<p>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.
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
No coin nor oath required. For personal study only.
✦ 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
✦ 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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