Review and demonstration of equations applied to models of filtering facepiece respirator particle capture efficiency

References

• Balazy A, Toivola M, Reponen T, Podgorski A, Zimmer A, Grinshpun SA. 2006. Manikin-based performance evaluation of N95 filtering-facepiece respirators challenged with nanoparticles. Ann Occup Hyg. 50(3):259–269.
   PubMed Web of Science ®Google Scholar
• Bandi M. 2020. Electrocharged facepiece respirator fabrics using common materials. Proc R Soc A Math Phys Eng Sci. 476(2243):20200469.
   PubMed Web of Science ®Google Scholar
• Brown RC. 1981. Capture of dust particles in filters by linedipole charged fibres. J Aerosol Sci. 12(4):349–356. doi:10.1016/0021-8502(81)90024-0
   Web of Science ®Google Scholar
• Brown RC. 1993. Air filtration: an integrated approach to the theory and applications of fibrous filters. Oxford (UK): Pergamon Press.
   Google Scholar
• Chazelet S, Bemer D, Grippari F. 2011. Effect of the test aerosol charge on the penetration through electret filter. Sep Purif Technol. 79(3):352–356. doi:10.1016/j.seppur.2011.03.021
   Web of Science ®Google Scholar
• Chen CC, Lehtimaki M, Willeke K. 1993. Loading and filtration characteristics of filtering facepieces. Am Ind Hyg Assoc J. 54(2):51–60. doi:10.1080/15298669391354324
   PubMed Web of Science ®Google Scholar
• Davies CN. 1953. The separation of airborne dust and particles. Proc Inst Mech Eng. 167(1b):185–213.
   Google Scholar
• Davies CN. 1973. Air filtration. London (UK): Academic Press.
   Google Scholar
• Dhaniyala S, Liu B. 1999. Investigations of particle penetration in fibrous filters: part II. theoretical. J IEST. 42(2):40–46. doi:10.17764/jiet.42.2.p8881880466431u6
   Google Scholar
• Emi H, Kanaoka C, Otani Y, Ishiguro T. 1987. Collection mechanisms of electret filter. Part Sci Technol. 5(2):161–171. doi:10.1080/02726358708904545
   Web of Science ®Google Scholar
• Fan J, Lominé F, Hellou M. 2020. Numerical investigation of the influence of fiber geometry on filtration performance with a coupled lattice Boltzmann–discrete element method. J Appl Mech. 87(1):011005-1–011005-11. doi:10.1115/1.4044928
   PubMed Web of Science ®Google Scholar
• Fjeld RA, Owens TM. 1988. The effect of particle charge on penetration in an electret filter. IEEE Trans Ind Appl. 24(4):725–731. doi:10.1109/28.6128
   Web of Science ®Google Scholar
• Frising T, Thomas D, Contal P, Bémer D, Leclerc D. 2003. Influence of filter fibre size distribution on filter efficiency calculations. Chem Eng Res Des. 81(9):1179–1184. doi:10.1205/026387603770866353
   Google Scholar
• Fuchs NA. 1963. On the stationary charge distribution on aerosol particles in a bipolar ionic atmosphere. Geofis Pura Appl. 56(1):185–193. doi:10.1007/BF01993343
   Google Scholar
• Fuchs NA. 1964. In: Davies CN, editor. The mechanics of aerosols. New York (NY): Pergamon.
   Google Scholar
• Gougeon R, Boulaud D, Renoux A. 1996. Comparison of data from model fiber filters with diffusion, interception and inertial deposition models. Chem Eng Commun. 151(1):19–39. doi:10.1080/00986449608936539
   Web of Science ®Google Scholar
• Gunn R, Woessner RH. 1956. Measurements of the systematic electrification of aerosols. J Colloid Sci. 11(3):254–259. doi:10.1016/0095-8522(56)90050-2
   Google Scholar
• Hinds WC. 1999. Aerosol technology: principles, behavior, and measurement of airborne particles. 2nd ed. New York (NY): John Wiley & Sons, Inc.
   Google Scholar
• Kanaoka C, Emi H, Otani Y, Iiyama T. 1987. Effect of charging state of particles on electret filtration. Aerosol Sci Technol. 7(1):1–13. doi:10.1080/02786828708959142
   Web of Science ®Google Scholar
• Kang S, Lee H, Kim SC, Chen D-R, Pui DY. 2019. Modeling of fibrous filter media for ultrafine particle filtration. Sep Purif Technol. 209:461–469. doi:10.1016/j.seppur.2018.07.068
   Web of Science ®Google Scholar
• Kilic A, Russell S, Shim E, Pourdeyhimi B. 2017. The charging and stability of electret filters. In: Brown P, Cox CL, editors. Fibrous filter media. New York (NY): Elsevier, Woodhead. p. 95–121.
   Google Scholar
• Kirsch A, Fuchs N. 1968. Studies on fibrous aerosol filters—III. Diffusional deposition of aerosols in fibrous filters. Ann Occup Hyg. 11(4):299–304. doi:10.1093/annhyg/11.4.299
   PubMedGoogle Scholar
• Kowalski W, Bahnfleth WP, Whittam T. 1999. Filtration of airborne microorganisms: modeling and prediction. Ashrae Trans. 105:4–17.
   Google Scholar
• Kuwabara S. 1959. The forces experienced by randomly distributed parallel circular cylinders or spheres in a viscous flow at small Reynolds numbers. J Phys Soc Jpn. 14(4):527–532. doi:10.1143/JPSJ.14.527
   Google Scholar
• Landahl H, Herrmann R. 1949. Sampling of liquid aerosols by wires, cylinders, and slides, and the efficiency of impaction of the droplets. J Colloid Sci. 4(2):103–136. doi:10.1016/0095-8522(49)90038-0
   PubMedGoogle Scholar
• Larsen GS, Cheng Y, Daemen LL, Lamichhane TN, Hensley DK, Hong K, Meyer HM, Monaco SJ, Levine AM, Lee RJ, et al. 2021. Polymer, additives, and processing effects on N95 filter performance. ACS Appl Polym Mater. 3(2):1022–1031. doi:10.1021/acsapm.0c01294
   Web of Science ®Google Scholar
• Lathrache R, Fissan H. 1986. Fractional penetrations for electrostatically charged fibrous filters in the submicron particle size range. Part Part Syst Charact. 3(2):74–80. doi:10.1002/ppsc.19860030206
   Google Scholar
• Lathrache R, Fissan H. 1987. Enhancement of particle deposition in filters due to electrostatic effects. Filtr Sep. 24(6):418–422.
   Google Scholar
• Lathrache R, Fissan H, Neumann S. 1986. Deposition of submicron particles on electrically charged fibers. J Aerosol Sci. 17(3):446–449. doi:10.1016/0021-8502(86)90127-8
   Web of Science ®Google Scholar
• Lee KW, Liu BYH. 1982. Theoretical study of aerosol filtration by fibrous filters. Aerosol Sci Technol. 1(2):147–161. doi:10.1080/02786828208958584
   Web of Science ®Google Scholar
• Letourneau P, Mulcey P, Vendel J. 1987. Effect of dust loading on the pressure drop and efficiency of HEPA filters. Filtr Sep. 24(4):265–267.
   Google Scholar
• Li W, Shen S, Li H. 2016. Study and optimization of the filtration performance of multi–fiber filter. Adv Powder Technol. 27(2):638–645. doi:10.1016/j.apt.2016.02.018
   Web of Science ®Google Scholar
• Liu BYH, Rubow KL. 1990. Efficiency, pressure drop and figure of merit of high efficiency fibrous and membrane filter media. Proceedings of the 5th World Filtration Congress; Nice, France.
   Google Scholar
• Maze B, Tafreshi HV, Wang Q, Pourdeyhimi B. 2007. A simulation of unsteady-state filtration via nanofiber media at reduced operating pressures. J Aerosol Sci. 38(5):550–571. doi:10.1016/j.jaerosci.2007.03.008
   Web of Science ®Google Scholar
• Nguyen X, Beeckmans J. 1975. Single fibre capture efficiencies of aerosol particles in real and model filters in the inertial-interceptive domain. J Aerosol Sci. 6(3-4):205–212. doi:10.1016/0021-8502(75)90089-0
   Google Scholar
• Otani Y, Emi H, Mori J. 1993. Initial collection efficiency of electret filter and its durability for solid and liquid particles [translated]. KONA. 11(0):207–214. doi:10.14356/kona.1993023
   Google Scholar
• Payen J, Vroman P, Lewandowski M, Perwuelz A, Calle-Chazelet S, Thomas D. 2012. Influence of fiber diameter, fiber combinations and solid volume fraction on air filtration properties in nonwovens. Text Res J. 82(19):1948–1959. doi:10.1177/0040517512449066
   Web of Science ®Google Scholar
• Payet S, Boulaud D, Madelaine G, Renoux A. 1992. Penetration and pressure drop of a HEPA filter during loading with submicron liquid particles. J Aerosol Sci. 23(7):723–735. doi:10.1016/0021-8502(92)90039-X
   Web of Science ®Google Scholar
• Rader DJ. 1990. Momentum slip correction factor for small particles in nine common gases. J Aerosol Sci. 21(2):161–168. doi:10.1016/0021-8502(90)90001-E
   Web of Science ®Google Scholar
• Ramirez JA, O’Shaughnessy PT. 2016. The effect of simulated air conditions on N95 filtering facepiece respirators performance. J Occup Environm Hyg. 13(7):491–500. doi:10.1080/15459624.2016.1143950
   PubMed Web of Science ®Google Scholar
• Romay FJ, Liu BY, Chae S-J. 1998. Experimental study of electrostatic capture mechanisms in commercial electret filters. Aerosol Sci Technol. 28(3):224–234. doi:10.1080/02786829808965523
   Web of Science ®Google Scholar
• Sakano T, Otani Y, Namiki N, Emi H. 2000. Particle collection of medium performance air filters consisting of binary fibers under dust loaded conditions. Sep Purif Technol. 19(1-2):145–152. doi:10.1016/S1383-5866(99)00086-6
   Web of Science ®Google Scholar
• Sanchez AL, Hubbard JA, Dellinger JG, Servantes BL. 2013. Experimental study of electrostatic aerosol filtration at moderate filter face velocity. Aerosol Sci Technol. 47(6):606–615. doi:10.1080/02786826.2013.778384
   Web of Science ®Google Scholar
• Stechkina IB, Fuchs NA. 1966. Studies on fibrous aerosol filters—I. Calculation of diffusional deposition of aerosols in fibrous filters. Ann Occup Hyg. 9(2):59–64.
   Google Scholar
• Stechkina IB, Kirsch AA, Fuchs NA. 1969. Studies on fibrous aerosol filters. IV. Calculation of aerosol deposition in model filters in the range of maximum penetration. Ann Occup Hyg. 12(1):1–8.
   PubMedGoogle Scholar
• Tabti B, Dascalescu L, Plopeanu M, Antoniu A, Mekideche M. 2009. Factors that influence the corona charging of fibrous dielectric materials. J Electrostat. 67(2-3):193–197. doi:10.1016/j.elstat.2009.01.047
   Web of Science ®Google Scholar
• Tabti B, Mekideche M, Plopeanu M, Dumitran L, Herous L, Dascalescu L. 2010. Corona-charging and charge-decay characteristics of nonwoven filter media. IEEE Trans on Ind Applicat. 46(2):634–640. doi:10.1109/TIA.2010.2041090
   Web of Science ®Google Scholar
• Thom A. 1933. The flow past circular cylinders at low speeds. Proc R Soc A Math Phys Eng Sci. 141(845):651–669.
   Google Scholar
• Vincent JH. 1995. Aerosol science for industrial hygienists. New York (NY): Elsevier.
   Google Scholar
• Wang C-S. 2001. Electrostatic forces in fibrous filters—a review. Powder Technol. 118(1-2):166–170. doi:10.1016/S0032-5910(01)00307-2
   Web of Science ®Google Scholar
• Wang J, Chen DR, Pui DYH. 2006. Modeling of filtration efficiency of nanoparticles in standard filter media. J Nanopart Res. 9(1):109–115. doi:10.1007/s11051-006-9155-9
   Web of Science ®Google Scholar
• Wang J, Kim SC, Pui DY. 2008. Figure of merit of composite filters with micrometer and nanometer fibers. Aerosol Sci Technol. 42(9):722–728. doi:10.1080/02786820802249133
   Web of Science ®Google Scholar
• Wang J, Kim SC, Pui DY. 2011. Measurement of multi-wall carbon nanotube penetration through a screen filter and single-fiber analysis. J Nanopart Res. 13(10):4565–4573. doi:10.1007/s11051-011-0415-y
   Web of Science ®Google Scholar
• Wiedensohler A. 1988. An approximation of the bipolar charge distribution for particles in the submicron size range. J Aerosol Sci. 19(3):387–389. doi:10.1016/0021-8502(88)90278-9
   Web of Science ®Google Scholar
• Wiedensohler A, Birmili W, Nowak A, Sonntag A, Weinhold K, Merkel M, Wehner B, Tuch T, Pfeifer S, Fiebig M. 2010. Particle mobility size spectrometers: harmonization of technical standards and data structure to facilitate high quality long-term observations of atmospheric particle number size distributions. Atmos Meas Tech Discuss. 3:5521–5587.
   Google Scholar
• Yeh H-C, Cheng Y-S. 1982. Theoretical study of equilibrium bipolar charge distribution on nonuniform primary straight chain aggregate aerosols. Aerosol Sci Technol. 2(3):383–388. doi:10.1080/02786828308958642
   Web of Science ®Google Scholar
• Yeh H-C, Liu BY. 1974. Aerosol filtration by fibrous filters—I. Theoretical. J Aerosol Sci. 5(2):191–204. doi:10.1016/0021-8502(74)90049-4
   Google Scholar