Homogenization of a submerged two-level bristle structure for modeling in biotechnology

Homogenization of a submerged two-level bristle structure for modeling in biotechnology Научная публикация

Журнал

Сибирские электронные математические известия / Siberian Electronic Mathematical Reports
ISSN: 1813-3304

Вых. Данные

Год: 2020, Том: 17, Страницы: 1359-1450 Страниц : 92 DOI: 10.33048/semi.2020.17.100

Ключевые слова

homogenization, periodic structure, compressible fluid, elastic solid, Navier-Stokes equations, Lame's equations, biotechnology, bionics

Авторы

Sazhenkov S.A. ^1,2 , Sazhenkova E.V. ³

Организации

1	Lavrentyev Institute of Hydrodynamics
2	Altai State University
3	Novosibirsk State University of Economics and Management

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.

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

Поступила в редакцию:	29 апр. 2020 г.
Опубликована online:	14 сент. 2020 г.

Web of science:	WOS:000575245100001
Scopus:	2-s2.0-85099399273
РИНЦ:	44726611
OpenAlex:	W3116641473

БД	Цитирований
Scopus	1
OpenAlex	1
РИНЦ	3
Web of science	1