Homogenization of the Equations of Filtration of a Viscous Fluid in Two Porous Media
- Authors: Meirmanov A.M.1, Gritsenko S.A.2
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Affiliations:
- Belgorod State University
- National Research University, Moscow Power Engineering Institute
- Issue: Vol 59, No 5 (2018)
- Pages: 909-921
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172062
- DOI: https://doi.org/10.1134/S0037446618050154
- ID: 172062
Cite item
Abstract
A homogenized model of filtration of a viscous fluid in two domains with common boundary is deduced on the basis of the method of two-scale convergence. The domains represent an elastic medium with perforated pores. The fluid, filling the pores, is the same in both domains, and the properties of the solid skeleton are distinct.
About the authors
A. M. Meirmanov
Belgorod State University
Author for correspondence.
Email: anvarbek@list.ru
Russian Federation, Belgorod
S. A. Gritsenko
National Research University, Moscow Power Engineering Institute
Email: anvarbek@list.ru
Russian Federation, Moscow