Foundations of Fluid Mechanics with Applications : Problem Solving Using Mathematica® / by Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin.

Format:

Book

Author/Creator:

Kiselev, S. P. (Sergeĭ Petrovich), Author.

Vorozhtsov, E. V. (Evgenii Vasilʹevich), 1946- Author.

Fomin, V. M., 1940- Author.

Series:

Modern Birkhäuser Classics, 2197-1811

Language:

English

Subjects (All):

Mathematical physics.

Mathematics--Data processing.

Mathematics.

Mathematical Physics.

Computational Science and Engineering.

Local Subjects:

Mathematical Physics.

Computational Science and Engineering.

Physical Description:

1 online resource (XVI, 575 p. 178 illus.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.

Summary:

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.

Contents:

Preface

Definitions of Continuum Mechanics

Fundamental Principles and Laws of Continuum Mechanics

The Features of the Solutions of Continuum Mechanics Problems

Ideal Fluid

Viscous Fluid

Gas Dynamics

Multiphase Media

References

Appendix A: Mathematica Functions

Appendix B: Glossary of Programs.

ISBN:

9783319661490

3319661493