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Estimates of characteristics of a micropolar flow passing through an axially symmetric cell

Electronic Journal of Differential Equations. 2021. Vol. 2021. No. 74. P. 1–16.
Koroleva Y., Khanukaeva D.

 We study a model problem on 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 apriori estimates for flow characteristics which show the behavior of the velocity filed. The boundedness of velocity filed is justified by the derived estimates.

Research target: Mathematics
Language: English
Text on another site
Keywords: пористая средаweak solutions porous mediumслабое решениеmicropolar fluid flowмикрополярная жидкость
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