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

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.

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References

  1. 1.

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

    Google Scholar 

  2. 2.

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

    Google Scholar 

  3. 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. 4.

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

  5. 5.

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

  6. 6.

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

    Google Scholar 

  7. 7.

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

    Google Scholar 

  8. 8.

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

    Google Scholar 

  9. 9.

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

    Google Scholar 

  10. 10.

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

    Google Scholar 

  11. 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. 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. 13.

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

    Google Scholar 

  14. 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).

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Correspondence to N. N. Nazarenko.

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

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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

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Keywords

  • filtration
  • diffusion
  • convective and diffusive flow regimes
  • barodiffusion