Isothermal Flows of Micropolar Liquids: Formulation of Problems and Analytical Solutions

Abstract

Models for flows of a non-Newtonian liquid have been considered within the framework of the micropolar theory. Different forms of constitutive equations and boundary conditions have been compared. Available analytical solutions and possible applications of the micropolar theory have been reviewed. A mechanically substantiated formulation of the problem relevant to the flow of a micropolar liquid in a Brinkman porous medium has been considered. Formulations of the boundary problem have been proposed for a micropolar liquid flowing in a porous cell.