Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 74, pp. 1-16.

Title: Estimates of characteristics of a micropolar flow passing through an
       axially symmetric cell
       
Authors: Yulia O. Koroleva (Russian Gubkin State Univ. of Oil and Gas, Moscow, Russia)
         Daria Yu. Khanukaeva (Russian Gubkin State Univ. of Oil and Gas, Moscow, Russia)

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.