Skip to main content
SpringerLink
Log in

The Effect of Barodiffusion on the Distribution of Biological Fluid Velocity and Concentration During Filtration Through a Cylindrical Layer

  • Published:
Russian Physics Journal Aims and scope

A model of filtration of a biological fluid for a cylindrical layer in a stationary regime is presented. The model takes into consideration finite compressibility and concentration expansion associated with barodiffusion. Dimensionless complexes relating characteristic physical scales of different phenomena are singled out. The influence of the revealed effects on the flow characteristics are studied numerically. The flow can be either convective or diffusive, depending on the relation between the dimensionless complexes. New qualitative relationships are distinguished in the component concentration and flow velocity distributions. A significant influence of the thickness of the porous cylinder wall is shown. It is found out that barodiffusion has a significant effect on the flow in the convective mode and a small cylinder wall thickness.

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. D. A. Nield and A. Bejan, Convection in Porous Media, Springer, N.Y. (2013).

    MATH  Google Scholar 

  2. B. P. Sharfarets and V. E. Kurochkin, Nauchn. Priborostroyeniye, 25, No.4, 43–55 (2015).

    Google Scholar 

  3. A. A. Avramenko, Yu.Yu. Kovetska, I. V. Shevchuk, et al., Transport in Porous Media, 124, Iss. 3, 919–941 (2018).

    MathSciNet  Google Scholar 

  4. S. Siddiqa, S. B. Naqvi, and M. A. Hossain, Int. J. Mech. Sci., 157–158, 668–676, (2019).

  5. N. N. Nazarenko, A. G. Knyazeva, E. V. Legostaeva, et al., 62, No. 8, xx–xx (2019).

  6. A. G. Knyazeva and Yu. A. Chumakov, AIP Conf. Proc., 2051, 125–129 (2018).

    Google Scholar 

  7. M. Dejam, Int. J. Heat Mass Transfer, 128, 1307–1321 (2019).

    Google Scholar 

  8. A. G. Knyazeva, IOP Conf. Series: J. Phys.: Conf. Series, 1128, 012036-1–012036-5 (2015).

    Google Scholar 

  9. N. N. Nazarenko and A. G. Knyazeva, AIP Conf. Proc., 2167, 020240-1–020240-5 (2019).

    Google Scholar 

  10. N. S. Shabrykin, Ross. Zhurn. Biomekh., 9, No. 3, 70–88 (2005).

    Google Scholar 

  11. Yu. P. Sharkeev, S. G. Psahie, E.V. Legostaeva, et al., Biocomposites Based on Calcium-Phosphate Coatings, Nanostructured and Ultrafine-Grained Bioinert Metals, their Compatibility and Biodegradation [in Russian] (Ed. N.Z. Lyakhov), TSU Publ. House (2014).

  12. A. K. Kikoin and I. K. Kikoin, Кикоин А. К., Кикоин И. К. A General Course of Physics. Molecular Physics [in Russian], Mir, Moscow (1976).

  13. I. Prigogine and R. Defay, Chemical Thermodynamics, Longman, London (1967).

    Google Scholar 

  14. A. G. Knyazeva, An Introduction into the Locally-Equilibrium Thermodynamics of Physical-Chemical Transformations in Deformed Media [in Russian], Tomsk Uni. Publ., Tomsk (1997).

Download references

Author information

Authors and Affiliations

  1. Institute of Strength Physics and Materials Science of the Siberian Branch of the Russian Academy of Sciences, Tomsk, Russia

    N. N. Nazarenko

Authors
  1. N. N. Nazarenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to N. N. Nazarenko.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 45–49, May, 2020.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nazarenko, N.N. The Effect of Barodiffusion on the Distribution of Biological Fluid Velocity and Concentration During Filtration Through a Cylindrical Layer. Russ Phys J 63, 759–764 (2020). https://doi.org/10.1007/s11182-020-02095-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-020-02095-3

Keywords

Search

Navigation