Skip to main content
SpringerLink
Log in

Gas flow in a layer of chains formed from permeable clusters of nanoparticles

  • Published:
Colloid Journal Aims and scope Submit manuscript

Abstract

The Stokes–Brinkman flow field has been calculated in a model deposit, i.e., a row of parallel chains formed from porous spherical clusters of nanoparticles and oriented perpendicularly to the gas flow direction. The force of drag to an air flow has been calculated for the row of chains taking into account their permeability and the distance to neighboring chains. The drag forces have been found for nanodendrites composing clusters with allowance for the gas slip effect. Corresponding approximation formulas have been derived. A method has been proposed for calculating the pressure drop across a highly porous deposit of clusters of aerosol nanoparticles deposited onto a filter.

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. Aerosol Handbook: Measurement, Dosimetry and Health Effects, Ruzer, L.S. and Harley, N.H., Eds., Boca Raton CRC, 2013.

  2. Fu, T.H., Cheng, M.T., and Shaw, D.T., Aerosol Sci. Technol., 1990, vol. 13, p. 151.

    Article  Google Scholar 

  3. Benarie, M.M., Ponroy, I., and Avy, A., Staub-Reinhalt. Luft, 1966, vol. 26, p. 298.

    Google Scholar 

  4. Kirsch, A.A. and Lahtin, I.B., J. Colloid Interface Sci., 1975, vol. 52, p. 270.

    Article  Google Scholar 

  5. Kirsh, A.A. and Fuks, N.A., Kolloidn. Zh., 1967, vol. 29, p. 682.

    CAS  Google Scholar 

  6. Mijagi, T., J. Phys. Soc. Jpn., 1959, vol. 13, p. 493.

    Article  Google Scholar 

  7. Sangani, A.S. and Acrivos, A., Int. J. Multiphase Flow, 1982, vol. 8, p. 193.

    Article  CAS  Google Scholar 

  8. Kirsh, V.A., Teor. Osn. Khim. Tekhnol., 2006, vol. 40, p. 501.

    Google Scholar 

  9. Stechkina, I.B., Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, 1979, no. 6, p. 122.

    Google Scholar 

  10. Kirsch, A.A., Stechkina, I.B., and Fuchs, N.A., J. Colloid Interface Sci., 1971, vol. 37, p. 458.

    Article  Google Scholar 

  11. Albertoni, S., Cercignani, C., and Gotusso, L., Phys. Fluids, 1963, vol. 6, p. 993.

    Article  Google Scholar 

  12. Kirsch, A.A., Stechkina, I.B., and Fuchs, N.A., J. Aerosol Sci., 1973, vol. 4, p. 287.

    Article  Google Scholar 

  13. Roldughin, V.I., Kirsh, A.A., and Emel’yanenko, A.M., Colloid J., 1999, vol. 61, p. 492.

    CAS  Google Scholar 

  14. Chernyakov, A.L., Doctoral (Phys.-Math.) Dissertation, Moscow Karpov Institute of Physical Chemistry, 2001.

    Google Scholar 

  15. Happel, J., AIChE J., 1958, vol. 4, p. 197.

    Article  CAS  Google Scholar 

  16. Kuwabara, S., J. Phys. Soc. Jpn., 1959, vol. 14, p. 527.

    Article  Google Scholar 

  17. Neale, G., Epstein, N., and Nader, W., Chem. Eng. Sci., 1973, vol. 28, p. 1865.

    Article  CAS  Google Scholar 

  18. Davis, R.H. and Stone, H.A., Chem. Eng. Sci., 1993, vol. 48, p. 3993.

    Article  CAS  Google Scholar 

  19. Lee, K.W., Reed, L.D., and Gieseke, J.A., J. Aerosol Sci., 1978, vol. 9, p. 557.

    Article  Google Scholar 

  20. Pich, J., in Filtration Principles and Practices, Matteson, M.J. and Orr, C., Eds., New York: Marcel Dekker, 1987, p. 1.

  21. Kirsh, V.A., Colloid J., 2006, vol. 68, p. 173.

    Article  CAS  Google Scholar 

  22. Brinkman, H.C., Appl. Sci. Res., Ser. A, 1949, vol. 1, p. 27.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, Leninskii pr. 31, Moscow, 119071, Russia

    V. A. Kirsh

Authors
  1. V. A. Kirsh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. A. Kirsh.

Additional information

Original Russian Text © V.A. Kirsh, 2016, published in Kolloidnyi Zhurnal, 2016, Vol. 78, No. 5, pp. 571–577.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kirsh, V.A. Gas flow in a layer of chains formed from permeable clusters of nanoparticles. Colloid J 78, 616–622 (2016). https://doi.org/10.1134/S1061933X16050082

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1061933X16050082

Search

Navigation