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Foundations of Fluid Mechanics with Applications

Problem Solving Using Mathematica®

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

Part of the Modern Birkhäuser Classics book series (MBC)

Table of contents

  1. Front Matter
    Pages i-xvi
  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 is a branch of science dealing with the study of flows of continua under the action of external forces.  It has a rich history and unchanging core of materials, but is constantly expanding and evolving as new methods, applications, and computational tools are developed.

This text presents the basic concepts and methods of fluid mechanics, including Lagrangian and Eulerian descriptions, tensors of stresses and strains, continuity, momentum, energy, thermodynamics laws, and similarity theory.  The models and their solutions are presented within a context of the mechanics of multiphase media.  The treatment fully utilizes the computer algebra and software system Mathematica® to both develop concepts and help the reader to master modern methods of solving problems in fluid mechanics.

Topics and features:
  • Glossary of over thirty Mathematica® computer programs
  • Exte
nsive, self-contained appendix of Mathematica® functions and their use
  • Chapter coverage of mechanics of multiphase heterogeneous media
  • Detailed coverage of theory of shock waves in gas dynamics
  • Thorough discussion of aerohydrodynamics of ideal and viscous fluids and gases
  • Complete worked examples with detailed solutions
  • Problem-solving approach
  • Foundations of Fluid Mechanics with Applications is a complete and accessible text or reference for graduates and professionals in mechanics, applied mathematics, physical sciences, materials science, and engineering.  It is an essential resource for the study and use of modern solution methods for problems in fluid mechanics and the underlying mathematical models.  The present, softcover reprint is designed to make this classic textbook available to a wider audience.

    Reviews

    The book
    is well written, and every topic has a rigorous treatment from the mathematical point of view. It is very easy to move through the book since an initial index and a good final subject index are given… This reviewer certainly recommends the purchase of [this book], since it contains a lot of interesting material not commonly found in usual textbooks.

    -- Applied Mechanics Review

    [This book] is a complete and accessible text/reference for graduates and professionals in mechanics, applied mathematics, physical sciences, materials science, and engineering. It is an essential resource for the study and use of modern solution methods for problems in fluid mechanics and the underlying mathematical models.

    -- Analele Stiintifice

    Keywords

    Fluid Mechanics Mechanics of Multiphase Media Continuum Mechanics Shock waves Aerohydrodynamics

    Authors and affiliations

    • Sergey P. Kiselev
      • 1
    • Evgenii V. Vorozhtsov
      • 2
    • Vasily M. Fomin
      • 2
    1. 1.Novosibirsk State UniversityNovosibirskRussia
    2. 2.Novosibirsk National Research UniversityNovosibirskRussia

    Bibliographic information

    • DOI https://doi.org/10.1007/978-3-319-66149-0
    • Copyright Information Springer International Publishing AG 2017
    • Publisher Name Birkhäuser, Cham
    • eBook Packages Mathematics and Statistics
    • Print ISBN 978-3-319-66148-3
    • Online ISBN 978-3-319-66149-0
    • Series Print ISSN 2197-1803
    • Series Online ISSN 2197-1811
    • Buy this book on publisher's site