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

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. For more information see https://ejde.math.txstate.edu/Volumes/2021/74/abstr.html