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Foundations of Fluid Mechanics with Applications

Problem Solving Using Mathematica®

  • Sergey P. Kiselev
  • Evgenii V. Vorozhtsov
  • Vasily M. Fomin

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 1-74
  3. Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 75-153
  4. Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 155-185
  5. Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 187-266
  6. Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 267-310
  7. Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 311-400
  8. Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 401-525
  9. Back Matter
    Pages 526-575

About this book

Introduction

Fluid mechanics (FM) is a branch of science dealing with the investi­ gation of flows of continua under the action of external forces. The fundamentals of FM were laid in the works of the famous scientists, such as L. Euler, M. V. Lomonosov, D. Bernoulli, J. L. Lagrange, A. Cauchy, L. Navier, S. D. Poisson, and other classics of science. Fluid mechanics underwent a rapid development during the past two centuries, and it now includes, along with the above branches, aerodynamics, hydrodynamics, rarefied gas dynamics, mechanics of multi phase and reactive media, etc. The FM application domains were expanded, and new investigation methods were developed. Certain concepts introduced by the classics of science, however, are still of primary importance and will apparently be of importance in the future. The Lagrangian and Eulerian descriptions of a continuum, tensors of strains and stresses, conservation laws for mass, momentum, moment of momentum, and energy are the examples of such concepts and results. This list should be augmented by the first and second laws of thermodynamics, which determine the character and direction of processes at a given point of a continuum. The availability of the conservation laws is conditioned by the homogeneity and isotrop­ icity properties of the Euclidean space, and the form of these laws is related to the Newton's laws. The laws of thermodynamics have their foundation in the statistical physics.

Keywords

Profil aerodynamics algorithm continuum mechanics development differential equation dynamics fluid mechanics mechanics model partial differential equation physics problem solving science thermodynamics

Authors and affiliations

  • Sergey P. Kiselev
    • 1
  • Evgenii V. Vorozhtsov
    • 1
  • Vasily M. Fomin
    • 1
  1. 1.Institute of Theoretical and Applied MechanicsRussian Academy of SciencesNovosibirskRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1572-1
  • Copyright Information Birkhäuser Boston 1999
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7198-7
  • Online ISBN 978-1-4612-1572-1
  • Series Print ISSN 2164-3679
  • Buy this book on publisher's site
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