Skip to main content
SpringerLink
Log in

Stochastic analysis of a collection process of submicron particles on a single fiber accounting for the changes in flow field due to particle collection

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

Flow effects on the collection of submicron particles by a single fiber are investigated by stochastic analysis of the particle deposition evolution. The incident particle-laden stream is simulated by a Lagrangian-Eulerian approach, while the flows around a fiber and particles accumulation are solved using the Lattice Boltzmann method in conjunction with Brownian dynamics to trace the trajectory of randomly moving particles. A boundary surface on the fiber also evolves to include the changing morphology due to particle deposition. The simulation method is validated for collection efficiencies and pressure drop of clean fiber. Brownian effects on particle accumulation were examined in terms of the Peclet number. Predictions of evolving particle-layered filter geometry showed a strong effect of carrier-gas convection on the extent and the morphology of the particle accumulation, which, in turn affected the morphology of the filter. This strong interaction between the carrier-gas convection and the filter membrane causes more active particle accumulation, and thus at all Peclet numbers examined with carrier-gas convection yielded higher collection efficiencies, but with a higher pressure drop.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. K. R. Spurny, Advances in aerosol filtration, Lewis Publishers (1997).

    Google Scholar 

  2. R. C. Brown, Air filtration: an integrated approach to the theory and applications of fibrous filters, Pergamon Press (1989).

    Google Scholar 

  3. W. C. Hinds, Aerosol technology: Properties, behavior, and measurement of airborne particles, Wiley & Sons (1999).

    Google Scholar 

  4. S. Kuwabara, The forces experienced by randomly distributed parallel circular cylinders or spheres in a viscous flow at small Reynolds numbers, Journal of the physical society of Japan, 14 (1959) 527–532.

    Article  MathSciNet  Google Scholar 

  5. H. C. Yeh, A fundamental study of aerosol filtration by fibrous filters, Ph.D. Dissertation, Mech. Eng. Dept., University of Minesota, Minneapolis (1972).

    Google Scholar 

  6. C. E. Billings, Effect of particle accumulation in aerosol filtration, Ph.D. Dissertation, Calif. Inst. Of Technol., Pasadena (1966).

    Google Scholar 

  7. C. Tien, Chanlike formation of particle deposits in fluidparticle separation, Science, 27 (1977) 983–985.

    Article  Google Scholar 

  8. C. Kanaoka, H. Emi, and W. Tanthapanichakoon, Convective diffusional deposition and collection efficiency of aerosol on a dust-loaded fiber, AIChE Journal, 29 (1983), 895–902.

    Article  Google Scholar 

  9. Y. W. Jung and C. Tien, Simulation of Aerosol Deposition in Granular Media, Aerosol Science and Technology, 18 (1993) 418–440.

    Article  Google Scholar 

  10. A. Karadimos and R. Ocone, The effect of the flow field recalculation on fibrous filter loading: a numerical simulation, Powder Technology, 137 (2003) 109–119.

    Article  Google Scholar 

  11. S. A. Hosseini and H. V. Tafreshi, Modeling particleloaded single fiber efficiency and fiber drag using ANSYSFluent CFD code, Computers & Fluids, 66 (2012) 157–166.

    Article  Google Scholar 

  12. A. M. Saleh, S. A. Hosseini, H. V. Tafreshi and B. Pourdeyhimi, 3-D microscale simulation of dust-loading in thin flatsheet filters: a comparision with 1-D macroscale simulations, Chemical Engineering Science, 99 (2013) 284–291.

    Article  Google Scholar 

  13. F. Qian, N. Huang, X. Zhu and J. Lu, Numerical study of the gas-solid flow characteristic of fibrous media based on SEM using CFD-DEM, Computers & Fluids, 66 (2013) 157–166.

    Google Scholar 

  14. O. Fillippova and D. Hänel, Lattice-Boltzmann simulation of gas-particle flow in filters, Computers & Fluids, 7 (1997) 697–712.

    Article  Google Scholar 

  15. R. Przekop, A. Moskal and L. Gradon, Lattice-Boltzmann approach for description of the structure of deposited particulate matter in fibrous filters, Journal of Aerosol Science, 34 (2003) 133–147.

    Article  Google Scholar 

  16. U. Lantermann and D. Hänel, Particle monte carlo and lattice-Boltzmann methods for simulations of gas-particle flows, Computers & Fluids, 36 (2007) 407–422.

    Article  MATH  Google Scholar 

  17. P. L. Bhatnagar, E. P. Gross and M. Krook, A model for collision processes in gases. I: Small amplitude processes in charged and neutral one-component system, Physical Review, 94 (1954) 511–525.

    Article  MATH  Google Scholar 

  18. X. He and L. S. Luo, Theory of the lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation, Physical Review E, 56 (1997) 6811–6817.

    Article  Google Scholar 

  19. X. He and L. S. Luo, A priori derivation of the lattice Boltzmann equation, Physical Review E, 55 (1997) 6333–66336.

    Article  Google Scholar 

  20. X. He and L. S. Luo, Lattice Boltzmann model for the imcompressible Navier-Stokes equation, Journal of Statistical Physics, 88 (1997) 927–944.

    Article  MathSciNet  MATH  Google Scholar 

  21. S. Chandrasekhar, Stochastic problems in physics and astronomy, Review of Modern Physics, 15 (1943).

    Google Scholar 

  22. Y. W. Oh, K. J. Jeon, A. I. Jung and Y. W. Jung, A Simulation Study on the Collection of Submicron Particles in a Unipolar Charged Fiber, Aerosol Science and Technology, 36 (2002) 573–582.

    Article  Google Scholar 

  23. D. Gupta and M. H. Peters, A Brownian dynamics simulation of aerosol deposition onto spherical collectors, Journal of Colloid and Interface Science, 104 (1985) 375–389.

    Article  Google Scholar 

  24. T. Zarutskaya and M. Shapiro, Capture of nanoparticles by magnetic filters, Journal of Aerosol Science, 31 (2000) 907–921.

    Article  Google Scholar 

  25. K. W. Lee and M. Ramamurthi, Aerosol measurement: principles, techniques, and applications, Van Nostrand Reinhold, New York (1993).

    Google Scholar 

  26. H. C. Yeh and B. Y. H. Liu, Aerosol filtration by fibrous filters, Journal of aerosol science, 5 (1974) 191–217.

    Article  Google Scholar 

  27. A. A. Kirsch and N. A. Fuchs, Study of fibrous filters-III: diffusional deposition of aerosols in fibrous filters, Ann. Occup. Hyg., 111 (1968) 299–304.

    Article  Google Scholar 

  28. C. N. Davies, Air filtration, Academic press, London (1973).

    Google Scholar 

  29. R. Mei, L. Luo and W. Shyy, An accurate curved boundary treatment in the lattice Boltzmann method, Journal of Computational Physics, 155 (1999) 307–330.

    Article  MATH  Google Scholar 

  30. O. Filippova and D. Hänel, Grid refinement for lattice-BGK models, J. Comput. Phys., 147 (1998) 219.

    Article  MATH  Google Scholar 

  31. T. Miyagi, Viscous flow at low Reynolds numbers past an infinite row of equal circular cylinders, Journal of the Physical Society of Japan, 13 (1958) 493–496.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mechanical Engineering, Yonsei University, Seoul, 120-749, Korea

    Jonggeun Bang & Woongsup Yoon

Authors
  1. Jonggeun Bang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Woongsup Yoon
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Woongsup Yoon.

Additional information

Recommended by Associate Editor Suk Goo Yoon

Jonggeun Bang is a graduate student of mechanical engineering at Yonsei University. His current interests include filtration of particle, particle packing and combustion of solid propellant.

Woongsup Yoon is an associate professor in the department of mechanical engineering of Yonsei University. His current interests include combustion of metal particle, and combustion system of metal fuel.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bang, J., Yoon, W. Stochastic analysis of a collection process of submicron particles on a single fiber accounting for the changes in flow field due to particle collection. J Mech Sci Technol 28, 3719–3732 (2014). https://doi.org/10.1007/s12206-014-0833-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-014-0833-8

Keywords

Search

Navigation