Estimates of characteristics of a micropolar flow passing through an axially symmetric cell
Texas State University, Department of Mathematics
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.
Micropolar fluid flow, Porous medium, Weak solution
Koroleva, Y. O., & Khanukaeva, D. Y. (2021). Estimates of characteristics of a micropolar flow passing through an axially symmetric cell. <i>Electronic Journal of Differential Equations, 2021</i>(74), pp. 1-16.