Homogenization of a submerged two-level bristle structure for modeling in biotechnology Full article
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Сибирские электронные математические известия / Siberian Electronic Mathematical Reports
ISSN: 1813-3304 |
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| Output data | Year: 2020, Volume: 17, Pages: 1359-1450 Pages count : 92 DOI: 10.33048/semi.2020.17.100 | ||||||
| Tags | homogenization, periodic structure, compressible fluid, elastic solid, Navier-Stokes equations, Lame's equations, biotechnology, bionics | ||||||
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Abstract:
The effective macroscopic model describing reciprocal motion of viscous weakly compressible fluid and two-level hierarchical fine bristle-like elastic structure is derived from microstructure via the Allaire – Briane homogenization method. This new model naturally generalizes the well-known system constructed by K.-H. Hoffmann, N. Botkin and V. Starovoitov for description of fine periodic elastic structures in fluids (2005). In applications, the established model can be used, for example, in de\-scription of airflow near surface of plant's leaf, in simulation of epithelium surfaces of blood vessels, and in design of bio\-technological devices operating in liquids.
Cite:
Sazhenkov S.A.
, Sazhenkova E.V.
Homogenization of a submerged two-level bristle structure for modeling in biotechnology
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2020. V.17. P.1359-1450. DOI: 10.33048/semi.2020.17.100 WOS Scopus РИНЦ OpenAlex
Homogenization of a submerged two-level bristle structure for modeling in biotechnology
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2020. V.17. P.1359-1450. DOI: 10.33048/semi.2020.17.100 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Apr 29, 2020 |
| Published online: | Sep 14, 2020 |
Identifiers:
| Web of science: | WOS:000575245100001 |
| Scopus: | 2-s2.0-85099399273 |
| Elibrary: | 44726611 |
| OpenAlex: | W3116641473 |