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

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

Overview

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.

Product Details

ISBN-13:	9783319661483
Publisher:	Springer International Publishing
Publication date:	11/03/2017
Series:	Modern Birkhäuser Classics
Edition description:	1st ed. 2017
Pages:	575
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

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

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.

Editorial Reviews

"This is a self-contained book that systematically takes the reader from basic principles to the most advanced topics of fluid mechanics… Every concept is rigorously derived and proof is provided for theorems and equations… This reviewer has found the combination of fluid mechanics with computer algebra very useful since it allows one to ‘wet the hands’ with simple programs thus making the learning process more interactive… 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 new text/reference 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 new 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).

Foundations of Fluid Mechanics with Applications 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

From the Publisher