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Foundations of Fluid Mechanics with Applications

Problem Solving Using Mathematica®

  • Textbook
  • © 2017

Overview

Authors:
  1. Sergey P. Kiselev

    1. Novosibirsk State University, Novosibirsk, Russia

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  2. Evgenii V. Vorozhtsov

    1. Novosibirsk National Research University, Novosibirsk, Russia

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  3. Vasily M. Fomin

    1. Novosibirsk National Research University, Novosibirsk, Russia

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  • Affordable, softcover reprint of a classic textbook?
  • Rigorous treatment of each topic from a mathematical point of view
  • Contains a lot of interesting material not commonly found in similar textbooks

Part of the book series: Modern Birkhäuser Classics (MBC)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Definitions of Continuum Mechanics

    • Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 1-74

  3. Fundamental Principles and Laws of Continuum Mechanics

    • Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 75-153

  4. The Features of the Solutions of Continuum Mechanics Problems

    • Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 155-185

  5. Ideal Fluid

    • Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 187-266

  6. Viscous Fluid

    • Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 267-310

  7. Gas Dynamics

    • Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 311-400

  8. Multiphase Media

    • Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
    Pages 401-525

  9. Back Matter

    Pages 526-575
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Keywords

About this book

This textbook 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
  • Extensive, 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 fluidsan

d 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.




    Authors and Affiliations

    • Novosibirsk State University, Novosibirsk, Russia

      Sergey P. Kiselev

    • Novosibirsk National Research University, Novosibirsk, Russia

      Evgenii V. Vorozhtsov, Vasily M. Fomin

    About the authors

    Sergey P. Kiselev, Novosibirsk National Research University, Russia

    Evgenii V. Vorozhtsov, Novosibirsk National Research University, Russia


    Vasily M. Fomin, Novosibirsk National Research University, Russia

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