Foundations of Fluid Mechanics with Applications
Problem Solving Using Mathematica®
Authors: Kiselev, Sergey P., Vorozhtsov, Evgenii V., Fomin, Vasily M.
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- Rigorous treatment of each topic from a mathematical point of view
- Contains a lot of interesting material not commonly found in similar textbooks
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- About this Textbook
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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
- 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.
- Glossary of over thirty Mathematica® computer programs
- About the authors
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Sergey P. Kiselev, Novosibirsk National Research University, Russia
Evgenii V. Vorozhtsov, Novosibirsk National Research University, Russia
Vasily M. Fomin, Novosibirsk National Research University, Russia
- Table of contents (7 chapters)
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Definitions of Continuum Mechanics
Pages 1-74
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Fundamental Principles and Laws of Continuum Mechanics
Pages 75-153
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The Features of the Solutions of Continuum Mechanics Problems
Pages 155-185
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Ideal Fluid
Pages 187-266
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Viscous Fluid
Pages 267-310
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Table of contents (7 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Foundations of Fluid Mechanics with Applications
- Book Subtitle
- Problem Solving Using Mathematica®
- Authors
-
- Sergey P. Kiselev
- Evgenii V. Vorozhtsov
- Vasily M. Fomin
- Series Title
- Modern Birkhäuser Classics
- Copyright
- 2017
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer International Publishing AG
- eBook ISBN
- 978-3-319-66149-0
- DOI
- 10.1007/978-3-319-66149-0
- Softcover ISBN
- 978-3-319-66148-3
- Series ISSN
- 2197-1803
- Edition Number
- 1
- Number of Pages
- XVI, 575
- Number of Illustrations
- 177 b/w illustrations, 1 illustrations in colour
- Topics