Numerical study of pressure drop and diffusional collection efficiency of rectangular fibers in filtration

doi:10.7523/j.issn.2095-6134.2017.02.014

Abstract

Abstract: In this work, we use a lattice Boltzmann-cellular automaton (LB-CA) probabilistic model to simulate the particle filtration processes of rectangular fibers. The pressure drop and collection efficiency for the diffusion dominant regime are investigated. By normalizing the pressure drop and collection efficiency of rectangular fibers with those of the circular fiber calculated by using the existing classical expressions, the corresponding ratios are oftained. Then the Levenberg-Marquardt algorithm is used to obtain the fitting expressions of the ratios. The proposed fitting expressions are used to calculate the pressure drops and diffusional collection efficiencies of rectangular fibers under different operation conditions. The results show that the pressure drop of rectangular fibers is dependent on the orientation angle and the aspect ratio and that the diffusional collection efficiency is proportional to the aspect ratio but almost independent of the orientation angle.

Key words: lattice Boltzmann method, rectangular fiber, fitting expression, Levenberg-Marquardt algorithm

CLC Number:

O359

HUANG Haokai, ZHAO Haibo. Numerical study of pressure drop and diffusional collection efficiency of rectangular fibers in filtration[J]. , 2017, 34(2): 210-217.

References

[1] Davies C N. Air filtration[M]. London:Academic Press, 1973.
[2] Hinds W C. Aerosol technology:properties, behavior, and measurement of airborne particles[M]. New York:Wiley-Interscience, 1982.
[3] Kuwabara S. The forces experienced by randomly distributed parallel circular cylinders or spheres in a viscous flow at small Reynolds numbers[J]. Journal of the Physical Society of Japan, 1959, 14(4):527-532.
[4] Happel J. Viscous flow relative to arrays of cylinders[J]. AIChE Journal, 1959, 5(2):174-177.
[5] Lee K W, Liu B Y H. Theoretical study of aerosol filtration by fibrous filters[J]. Aerosol Science and Technology, 1982, 1(2):147-161.
[6] Qian F, Huang N, Zhu X, et al. Numerical study of the gas-solid flow characteristic of fibrous media based on SEM using CFD-DEM[J]. Powder Technology, 2013, 249(11):63-70.
[7] Saleh A M, Hosseini S A, Tafreshi H V, et al. 3-D microscale simulation of dust-loading in thin flat-sheet filters:a comparison with 1-D macroscale simulations[J]. Chemical Engineering Science, 2013, 99(32):284-291.
[8] Soltani P, Johari M S, Zarrebini M. Effect of 3D fiber orientation on permeability of realistic fibrous porous networks[J]. Powder Technology, 2014, 254(c):44-56.
[9] Hutten I M. Handbook of nonwoven filter media[M]. Amsterdam:Elsevier, 2007.
[10] Raynor P C. Flow field and drag for elliptical filter fibers[J]. Aerosol Science and Technology, 2002, 36(12):1118-1127.
[11] Regan B D, Raynor P C. Single-fiber diffusion efficiency for elliptical fibers[J]. Aerosol Science and Technology, 2009, 43(6):533-543.
[12] Raynor P C. Single-fiber interception efficiency for elliptical fibers[J]. Aerosol Science and Technology, 2008, 42(6):357-368.
[13] Wang J, Pui D Y H. Filtration of aerosol particles by elliptical fibers:a numerical study[J]. Journal of Nanoparticle Research, 2009, 11(1):185-196.
[14] Fardi B, Liu B Y H. Flow field and pressure drop of filters with rectangular fibers[J]. Aerosol Science and Technology, 1992, 17(1):36-44.
[15] Fardi B, Liu B Y H. Efficiency of fibrous filters with rectangular fibers[J]. Aerosol Science and Technology, 1992, 17(1):45-58.
[16] Wang C. Stokes flow through an array of rectangular fibers[J]. International Journal of Multiphase Flow, 1996, 22(1):185-194.
[17] Cheung C S, Cao Y H, Yan Z D. Numerical model for particle deposition and loading in electret filter with rectangular split-type fibers[J]. Computational Mechanics, 2005, 35(6):449-458.
[18] Adamiak K. Viscous flow model for charged particle trajectories around a single square fiber in an electric field[J]. Industry Applications, IEEE Transactions on, 1999, 35(2):352-358.
[19] Zhu C, Lin C H, Cheung C S. Inertial impaction dominated fibrous filtration with rectangular or cylindrical fibers[J]. Powder technology, 2000, 112(1):149-162.
[20] Wang H, Zhao H, Guo Z, et al. Numerical simulation of particle capture process of fibrous filters using Lattice Boltzmann two-phase flow model[J]. Powder Technology, 2012, 227(9):111-122.
[21] Wang H, Zhao H, Wang K, et al. Simulating and modeling particulate removal processes by elliptical fibers[J]. Aerosol Science and Technology, 2014, 48(2):207-218.
[22] More J. The Levenberg-Marquardt algorithm:implementation and theory[J]. Numerical analysis. Springer Berlin Heidelberg, 1978:105-116.
[23] Chen S, Doolen G D. Lattice Boltzmann method for fluid flows[J]. Annual Review of Fluid Mechanics, 1998, 30(1):329-364.
[24] Qian Y H, D'Humieres D, Lallemand P. Lattice BGK models for Navier-Stokes equation[J]. EPL (Euro physics Letters), 1992, 17(6):479-484.
[25] Hosseini S A, Tafreshi H V. Modeling particle filtration in disordered 2-D domains:a comparison with cell models[J]. Separation and Purification Technology, 2010, 74(2):160-169.
[26] Liu Z G, Wang P K. Pressure drop and interception efficiency of multifiber filters[J]. Aerosol Science and Technology, 1997, 26(4):313-325.
[27] Stechkina I B, Fuchs N A. Studies on fibrous aerosol filters-I. Calculation of diffusional deposition of aerosols in fibrous filters[J]. Annals of Occupational Hygiene, 1966, 9(2):59-64.