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Tortuosity-porosity relation in porous media flow
Open accessAbstract
We study numerically the tortuosity-porosity relation in a microscopic model of a porous medium arranged as a collection of freely overlapping squares. It is demonstrated that the finite-size, slow relaxation and discretization errors, which were ignored in previous studies, may cause significant underestimation of tortuosity. The simple tortuosity calculation method proposed here eliminates the need for using complicated, weighted averages. The numerical results presented here are in good agreement with an empirical relation between tortuosity (T) and porosity (varphi) given by T-1 proportional, variantlnvarphi , that was found by others experimentally in granule packings and sediments. This relation can be also written as T-1 proportional, variantRSvarphi with R and S denoting the hydraulic radius of granules and the specific surface area, respectively. Applicability of these relations appears to be restricted to porous systems of randomly distributed obstacles of equal shape and size.
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Cites
Bruggeman, D. A. G. (1935) · Annalen der Physik · doi:10.1002/andp.19354160705 · Cited by 8,645
Cited by
Cai, J., Perfect, E., Cheng, C.-L., & Hu, X. (2014) · Langmuir · doi:10.1021/la5007204 · Cited by 607
Tortuosity of porous media: Image analysis and physical simulation
Fu, J., Thomas, H. R., & Li, C. (2021) · Earth-Science Reviews · doi:10.1016/j.earscirev.2020.103439 · Cited by 292
Review on the structure of random packed‐beds
von Seckendorff, J., & Hinrichsen, O. (2021) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.23959 · Cited by 110
Ma, L., Barker, J., Zhou, C., Li, W., Zhang, J., Lin, B., Foltz, G., Küblbeck, J., & Honkakoski, P. (2012) · Biomaterials · doi:10.1016/j.biomaterials.2012.02.054 · Cited by 83
Metadata
- Authors
- Matyka, M., Khalili, A., & Koza, Z.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2008-08-25
- Volume
- 78
- Issue
- 2
- Pages
- 026306-026306
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2104039052
- Cited by
- 480
- References
- 1
- FWCI
- 8.75
- Type
- journal article
- Language
- en
- Open access
- green
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