Abstract
The problem of determination of permeability and effective viscosity for a porous medium composed of nanofibers for the Brinkman hydrodynamic model is solved. On the surface of nanofibers the slip condition is accepted. The results of calculations for a model porous medium formed by fibers of round and square cross-sections shapes are presented. It is shown, that the dependence of permeability on porosity for the Brinkman model coincides with the dependence of permeability on porosity in the Darcy model. It was found, that the values of permeability and effective viscosities of the Brinkman model are in good agreement with the found approximation dependence independent of the Knudsen number.
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ACKNOWLEDGMENTS
The author is grateful to Sh.Kh. Zaripov for helpful remarks.
Funding
The study was supported by the Russian Science Foundation grant no. 22-21-00176, https://rscf.ru/project/22-21-00176/.
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(Submitted by A. M. Elizarov)
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Mardanov, R.F. Determination of the Parameters of the Brinkman Model for a Porous Medium Composed of Nanofibers. Lobachevskii J Math 43, 2970–2976 (2022). https://doi.org/10.1134/S1995080222130303
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DOI: https://doi.org/10.1134/S1995080222130303