Fong, D.; Sanaei, P. Modeling of the Effects of Pleat Packing Density and Cartridge Geometry on the Performance of Pleated Membrane Filters. Fluids 2021, 6, 209. https://doi.org/10.3390/fluids6060209
Persaud D, Smirnov M, Fong D, Sanaei P. Modeling of the Effects of Pleat Packing Density and Cartridge Geometry on the Performance of Pleated Membrane Filters. Fluids. 2021; 6(6):209. https://doi.org/10.3390/fluids6060209
Chicago/Turabian StylePersaud, Dave, Mikhail Smirnov, Daniel Fong, and Pejman Sanaei. 2021. "Modeling of the Effects of Pleat Packing Density and Cartridge Geometry on the Performance of Pleated Membrane Filters" Fluids 6, no. 6: 209. https://doi.org/10.3390/fluids6060209