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Micropolar Fluids

Theory and Applications

  • Grzegorz Łukaszewicz

Table of contents

  1. Front Matter
    Pages i-xv
  2. Description of the Model

    1. Front Matter
      Pages 1-1
    2. Grzegorz Łukaszewicz
      Pages 3-33
  3. Mathematical Analysis

    1. Front Matter
      Pages 35-35
    2. Grzegorz Łukaszewicz
      Pages 37-57
    3. Grzegorz Łukaszewicz
      Pages 59-110
    4. Grzegorz Łukaszewicz
      Pages 111-178
  4. Application

    1. Front Matter
      Pages 179-179
    2. Grzegorz Łukaszewicz
      Pages 181-235
  5. Back Matter
    Pages 237-253

About this book

Introduction

Micropolar fluids are fluids with microstructure. They belong to a class of fluids with nonsymmetric stress tensor that we shall call polar fluids, and include, as a special case, the well-established Navier-Stokes model of classical fluids that we shall call ordinary fluids. Physically, micropolar fluids may represent fluids consisting of rigid, randomly oriented (or spherical) particles suspended in a viscous medium, where the deformation of fluid particles is ignored. The model of micropolar fluids introduced in [65] by C. A. Eringen is worth studying as a very well balanced one. First, it is a well-founded and significant generalization of the classical Navier-Stokes model, covering, both in theory and applications, many more phenomena than the classical one. Moreover, it is elegant and not too complicated, in other words, man­ ageable to both mathematicians who study its theory and physicists and engineers who apply it. The main aim 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 the theory of lubrication and the other in the theory of porous media, as well as several exact solutions of particular problems and a numerical method. We took pains to make the presentation both clear and uniform.

Keywords

Fluid Dynamics Mathematical Modeling Sensor fluid mechanics mathematics mechanics model porous media science

Authors and affiliations

  • Grzegorz Łukaszewicz
    • 1
  1. 1.Institute of Applied Mathematics and MechanicsUniversity of WarsawWarsawPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0641-5
  • Copyright Information Birkhäuser Boston 1999
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6851-2
  • Online ISBN 978-1-4612-0641-5
  • Series Print ISSN 2164-3679
  • Buy this book on publisher's site
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