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Foundations of Fluid Mechanics with Applications: Problem Solving Using Mathematica®

✍ Scribed by Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin


Publisher
Birkhäuser Basel
Year
2017
Tongue
English
Leaves
588
Series
Modern Birkhäuser Classics
Edition
1
Category
Library

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✦ Synopsis


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 fluids an
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.

    ✦ Table of Contents


    Front Matter ....Pages i-xvi
    Definitions of Continuum Mechanics (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 1-74
    Fundamental Principles and Laws of Continuum Mechanics (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 75-153
    The Features of the Solutions of Continuum Mechanics Problems (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 155-185
    Ideal Fluid (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 187-266
    Viscous Fluid (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 267-310
    Gas Dynamics (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 311-400
    Multiphase Media (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 401-525
    Back Matter ....Pages 526-575

    ✦ Subjects


    Mathematical Applications in the Physical Sciences


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