journal article·2026-07-27

Review: advancements in fibrous aerosol filtration across experimental analysis, numerical modeling, and fabrication technologies

Mirza Muhammad Zaid, Ashish Ranjan Kumar, Ashish Kakoria, Lina Zheng, Guang Xu

Publisher page

Abstract

The increasing incidence of aerosol-related pulmonary diseases has intensified the need for efficient fibrous filtration technologies capable of capturing ultrafine particles with low pressure drop. Although nonwoven fibrous filters are widely used in medical, industrial, and ventilation systems, their complex internal structures and multiscale transport mechanisms remain insufficiently understood. This review examines the theoretical foundations of aerosol filtration, including single-fiber capture mechanisms and the concept of the most penetrating particle size. In addition, electrostatic interactions, including charge generation, transport, and stability, are incorporated to extend conventional mechanical filtration frameworks. Particular attention is given to flow-particle interactions within fibrous media. We then discuss current approaches for constructing three-dimensional representations of filter structures and highlight how structural assumptions influence the reliability of numerical simulations. Computational fluid dynamics modeling, particle tracking, deposition modeling, and clogging simulations are critically evaluated, with emphasis on commonly adopted assumptions such as homogeneity and steady-state flow. Experimental methodologies for filtration testing are also reviewed, including aerosol generation, particle measurement, and pressure-drop characterization. Instrumentation limitations and measurement uncertainties are discussed. Finally, recent advances in fiber fabrication techniques, including electrospinning, meltblowing, bubble electrospinning, and supersonic solution blowing, are summarized. These fabrication approaches are further analyzed through a material-process-performance perspective, linking fiber morphology and charge behavior to filtration efficiency. The interplay between structural parameters, operating conditions, and aerosol characteristics is analyzed to clarify their combined influence on filtration performance. By identifying unresolved modeling limitations and discrepancies between theoretical predictions and real-world conditions, this review highlights key gaps in current understanding. It integrates filtration theory, electrostatic effects, and fabrication-induced material properties into a unified framework. This approach enables more predictive design of next-generation fibrous filters. Graphical abstract
Source: europepmc · Quality: candidate unverified · Source record ↗

Research context

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (100+)

Show source-provided references
1. Yang C (2012) Aerosol filtration application using fibrous media - an industrial perspective. Chin J Chem Eng 20(1):1–9. https://doi.org/10.1016/S1004-9541(12)60356-510.1016/S1004-9541(12)60356-5 ↗
2. Wang Q (2016) VCU scholars compass filter performance under simulated real-world conditions school of Engineering
3. Zaid MM, Xu G, Amoah NA (2023) Accuracy of low-cost particulate matter sensor in measuring coal mine dust-a wind tunnel evaluation,. Underground ventilation. CRC Press, pp 274–28410.1201/9781003429241-29 ↗
4. Zaid MM, Amoah N, Kakoria A, Wang Y, Xu G (2024) Advancing occupational health in mining: investigating low-cost sensors suitability for improved coal dust exposure monitoring. Meas Sci Technol. https://doi.org/10.1088/1361-6501/ad0c2e10.1088/1361-6501/ad0c2e ↗
5. Oglesby S (1990) Future directions of particuiate control technology: a perspective. J Air Waste Manage Assoc 40(8):1183–1185. https://doi.org/10.1080/10473289.1990.1046676410.1080/10473289.1990.10466764 ↗
6. Johnson JH, Bagley ST, Gratz LD, Leddy DG (1994) A review of diesel particulate control technology and emissions effects-1992 horning memorial award lecture. SAE Tech Pap 103(1994):210–244. https://doi.org/10.4271/94023310.4271/940233 ↗
7. Hinds WC (1999) Aerosol technology: properties, behavior, and measurement of airborne particles. John Wiley & Sons
8. Adamek D (2008) Methods for diesel engine air intake and filtration system size reductions, Donaldson Bulletin
9. Azimi P, Zhao D, Stephens B (2014) Estimates of HVAC filtration efficiency for fine and ultrafine particles of outdoor origin. Atmos Environ 98:337–34610.1016/j.atmosenv.2014.09.007 ↗
10. Toma M, Stan C, and Fileru I (2018) The restriction produced by the air filtration system versus the restriction produced by the air filter. In: MATEC web of conferences, EDP Sciences, p 900210.1051/matecconf/201817809002 ↗
11. Andrady AL (2008) Science and technology of polymer nanofibers. A John Wiley & Sons, Inc., USA10.1002/9780470229842 ↗
12. Fotovati S, Vahedi Tafreshi H, Pourdeyhimi B (2010) Influence of fiber orientation distribution on performance of aerosol filtration media. Chem Eng Sci 65(18):5285–5293. https://doi.org/10.1016/j.ces.2010.06.03210.1016/j.ces.2010.06.032 ↗
13. Hosseini SA, Tafreshi HV (2010) Modeling permeability of 3-D nanofiber media in slip flow regime. Chem Eng Sci 65(6):2249–2254. https://doi.org/10.1016/j.ces.2009.12.00210.1016/j.ces.2009.12.002 ↗
14. Jaganathan S, Vahedi Tafreshi H, Pourdeyhimi B (2008) A realistic approach for modeling permeability of fibrous media: 3-D imaging coupled with CFD simulation. Chem Eng Sci 63(1):244–252. https://doi.org/10.1016/j.ces.2007.09.02010.1016/j.ces.2007.09.020 ↗
15. Ashari A, Vahedi Tafreshi H (2009) A two-scale modeling of motion-induced fluid release from thin fibrous porous media. Chem Eng Sci 64(9):2067–2075. https://doi.org/10.1016/j.ces.2009.01.04810.1016/j.ces.2009.01.048 ↗
16. Jaganathan S, Vahedi Tafreshi H, Pourdeyhimi B (2008) Modeling liquid porosimetry in modeled and imaged 3-D fibrous microstructures. J Colloid Interface Sci 326(1):166–175. https://doi.org/10.1016/j.jcis.2008.07.01110.1016/j.jcis.2008.07.011 ↗
17. Hosseini SA (2011) VCU scholars compass modeling particle filtration and caking in fibrous
18. Bai H et al (2021) Theoretical model of single fiber efficiency and the effect of microstructure on fibrous filtration performance: a review. Ind Eng Chem Res 60(1):3–36. https://doi.org/10.1021/acs.iecr.0c0440010.1021/acs.iecr.0c04400 ↗
19. Saleh AM, Hosseini SA, Vahedi Tafreshi H, Pourdeyhimi B (2013) 3-D microscale simulation of dust-loading in thin flat-sheet filters: a comparison with 1-D macroscale simulations. Chem Eng Sci 99:284–291. https://doi.org/10.1016/j.ces.2013.06.00710.1016/j.ces.2013.06.007 ↗
20. Ptak TJ, (2017) “Gas filtration,” Fibrous Filter Media, p 3–26 https://doi.org/10.1016/B978-0-08-100573-6.00002-210.1016/B978-0-08-100573-6.00002-2 ↗
21. Mead-Hunter R, King AJC, Mullins BJ (2017) Fibrous filtration of liquid aerosols. Elsevier Ltd. https://doi.org/10.1016/B978-0-08-100573-6.00010-110.1016/B978-0-08-100573-6.00010-1 ↗
22. Mullins BJ, King AJC, Mead-Hunter R, Heikamp W (2017) Knitted fibrous filter media, vol 1. Elsevier Ltd. https://doi.org/10.1016/B978-0-08-100573-6.00004-610.1016/B978-0-08-100573-6.00004-6 ↗
23. Jasper WJ, Rasipuram SC (2017) Plasma textiles as fibrous filter media, vol 2014. Elsevier Ltd. https://doi.org/10.1016/B978-0-08-100573-6.00011-310.1016/B978-0-08-100573-6.00011-3 ↗
24. Mao N (2017) Nonwoven fabric filters, vol 2013. Elsevier Ltd. https://doi.org/10.1016/B978-0-08-100573-6.00005-810.1016/B978-0-08-100573-6.00005-8 ↗
25. Azimian M, Kühnle C, Wiegmann A (2018) Design and optimization of fibrous filter media using lifetime multipass simulations. Chem Eng Technol 41(5):928–935. https://doi.org/10.1002/ceat.20170058510.1002/ceat.201700585 ↗
26. Li L et al (2023) Three-dimensional numerical simulation and structural optimization of filtration performance of pleated cylindrical metal fiber filter. Sep Purif Technol 311:12322410.1016/j.seppur.2023.123224 ↗
27. Gervais PC, Bémer D, Bourrous S, Ricciardi L (2017) Airflow and particle transport simulations for predicting permeability and aerosol filtration efficiency in fibrous media. Chem Eng Sci 165:154–164. https://doi.org/10.1016/j.ces.2017.03.00210.1016/j.ces.2017.03.002 ↗
28. Li W, Shen S, Li H (2016) Study and optimization of the filtration performance of multi–fiber filter. Adv Powder Technol 27(2):638–64510.1016/j.apt.2016.02.018 ↗
29. Wu S-E, Lin Y-C, Hwang K-J, Cheng T-W, Tung K-L (2018) High-efficiency hollow fiber arrangement design to enhance filtration performance by CFD simulation. Chem Eng Process Process Intensif 125:87–9610.1016/j.cep.2018.01.003 ↗
30. Qian F, Huang N, Lu J, Han Y (2014) CFD-DEM simulation of the filtration performance for fibrous media based on the mimic structure. Comput Chem Eng 71:478–488. https://doi.org/10.1016/j.compchemeng.2014.09.01810.1016/j.compchemeng.2014.09.018 ↗
31. Wang Y, Zhang X, Jin X, Liu W (2023) An in situ self-charging triboelectric air filter with high removal efficiency, ultra-low pressure drop, superior filtration stability, and robust service life. Nano Energy 105:10802110.1016/j.nanoen.2022.108021 ↗
32. Zhang H, Fang S, Wu Z, Islam SR, Qin X (2023) PAN/PAN-FPU double-layer composite nanofiber air filter fabricated by electrospinning for filtering oil and salt particles. ACS Appl Nano Mater 6(9):7619–7628. https://doi.org/10.1021/acsanm.3c0078110.1021/acsanm.3c00781 ↗
33. Shen R et al (2023) Biobased nanofibrous membrane via delayed-volatilizing green electrospinning for high-performance air filtration. ACS Appl Polym Mater 5(10):8559–8569. https://doi.org/10.1021/acsapm.3c0166610.1021/acsapm.3c01666 ↗
34. Hu R et al (2023) Polylactic acid/calcium stearate hydrocharging melt-blown nonwoven fabrics for respirator applications. ACS Appl Polym Mater 5(6):4372–4379. https://doi.org/10.1021/acsapm.3c0050010.1021/acsapm.3c00500 ↗
35. Wang H, Chen Q, Chen M, Zhang JZ, Liu YS (2023) Novel filter material by glass fiber foam laying for nonwoven fabrics. J Ind Text 53:1–13. https://doi.org/10.1177/1528083723119925910.1177/15280837231199259 ↗
36. Derk RC et al (2022) Efficacy of do-it-yourself air filtration units in reducing exposure to simulated respiratory aerosols. Build Environ 229(2022):109920. https://doi.org/10.1016/j.buildenv.2022.10992010.1016/j.buildenv.2022.109920 ↗
37. Chen J et al (2023) Electrospinning of biodegradable, monolithic membrane with distinct bimodal micron-sized fibers and nanofibers for high efficiency PMs removal. ACS Appl Mater Interfaces 15(29):35507–35515. https://doi.org/10.1021/acsami.3c0649110.1021/acsami.3c06491 ↗
38. Toptas A, Calisir MD, Gungor M, Kilic A (2023) Enhancing filtration performance of submicron particle filter media through bimodal structural design. Polym Eng Sci 2023:901–912. https://doi.org/10.1002/pen.2659310.1002/pen.26593 ↗
39. Zhang X et al (2023) Effect of pipes materials on particulate matters deposition in fresh air filtration systems a case study. Therm Sci 27(2):1563–1571. https://doi.org/10.2298/TSCI220708183Z10.2298/TSCI220708183Z ↗
40. Xu H, Xu JW, Yi LX, Yuan YT, Cai ZQ (2023) Performance control study of interleaved meltblown non-woven materials based on statistical analysis and predictive modeling. Front Comput Neurosci 17:1109371. https://doi.org/10.3389/fncom.2023.110937110.3389/fncom.2023.1109371 ↗
41. Sell W (1931) VDI-Forschungsheft 347. VDI‐Verlag, Berlin
42. Kaufmann A (1936) Die faserstoffe für atemschutzfilter-wirkungsweise und verbesserungsmöglichkeiten. VDI 80(20):593–599
43. Albrecht WA, Jenny H (1931) Available soil calcium in relation to" damping off" of soy bean seedlings. Bot Gaz 92(3):263–27810.1086/334196 ↗
44. Lamb H (1945) On the motion of solids through a liquid. Hydrodynamics, 6th ed. Dover, New York, pp 160–201
45. Podgórski A, Bałazy A, Gradoń L (2006) Application of nanofibers to improve the filtration efficiency of the most penetrating aerosol particles in fibrous filters. Chem Eng Sci 61(20):6804–6815. https://doi.org/10.1016/j.ces.2006.07.02210.1016/j.ces.2006.07.022 ↗
46. Payet, S., Boulaud, D., Madelaine, G., and Renoux, A (1992) Penetration and pressure drop of a HEPA filter during loading with submicron liquid particles. Journal of Aerosol Science. 23(7):723–735.10.1016/0021-8502(92)90039-X ↗
47. Brown RC (1993) Air filtrationan integrated approach to the theory and applications of fibrous filters
48. Frising T, Thomas D, Bémer D, Contal P (2005) Clogging of fibrous filters by liquid aerosol particles: experimental and phenomenological modelling study. Chem Eng Sci 60(10):2751–2762. https://doi.org/10.1016/j.ces.2004.12.02610.1016/j.ces.2004.12.026 ↗
49. Dunnett S (2014) Filtration mechanisms. Aerosol Sci: Technol Appl 9781119977:89–117. https://doi.org/10.1002/9781118682555.ch510.1002/9781118682555.ch5 ↗
50. Perlmutter FD (2014) “Introduction,” Alternative social agencies: administrative strategies pp 1–4 https://doi.org/10.2307/j.ctvjf9xz1.310.2307/j.ctvjf9xz1.3 ↗
51. Janssen L (2003) Principles of physiology and respirator performance. Occup Health Saf 72(6):73–81
52. Cai RR, Zhang LZ (2023) Progress and perspective of polymer electret-based PM25 filtration: efficiencies, regeneration, and energy implications. Energy 283:128504. https://doi.org/10.1016/j.energy.2023.12850410.1016/j.energy.2023.128504 ↗
53. Han KS, Lee S, Kim M, Park P, Lee MH, Nah J (2019) Electrically activated ultrathin PVDF-TrFE air filter for high-efficiency PM1.0 filtration. Adv Funct Mater. https://doi.org/10.1002/adfm.20190363310.1002/adfm.201903633 ↗
54. Gao H et al (2025) Deep trapped bipolar heterocharges enable electret nanofibrous membranes for high-efficiency PM0.3 filtration. Sep Purif Technol. https://doi.org/10.1016/j.seppur.2024.12893110.1016/j.seppur.2024.128931 ↗
55. Guo Y, He W, Liu J, Wang J (2025) Charge characteristics of co-electrospun nanofiber membranes and their application in high-humidity environment. Sep Purif Technol. https://doi.org/10.1016/j.seppur.2024.13088610.1016/j.seppur.2024.130886 ↗
56. Liu P et al (2022) Space Charge Behavior in Epoxy-Based Dielectrics: Progress and Perspective. John Wiley and Sons Inc. https://doi.org/10.1002/aelm.20220025910.1002/aelm.202200259 ↗
57. Zhang H et al (2022) Space charge dynamics in epoxy resins under the influence of a long-term high electric field at various temperatures. Front Chem 10:904750. https://doi.org/10.3389/fchem.2022.90475010.3389/fchem.2022.904750 ↗
58. Lin S et al (2022) Multiplying the stable electrostatic field of electret based on the heterocharge-synergy and superposition effect. Adv Sci 9(32):2203150. https://doi.org/10.1002/advs.20220315010.1002/advs.202203150 ↗
59. Bui TT, Shin MK, Jee SY, Long DX, Hong J, Kim MG (2022) Ferroelectric PVDF nanofiber membrane for high-efficiency PM0.3 air filtration with low air flow resistance. Colloids Surf Physicochem Eng Asp. https://doi.org/10.1016/j.colsurfa.2022.12841810.1016/j.colsurfa.2022.128418 ↗
60. Zhang Y, Xun H, Zhang X, Zhu J, Zhou H, Niu H (2026) Superlyophobic electret cyclic olefin copolymer (COC) nanofibers for durable, high-efficiency removal of ultrafine solid and oily aerosol pollutants. J Memb Sci 738:12487210.1016/j.memsci.2025.124872 ↗
61. Long J et al (2025) Polypropylene-reinforced triboelectric nanogenerator for energy harvesting and exhaust pollutants purification. Nano Energy. https://doi.org/10.1016/j.nanoen.2025.11132510.1016/j.nanoen.2025.111325 ↗
62. Toptas A (2025) High-efficiency PLA nano-microfibrous filters enabled by bimodal structure and corona discharge. J Appl Polym Sci. https://doi.org/10.1002/app.5730210.1002/app.57302 ↗
63. Li K, Feng G, Chen T, Zhao H (2024) Research of electret air filter: A review. John wiley and sons Ltd. https://doi.org/10.1002/pat.645410.1002/pat.6454 ↗
64. Türkoğlu GC, Khomarloo N, Mohsenzadeh E, Gospodinova DN, Neznakomova M, Salaün F (2024) PVA-based electrospun materials—a promising route to designing nanofiber mats with desired morphological shape—a review. Multidiscip Dig Publ Instit (MDPI). 25(3):1668
65. Chen X, Zhang Z, Hu C, Zhao Y, Wang S, Huang C (2025) Thermal insulation nanofiber aerogels: a journey from structure construction to multifunctionalization. John Wiley and Sons Inc. https://doi.org/10.1002/smll.20250229110.1002/smll.202502291 ↗
66. Biabani A, Kalantary S, Nasirzadeh N, Bagherzadeh R, Golbabaei F (2025) A review on surface modification strategies of nanofibers for fine particle filtration. SAGE Publications Ltd. https://doi.org/10.1177/1528083725134378810.1177/15280837251343788 ↗
67. Bai H et al (2021) Theoretical model of single fiber efficiency and the effect of microstructure on fibrous filtration performance: a review. Am Chem Soc 60(1):3–36
68. Khan TM, Khan SUD, Raffi M, Khan R (2021) Theoretical–computational study of atmospheric dbd plasma and its utility for nanoscale biocompatible plasmonic coating. Molecules. https://doi.org/10.3390/molecules2616510610.3390/molecules26165106 ↗
69. Kumar A, Gautam S, Bhatta N, Tafreshi HV, Pourdeyhimi B (2024) Effects of droplet deposition on aerosol capture efficiency of bipolarly charged fibers. Soft Matter 21(2):198–208. https://doi.org/10.1039/d4sm01105h10.1039/d4sm01105h ↗
70. Yan N, Gao T, Hua L, Xie F, Liu R, Lu Z (2025) Highly electrostatic cellulose acetate-based composite electret nanofiber film for air filtration applications. ACS Appl Polym Mater 7(4):2311–2320. https://doi.org/10.1021/acsapm.4c0335110.1021/acsapm.4c03351 ↗
71. Wang Y et al (2025) High-dielectric-constant and biodegradable fiber membrane for high-efficiency and low-resistance air purification by the interfacial polarization enhancement†. Chin J Chem 43(22):2979–2986. https://doi.org/10.1002/cjoc.7021210.1002/cjoc.70212 ↗
72. Shim E, Noh J, Kim Y (2022) Development and performance evaluation of polytetrafluoroethylene-membrane-based automotive cabin air filter. ACS Omega 7(48):43738–43746. https://doi.org/10.1021/acsomega.2c0475810.1021/acsomega.2c04758 ↗
73. Tang L et al (2024) Fiber-in-tube electrifiable structure for virus filtration self-generated static electricity by vibration/sound. ACS Appl Mater Interfaces 16(19):25160–25168. https://doi.org/10.1021/acsami.4c0453510.1021/acsami.4c04535 ↗
74. Shi S et al (2025) Advances in Nanofiber Filtration Membranes: From Principles to Intelligent Applications. John Wiley and Sons Inc. https://doi.org/10.1002/adfm.20242328410.1002/adfm.202423284 ↗
75. Basar AO, Prieto C, Pardo-Figuerez M, Lagaron JM (2023) Poly(3-hydroxybutyrate-co-3-hydroxyvalerate) electrospun nanofibers containing natural deep eutectic solvents exhibiting a 3D rugose morphology and charge retention properties. ACS Omega 8(4):3798–3811. https://doi.org/10.1021/acsomega.2c0583810.1021/acsomega.2c05838 ↗
76. Lin S et al (2021) Trap-induced dense monocharged perfluorinated electret nanofibers for recyclable multifunctional healthcare mask. ACS Nano 15(3):5486–5494. https://doi.org/10.1021/acsnano.1c0023810.1021/acsnano.1c00238 ↗
77. Jin L, Ao Y, Xu T, Zou Y, Yang W (2024) Recent advances in MXene-based composites for piezoelectric sensors. R Soc Chem 16(47):21673–21696
78. Kakoria A, Zaid MM, Iqbal A, Moradi M, Zheng L, Xu G (2026) Electroactive PVDF/Ti3C2Tx MXene functionalized nanofiber mats with high surface potential for high-efficiency indoor & outdoor submicron PM(0.3-2)μm filtration. Environ Pollut. https://doi.org/10.1016/j.envpol.2026.12765910.1016/j.envpol.2026.127659 ↗
79. Mendez MJ, Panebianco JE, Buschiazzo DE (2013) A new dust generator for laboratory dust emission studies. Aeolian Res 8:59–64. https://doi.org/10.1016/j.aeolia.2012.10.00710.1016/j.aeolia.2012.10.007 ↗
80. Shukla S et al (2019) Probing the three-dimensional porous and tortuous nature of absorptive glass mat (AGM) separators. J Energy Storage 27:2020. https://doi.org/10.1016/j.est.2019.10100310.1016/j.est.2019.101003 ↗
81. Helliwell JR et al (2013) Applications of X-ray computed tomography for examining biophysical interactions and structural development in soil systems: a review. Eur J Soil Sci 64(3):279–297. https://doi.org/10.1111/ejss.1202810.1111/ejss.12028 ↗
82. Bai H et al (2020) Computing pore size distribution in non-woven fibrous filter media. Fibers Polym 21(1):196–203. https://doi.org/10.1007/s12221-020-9181-810.1007/s12221-020-9181-8 ↗
83. Wang Q, Maze B, Tafreshi HV, Pourdeyhimi B (2006) A case study of simulating submicron aerosol filtration via lightweight spun-bonded filter media. Chem Eng Sci 61(15):4871–488310.1016/j.ces.2006.03.039 ↗
84. Sambaer W, Zatloukal M, Kimmer D (2011) 3D modeling of filtration process via polyurethane nanofiber based nonwoven filters prepared by electrospinning process. Chem Eng Sci 66(4):613–623. https://doi.org/10.1016/j.ces.2010.10.03510.1016/j.ces.2010.10.035 ↗
85. Sambaer W, Zatloukal M, Kimmer D (2012) 3D air filtration modeling for nanofiber based filters in the ultrafine particle size range. Chem Eng Sci 82:299–311. https://doi.org/10.1016/j.ces.2012.07.03110.1016/j.ces.2012.07.031 ↗
86. Payatakes AC, Gradoń L (1980) Dendritic deposition of aerosols by convective Brownian diffusion for small, intermediate and high particle Knudsen numbers. AIChE J 26(3):443–454. https://doi.org/10.1002/aic.69026031610.1002/aic.690260316 ↗
87. Sozumert E, Kiyak Y, Demirci E, Silberschmidt VV (2020) Effect of microstructure on porosity of random fibrous networks. J Text Inst 111(12):1713–1723. https://doi.org/10.1080/00405000.2020.172233810.1080/00405000.2020.1722338 ↗
88. Ghasemi-Mobarakeh L, Semnani D, Morshed M (2007) A novel method for porosity measurement of various surface layers of nanofibers mat using image analysis for tissue engineering applications. J Appl Polym Sci 106(4):2536–254210.1002/app.26949 ↗
89. Huang L, Wan G, Liu C, (2003) An improved parallel thinning algorithm. In: ICDAR, Citeseer, 78010.1109/ICDAR.2003.1227768 ↗
90. Leng Z, Korenberg JR, Roysam B, Tasdizen T (2011) A RAPID 2-D centerline extraction method based on tensor voting The Department of Mechanical Engineering , University of Utah , Utah , USA The Brain Institute , University of Utah , Utah , USA Electrical , Computer and Systems Engineering Department , Ren. Imaging, pp 1000–100310.1109/ISBI.2011.5872570 ↗
91. Arganda-Carreras I, Fernández-González R, Muñoz-Barrutia A, Ortiz-De-Solorzano C (2010) 3D reconstruction of histological sections: application to mammary gland tissue. Microsc Res Tech 73(11):1019–1029. https://doi.org/10.1002/jemt.2082910.1002/jemt.20829 ↗
92. Sambaer W, Zatloukal M, Kimmer D (2010) The use of novel digital image analysis technique and rheological tools to characterize nanofiber nonwovens. Polym Test 29(1):82–9410.1016/j.polymertesting.2009.09.008 ↗
93. Rief S, Latz A, Wiegmann A (2006) Simulation of air filtration including electric surface charges in 3-dimensional fibrous microstructures. Filtr 6(2):169–172
94. Lehmann MJ, Weber J, Kilian A, Heim M (2016) Microstructure simulation as part of fibrous filter media development processes - from real to virtual media. Chem Eng Technol 39(3):403–408. https://doi.org/10.1002/ceat.20150034110.1002/ceat.201500341 ↗
95. J.D A, Computational fluid dynamics. The basics with applications (best of topic!! Lastima que formato feo).pdf
96. Hosseini SA, Tafreshi HV (2010) 3-D simulation of particle filtration in electrospun nanofibrous filters. Powder Technol 201(2):153–160. https://doi.org/10.1016/j.powtec.2010.03.02010.1016/j.powtec.2010.03.020 ↗
97. Graham K, Ouyang M, Raether T, Grafe T, Mcdonald B, Knauf P (2002) Polymeric nanofibers in air filtration applications, In: Fifteenth annual technical conference & expo of the American filtration & separation society. pp 9–12
98. Clague DS, Phillips RJ (1997) A numerical calculation of the hydraulic permeability of three-dimensional disordered fibrous media. Phys Fluids 9(6):1562–157210.1063/1.869278 ↗
99. Kamarapu SK, Jabbarzadeh M, Fsu HC (2021) Modeling creeping flows in porous media using regularized stokeslets. Phys Rev Fluids 7:10–13
100. Balaguer M (2009) Realism and anti-realism in mathematics. Elsevier B.V. https://doi.org/10.1016/B978-0-444-51555-1.50006-710.1016/B978-0-444-51555-1.50006-7 ↗