Skip to main content
Log in

Fluctuating electric fields in electret gas filters

  • Published:
Colloid Journal Aims and scope Submit manuscript

Abstract

Distribution functions of electric fields fluctuating in the vicinity of charged fibers have been calculated under the assumption of a random distribution of charges on a fiber surface. It has been shown that, at a distance of a few radii from the axis of a cylindrical fiber, the distribution function of electric field components has a Gaussian form. When approaching the fiber surface, the variance of the electric fields diverges, while the distribution function deviates from the normal law. Weakly decreasing tails arise in the probability density function at high field strengths. It has been shown that, on the fiber surface, the probability density function of the electric field component directed along the axis is described by the Cauchy distribution. The distribution of fields generated by a system of randomly located and randomly oriented charged or neutral fibers with dipole moments distributed along them has been studied. It has been shown that fluctuating electric fields can increase the filtration efficiency of electret filters.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Eguchi, M., Philos. Mag., 1925, vol. 49, p. 178.

    Article  Google Scholar 

  2. Gubkin, A.N., Elektrety (Electrets), Moscow: Nauka, 1978.

    Google Scholar 

  3. Electrets, Sessler, G., Ed., Heidelberg: Springer, 1980.

    Google Scholar 

  4. Van Turnnhout, J., Adamse, J.W.C., and Hoeneveld, W.J., J. Electrostat., 1980, vol. 8, p. 369.

    Article  Google Scholar 

  5. Basmanov, P.I., Kirichenko, V.N., Filatov, Yu.N., and Yurov, Yu.L., Vysokoeffektivnaya ochistka gazov ot aerozolei fil’trami Petryanova (Highly Efficient Gas Purification from Aerosols with the Petryanov Filters), Moscow: Nauka, 2002.

    Google Scholar 

  6. Electret Filters. Production and Properties, Stenhouse, J.I.T., Gradon, L., and Marijnissen, J.C.M., Delft: Delft Univ. Press, 1999.

    Google Scholar 

  7. Brown, R.C., Air Filtration: An Integrated Approach to the Theory and Applications of Fibrous Filters, Oxford: Pergamon, 1993.

    Google Scholar 

  8. Wang, C. and Otani, Y., Ind. Eng. Chem. Res., 2013, vol. 52, p. 5.

    CAS  Google Scholar 

  9. Holtsmark, J., Ann. Phys. (New York), 1919, vol. 58, p. 577.

    Google Scholar 

  10. Kogan, V.I., Lisitsa, V.S., and Sholin, G.V., Voprosy teorii plazmy (Problems of the Plasma Theory), Moscow: Energoatomizdat, 1984, vol. 13.

    Google Scholar 

  11. Chandrasekar, S., Stochastic Problems in Physics and Astronomy, Rev. Mod. Phys., 1943, vol. 15. p. 1.

    Google Scholar 

  12. Gradshtein, I.S. and Ryzhik, I.M., Tablitsy integralov summ, ryadov i proizvedenii (Tables of Integrals of Sums, Series and Products), Moscow: Nauka, 1971.

    Google Scholar 

  13. Wesenberg, J.H. and Molmer, K., Phys. Rev. Lett., 2004, vol. 93, p. 143903.

    Article  Google Scholar 

  14. Prudnikov, A.P., Brychkov, Yu.A., and Marichev, O.I., Integraly i ryady. Elementarnye funktsii (Integrals and Series. Elementary Functions), Moscow: Nauka, 1981.

    Google Scholar 

  15. Levi, P., Stokhasticheskie protsessy i brounovskoe dvizhenie (Stochastic Processes and Brownian Movement), Moscow: Nauka, 1972.

    Google Scholar 

  16. Gnedenko, B.V. and Kolmogorov, A.N., Predel’nye raspredeleniya dlya summ nezavisimykh sluchainykh velichin (Limit Distributions for Sums of Independent Random Variables), Moscow: Gostekhizdat, 1949.

    Google Scholar 

  17. Bouchaud, J.-P. and Georges, A., Phys. Rep., 1990, vol. 195, p. 127.

    Article  Google Scholar 

  18. Uchaikin, V.V. and Zolotarev, V.M., Chance and Stability, Stable Distributions and Their Applications, Utrecht: VSP, 1999.

    Book  Google Scholar 

  19. Santalo, L.A., Integral Geometry and Geometric Probability, Reading: Addison-Wesley, 1976.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. L. Chernyakov.

Additional information

Original Russian Text © A.L. Chernyakov, 2015, published in Kolloidnyi Zhurnal, 2015, Vol. 77, No. 2, pp. 244–257.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chernyakov, A.L. Fluctuating electric fields in electret gas filters. Colloid J 77, 231–243 (2015). https://doi.org/10.1134/S1061933X15020052

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1061933X15020052

Keywords

Navigation