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Flow through pore-size graded membrane pore network

Binan Gu1,*, Lou Kondic2,†, and Linda J. Cummings2,‡

  • 1Worcester Polytechnic Institute, Worcester, Massachusetts 01609, USA
  • 2New Jersey Institute of Technology, Newark, New Jersey 07102, USA

  • *Corresponding author: bgu@wpi.edu
  • †Corresponding author: kondic@njit.edu
  • ‡Corresponding author: linda.cummings@njit.edu
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Phys. Rev. Fluids 8, 044502 – Published 25 April, 2023

DOI: https://doi.org/10.1103/PhysRevFluids.8.044502

Abstract

Pore-size gradients are often used in the design of membrane filters to increase filter lifetime and ensure fuller use of the initial membrane pore volume. In this work, we impose pore-size gradients in the setting of a membrane filter with an internal network of interconnected tubelike pores. We model the flow and foulant transport through the filter using the Hagen-Poiseuille framework coupled with advection equations via conservation of fluid and particle flux, with adsorption as the sole fouling mechanism. We study the influence of pore-size gradient on performance measures such as total filtrate throughput and accumulated contaminant concentration at the membrane downstream pore outlets. Within the limitations of our modeling assumptions we find that there is an optimal pore-radius gradient that maximizes filter efficiency independent of maximum pore length (an input parameter that influences the structure of the pore network), and that filters with longer characteristic pore length perform better.

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References (47)

  1. R. D. Kuchenrither, L. Stone, and R. T. Haug, Omni-processor landscaping project, Tech. Rep. No. WERF6C11, Water Environment Research Foundation, Alexandria, VA, 2012.
  2. N. M. Chiera, S. Bolisetty, R. Eichler, R. Mezzenga, and P. Steinegger, Removal of radioactive cesium from contaminated water by whey protein amyloidscarbon hybrid filters, RSC Adv. 11, 32454 (2021).
  3. F. Lipnizki, Beer clarification, in Encyclopedia of Membranes, edited by E. Drioli and L. Giorno (Springer, Berlin, 2015), pp. 1–2.
  4. N. Dizge, D. Y. Koseoglu-Imer, A. Karagunduz, and B. Keskinler, Effects of cationic polyelectrolyte on filterability and fouling reduction of submerged membrane bioreactor (MBR), J. Membr. Sci. 377, 175 (2011).
  5. R. Barnaby, A. Liefeld, B. P. Jackson, T. H. Hampton, and B. A. Stanton, Effectiveness of table top water pitcher filters to remove arsenic from drinking water, Environ. Res. 158, 610 (2017).
  6. C. H. Yu, L.-M. Yiin, Z.-H. (Tina) Fan, and G. G. Rhoads, Evaluation of HEPA vacuum cleaning and dry steam cleaning in reducing levels of polycyclic aromatic hydrocarbons and house dust mite allergens in carpets, J. Environ. Monit. 11, 205 (2009).
  7. V. K. Vijayan, H. Paramesh, S. S. Salvi, and A. A. K. Dalal, Enhancing indoor air quality—The air filter advantage, Lung India 32, 473 (2015).
  8. J. L. Sublett, Effectiveness of air filters and air cleaners in allergic respiratory diseases: A review of the recent literature, Current Allergy and Asthma Reports 11, 395 (2011).
  9. G. Liu, M. Xiao, X. Zhang, C. Gal, X. Chen, L. Liu, S. Pan, J. Wu, L. Tang, and D. Clements-Croome, A review of air filtration technologies for sustainable and healthy building ventilation, Sustain. Cities Soc. 32, 375 (2017).
  10. N. H. Wong, P. L. Law, and S. H. Lai, Field tests on a grease trap effluent filter, Int. J. Environ. Sci. Technol. 4, 345 (2007).
  11. A. A. Izadpanah and A. Javidnia, The ability of a nanofiltration membrane to remove hardness and ions from diluted seawater, Water 4, 283 (2012).
  12. B. Van der Bruggen, Microfiltration, ultrafiltration, nanofiltration, reverse osmosis, and forward osmosis, in Fundamental Modelling of Membrane Systems, edited by P. Luis (Elsevier, Amsterdam, 2018), Chap. 2, pp. 25–70.
  13. K. P. Goswami and G. Pugazhenthi, Credibility of polymeric and ceramic membrane filtration in the removal of bacteria and virus from water: A review, J. Environ. Manage. 268, 110583 (2020).
  14. M. Kotobuki, Q. Gu, L. Zhang, and J. Wang, Ceramic-polymer composite membranes for water and wastewater treatment: Bridging the big gap between ceramics and polymers, Molecules 26, 3331 (2021).
  15. A. Ranjbarzadeh-Dibazar, J. Barzin, and P. Shokrollahi, Microstructure crystalline domains disorder critically controls formation of nano-porous/long fibrillar morphology of ePTFE membranes, Polymer 121, 75 (2017).
  16. T. Sano, Y. Koga, H. Ito, L. V. Duc, T. Hama, and Y. Kawagoshi, Effects of structural vulnerability of flat-sheet membranes on fouling development in continuous submerged membrane bioreactors, Bioresour. Technol. 304, 123015 (2020).
  17. R. Ma, B. Castro-Dominguez, A. G. Dixon, and Y. H. Ma, Scalability of multitube membrane modules for hydrogen separation: Technical considerations, issues, and solutions, J. Membr. Sci. 564, 887 (2018).
  18. A. Basile, F. Gallucci, and P. Morrone, Advanced carbon dioxide (CO2) gas separation membrane development for power plants, in Advanced Power Plant Materials, Design and Technology, Woodhead Publishing Series in Energy, edited by D. Roddy (Woodhead Publishing, Sawston, UK, 2010), pp. 143–186.
  19. A. Onur, A. Ng, W. Batchelor, and G. Garnier, Multi-layer filters: Adsorption and filtration mechanisms for improved separation, Front. Chem. 6, 417 (2018).
  20. B. Gu, L. Kondic, and L. J. Cummings, Network-based membrane filters: Influence of network and pore-size variability on filtration performance, J. Membr. Sci. 657, 120668 (2022).
  21. P. Apel, Track etching technique in membrane technology, Rad. Measure. 34, 559 (2001).
  22. T. C. A. Ng, Z. Lyu, Q. Gu, L. Zhang, W. J. Poh, Z. Zhang, J. Wang, and H. Y. Ng, Effect of gradient profile in ceramic membranes on filtration characteristics: Implications for membrane development, J. Membr. Sci. 595, 117576 (2020).
  23. R. Goei, Z. Dong, and T.-T. Lim, High-permeability pluronic-based TiO2 hybrid photocatalytic membrane with hierarchical porosity: Fabrication, characterizations and performances, Chem. Eng. J. 228, 1030 (2013).
  24. A. Amin, A. A. Merati, S. H. Bahrami, and R. Bagherzadeh, Effects of porosity gradient of multilayered electrospun nanofibre mats on air filtration efficiency, J. Text. Inst. 108, 1563 (2017).
  25. I. Capasso, B. Liguori, and L. Verdolotti, Process strategy to fabricate a hierarchical porosity gradient in diatomite-based foams by 3D printing, Sci. Rep. 10, 612 (2020).
  26. S. Guddati, A. S. K. Kiran, and M. Leavy, Recent advancements in additive manufacturing technologies for porous material applications, Int. J. Adv. Manuf. Technol. 105, 193 (2019).
  27. T. Dong, Y. Hua, X. Zhu, X. Huang, S. Chi, Y. Liu, C.-W. Lou, and J.-H. Lin, Highly efficient and sustainable PM filtration using Piezo nanofibrous membrane with gradient shrinking porous network, Separ. Purific. Technol. 289, 120753 (2022).
  28. B. A. Harley, A. Z. Hastings, I. V. Yannas, and A. Sannino, Fabricating tubular scaffolds with a radial pore-size gradient by a spinning technique, Biomaterials 27, 866 (2006).
  29. P. Kosiol, M. T. Müller, B. Schneider, B. Hansmann, V. Thom, and M. Ulbricht, Determination of pore-size gradients of virus filtration membranes using gold nanoparticles and their relation to fouling with protein containing feed streams, J. Membr. Sci. 548, 598 (2018).
  30. A. Di Luca, B. Ostrowska, I. Lorenzo-Moldero, A. Lepedda, W. Swieszkowski, C. Van Blitterswijk, and L. Moroni, Gradients in pore size enhance the osteogenic differentiation of human mesenchymal stromal cells in three-dimensional scaffolds, Sci. Rep. 6, 22898 (2016).
  31. G. Mannella, G. Conoscenti, F. Carfi Pavia, V. La Carrubba, and V. Brucato, Preparation of polymeric foams with a pore-size gradient via thermally induced phase separation (TIPS), Mater. Lett. 160, 31 (2015).
  32. J. M. Sobral, S. G. Caridade, R. A. Sousa, J. F. Mano, and R. L. Reis, Three-dimensional plotted scaffolds with controlled pore-size gradients: Effect of scaffold geometry on mechanical performance and cell seeding efficiency, Acta Biomater. 7, 1009 (2011).
  33. H. Oh, J. Park, K. Min, E. Lee, and J.-Y. Jyoung, Effects of pore-size gradient in the substrate of a gas diffusion layer on the performance of a proton exchange membrane fuel cell, Appl. Energy 149, 186 (2015).
  34. V. E. Pereira, M. P. Dalwadi, and I. M. Griffiths, Role of caking in optimizing the performance of a concertinaed ceramic filtration membrane, Phys. Rev. Fluids 6, 104301 (2021).
  35. I. Griffiths, A. Kumar, and P. Stewart, Designing asymmetric multilayered membrane filters with improved performance, J. Membr. Sci. 511, 108 (2016).
  36. Y. Sun, P. Sanaei, L. Kondic, and L. J. Cummings, Modeling and design optimization for pleated membrane filters, Phys. Rev. Fluids 5, 044306 (2020).
  37. P. Sanaei and L. J. Cummings, Membrane filtration with multiple fouling mechanisms, Phys. Rev. Fluids 4, 124301 (2019).
  38. D. Fong, L. J. Cummings, S. J. Chapman, and P. Sanaei, On the performance of multilayered membrane filters, J. Eng. Math. 127, 23 (2021).
  39. P. Sanaei and L. J. Cummings, Membrane filtration with complex branching pore morphology, Phys. Rev. Fluids 3, 094305 (2018).
  40. B. Gu, L. Kondic, and L. J. Cummings, A graphical representation of membrane filtration, SIAM J. Appl. Math. 82, 950 (2022).
  41. I. M. Griffiths, I. Mitevski, I. Vujkovac, M. R. Illingworth, and P. S. Stewart, The role of tortuosity in filtration efficiency: A general network model for filtration, J. Membr. Sci. 598, 117664 (2020).
  42. M. P. Dalwadi, I. M. Griffiths, and M. Bruna, Understanding how porosity gradients can make a better filter using homogenization theory, Proc. R. Soc. London A 471, 20150464 (2015).
  43. B. Bijeljic, M. G. Andrew, H. Dong, A. Q. Raeini, M. J. Blunt, P. Mostaghimi, Z. Alhashmi, and iRock Technologies, Micro-CT images and networks (2015), https://www.imperial.ac.uk/earth-science/research/research-groups/pore-scale-modelling/micro-ct-images-and-networks/.
  44. G. Sundaramoorthi, M. Hadwiger, M. Romdhane, A. Behzad, R. Madhavan, and S. Nunes, 3d membrane imaging and porosity visualization, Ind. Eng. Chem. Res. 55, 3689 (2016).
  45. B. Gu, D. R. Renaud, P. Sanaei, L. Kondic, and L. J. Cummings, On the influence of pore connectivity on performance of membrane filters, J. Fluid Mech. 902, A5 (2020).
  46. R. Probstein, Physicochemical Hydrodynamics (Wiley-Interscience, Hoboken, NJ, 1994).
  47. E. W. Weisstein, Hypercube line picking From MathWorld—A Wolfram Web Resource (2022), https://mathworld.wolfram.com/HypercubeLinePicking.html.

Outline

Information

Phys. Rev. Fluids 8, 044502– Published 25 April, 2023
  • Received 25 October 2022
  • Accepted 29 March 2023
Article part of CHORUS
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