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Micropolar Fluids

Theory and Applications

  • Book
  • © 1999

Overview

Authors:
  1. Grzegorz Łukaszewicz

    1. Institute of Applied Mathematics and Mechanics, University of Warsaw, Warsaw, Poland

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xv
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  2. Description of the Model

    1. Front Matter

      Pages 1-1
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    2. Ordinary and Polar Fluids

      • Grzegorz Łukaszewicz
      Pages 3-33

  3. Mathematical Analysis

    1. Front Matter

      Pages 35-35
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    2. Mathematical Preliminaries

      • Grzegorz Łukaszewicz
      Pages 37-57

    3. Stationary Problems

      • Grzegorz Łukaszewicz
      Pages 59-110

    4. Nonstationary Problems

      • Grzegorz Łukaszewicz
      Pages 111-178

  4. Application

    1. Front Matter

      Pages 179-179
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    2. Selected Applications

      • Grzegorz Łukaszewicz
      Pages 181-235

  5. Back Matter

    Pages 237-253
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Keywords

About this book

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.

Authors and Affiliations

  • Institute of Applied Mathematics and Mechanics, University of Warsaw, Warsaw, Poland

    Grzegorz Łukaszewicz

Bibliographic Information

  • Book Title: Micropolar Fluids

  • Book Subtitle: Theory and Applications

  • Authors: Grzegorz Łukaszewicz

  • Series Title: Modeling and Simulation in Science, Engineering and Technology

  • DOI: https://doi.org/10.1007/978-1-4612-0641-5

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1999

  • Hardcover ISBN: 978-0-8176-4008-8Published: 01 February 1999

  • Softcover ISBN: 978-1-4612-6851-2Published: 08 December 2012

  • eBook ISBN: 978-1-4612-0641-5Published: 06 December 2012

  • Series ISSN: 2164-3679

  • Series E-ISSN: 2164-3725

  • Edition Number: 1

  • Number of Pages: XV, 253

  • Topics: Engineering Fluid Dynamics, Engineering, general

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