Estimates of characteristics of a micropolar flow passing through an axially symmetric cell
Date
2021-09-11
Authors
Koroleva, Yulia
Khanukaeva, Daria
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Micropolar fluid flow, Porous medium, Weak solution
Citation
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.
Rights
Attribution 4.0 International