Electron. J. Differential Equations, Vol. 2021 (2021), No. 74, pp. 1-16.
Estimates of characteristics of a micropolar flow passing through an
axially symmetric cell
Yulia O. Koroleva, Daria Yu. Khanukaeva
Abstract:
We study a model for the filtration of micropolar fluid in the framework of a cell model
technique. A porous medium is presented as an assemblage of axially symmetric cells
of an arbitrarily geometry. Each cell consists of a solid core, porous layer and liquid shell.
The influence of the neighboring cells is taken into account via Cunningham's-type boundary
condition. We derive a priori estimates for flow characteristics which show the behavior
of the velocity filed. The boundedness of velocity filed is justified by the derived estimates.
Submitted March 17, 2021. Published September 11, 2021.
Math Subject Classifications: 76D03, 76D07, 76D10, 76S99.
Key Words: Micropolar fluid flow; porous medium; weak solution.
DOI: https://doi.org/10.58997/ejde.2021.74
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Yulia O. Koroleva
Department of High Mathematics
Russian Gubkin State University of Oil and Gas
Moscow & HSE University, Moscow, Russia
email: koroleva.y@gubkin.ru
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Daria Yu. Khanukaeva
Department of High Mathematics
Russian Gubkin State University of Oil and Gas, Moscow, Russia
email: khanuk@yandex.ru
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