Effect of Filter Inhomogeneity on Deep-Bed Filtration Process – A CFD Investigation

Document Type : Research Article


Warsaw University of Technology, Faculty of Chemical and Process Engineering, Ul. Waryńskiego 1, 00-645 Warsaw, POLAND


Aerosol filtration in fibrous filters is one of the principal methods of removal of solid particles from the gas stream. The classical theory of depth filtration is based on the assumption of existing single fiber efficiency, which may be used to the recalculation of the overall efficiency of the entire filter. There are several reasons for inappropriate estimation of the single fiber efficiency including the assumption of the negligible effect of the presence of neighboring fibers and perpendicular orientation of the homogenous fibers. This work aims to investigate the influence of mesoscale inhomogeneity on fibrous filter performance using Computational Fluid Dynamics in models of filters differed by internal structure.


Main Subjects

[1] Benarie M., Einfluss der Porenstruktur Auf den Abscheindegrad in Faserfiltern, Staub-Reinhalt. Luft, 29 (2): 74-78 (1969).
[2] Cai J., Fibrous Filters with Non-ideal Conditions, Ph.D. Thesis, The Royal Institute of Technology: Stockholm, Sweden (1992).
[3] Shweers E., Löffler F., Realistic Modeling of the Behaviour of Fibrous Filters Through Consideration of Filter Structure, Powder Technol., 80(3), 191-206 (1994).
[4] Dhaniyala S., Liu B.Y.H., Theoretical Modeling of Filtration by Non-Uniform Fibrous Filters, Aerosol Sci. Techn., 34 (2): 170-178 (2001).
[5] Clement C.F., Dunnet S., The Use of Random Variables in Fibrous Filtration Theory, J. Aerosol Sci., 31 (Suppl. 1), S200-S201 (2000).
[6] Podgórski A., Moskal A., Dispersion of Submicron Particles in Fibrous Filters, Chem. Process Eng., 22(3D): 1139-1144 (2001).
[7] Podgórski A., On the Transport, Deposition and Filtration of Aerosol Particles in Fibrous Filters, Oficyna Wydawnicza Politechniki Warszawskiej, Warsaw, Poland (2002).
[8] Przekop R., Podgórski A., Effect of Shadowing on Deposition Efficiency and Dendrites Morphology in Fibrous Filters, Chem. Process Eng., 25(3): 1563-1568 (2004).
[9] Agrawal A., Djenidi L., Antonia R.A., Investigation of Flow Around a Pair of Side-by-Side Square Cylinders Using Lattice-Boltzmann Method. Comput. Fluids, 35 (10): 1093-1107 (2006)
[10] Wang Q., Maze B., Vahedi Tafreshi H., Pourdeyhimi B., A Case Study of Smulating Submicron Aerosol Filtration via Lightweight Spun-Bonded Filter Media, Chem. Eng. Sci., 61(15): 4871-4883 (2006).
[11] Vahedi Tafreshi H., Rahman M.S.A., Jaganathan S., Wang Q., Pourdeyhimi B., Analytical Expression for Predicting Permability of Bimodal Fibrous Porous Media. Chem. Eng. Sci., 64(15): 1154-1159 (2009).
[12] Fotovati S., Vahedi Tafreshi H., Pourdeyhimi B., Influence of Fiber Orientation Distribution on Performance of Aerosol Filtration Media, Chem. Eng. Sci., 65 (18), 5285-5293 (2010).
[13] Hosseini S.A., Vahedi Tafreshi H., 3D Simulation of Particle Filtration in Electrospun Nanofibrous Filter, Powder Technol., 201 (2): 153-160 (2010).
[14] Hosseini S.A., Vahedi Tafreshi H., Modeling Particle Filtration in Disordered 2D Domains: A Comparison with Cell Models, Sep. Purif. Technol., 74 (2): 160-169 (2010).
[17] Babaie Rabiee M., Talebi S., Abouali O., Izadpanah E.. Investigation of the Characteristics of Particulate Flows Through Fibrous Filters Using Lattice-Boltzmann Method, Particuology, 21: 90-98 (2015).
[18] Banihashemi Teherani S.M., Moosavi A., Sadrhosseini H., Filtration of Aerosol Particles by Cylindrical Fibers within a Parallel and Staggered Array, Microsyst. Technol., 22(5): 965-977 (2016).
[19] Chandrasekhar S., Stochastic Problems in Physics and Astronomy., Rev. Mod. Phys., 15(1): 1-89 (1943).
[20] Stechkina I.B., Fuchs N.A., Studies on Fibrous Filters – I. Calculation of Diffusional Deposition of Aerosols in Fibrous Filters, Ann. Occup. Hyg., 9(2): 59-64 (1966).
[21] Yeh H.C., Liu B.Y.H., Aerosol Filtration by Fibrous Filters I. Theoretical, J. Aerosol Sci., 5(2): 191-204 (1974)
[22] Lee K.W., Ramamurthi M., Filter Collection, in: Willeke K., Baron, M. (Eds.) “Aerosol Measurements: Principles, Techniques and Applications,” Van Nostrand Reinhold, New York, U.S.A., pp. 179-205 (1993).