06-05-2017, 09:06 AM
Micropolar fluids are microstructured fluids. They belong to a class of fluids with a non-symmetrical tensor that we will call polar fluids and include, as a special case, the well-established Navier-Stokes model of classical fluids that we will call ordinary fluids. Physically, micropolar fluids can represent fluids consisting of rigid, randomly oriented (or spherical) particles suspended in a viscous medium, where the deformation of the fluid particles is ignored. It is worth studying the model of micropolar fluids introduced by C. A. Eringen as very balanced. First, it is a well-founded and significant generalization of the classic Navier-Stokes model, which encompasses, in theory and in applications, many more phenomena than the classic one. On the other hand, it is elegant and not too complicated, in other words, the man susceptible of age for both mathematicians who study his theory and the physicists and engineers who apply it. The main objective of this book is to present the theory of micropolar fluids, in particular its mathematical theory, to a wide range of readers. The book also presents two applications of micropolar fluids, one in lubrication theory and the other in porous media theory, as well as several exact solutions to particular problems and a numerical method. We strive to make the presentation clear and uniform.