Slow Viscous Flow

  • William E. Langlois
  • Michel O. Deville

Table of contents

  1. Front Matter
    Pages i-xv
  2. William E. Langlois, Michel O. Deville
    Pages 1-18
  3. William E. Langlois, Michel O. Deville
    Pages 19-79
  4. William E. Langlois, Michel O. Deville
    Pages 81-104
  5. William E. Langlois, Michel O. Deville
    Pages 105-143
  6. William E. Langlois, Michel O. Deville
    Pages 145-157
  7. William E. Langlois, Michel O. Deville
    Pages 159-182
  8. William E. Langlois, Michel O. Deville
    Pages 183-211
  9. William E. Langlois, Michel O. Deville
    Pages 213-228
  10. William E. Langlois, Michel O. Deville
    Pages 229-249
  11. William E. Langlois, Michel O. Deville
    Pages 251-270
  12. William E. Langlois, Michel O. Deville
    Pages 271-292
  13. William E. Langlois, Michel O. Deville
    Pages 293-305
  14. Back Matter
    Pages 307-324

About this book

Introduction

Leonardo wrote, 'Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics' ; replace 'Mechanics' by 'Fluid mechanics' and here we are."
-    from the Preface to the Second Edition

Although the exponential growth of computer power has advanced the importance of simulations and visualization tools for elaborating new models, designs and technologies, the discipline of fluid mechanics is still large, and turbulence in flows remains a challenging problem in classical physics. Like its predecessor, the revised and expanded Second Edition of this book addresses the basic principles of fluid mechanics and solves fluid flow problems where viscous effects are the dominant physical phenomena.

Much progress has occurred in the nearly half a century that has passed since the edition of 1964. As predicted, aspects of hydrodynamics once considered offbeat have risen to importance. For example, the authors have worked on problems where variations in viscosity and surface tension cannot be ignored. The advent of nanotechnology has broadened interest in the hydrodynamics of thin films, and hydromagnetic effects and radiative heat transfer are routinely encountered in materials processing. This monograph develops the basic equations, in the three most important coordinate systems, in a way that makes it easy to incorporate these phenomena into the theory.

The book originally described by Prof. Langlois as "a monograph on theoretical hydrodynamics, written in the language of applied mathematics" offers considerable new coverage including the second principle of thermodynamics, Boussinesq approximation, time dependent flows, Marangoni convection, Kovasznay flow, plane periodic solutions, Hele-Shaw cells, Stokeslets, rotlets, finite element methods, Wannier flow, corner eddies, and analysis of the Stokes operator.

Keywords

analytical solutions finite elements fluid mechanics

Authors and affiliations

  • William E. Langlois
    • 1
  • Michel O. Deville
    • 2
  1. 1.San Jose City College Division of Science and MathematicsSan JoseUSA
  2. 2.Ecole Polytechnique Fédérale de LausanneLausanneSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-03835-3
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-03834-6
  • Online ISBN 978-3-319-03835-3
  • About this book