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

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.

List 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.

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

Summary

Affordable, softcover reprint of a classic textbook

Rigorous treatment of each topic from a mathematical point of view
Contains a lot of interesting material not commonly found in similar textbooks

Product details

• Authors: Vas Fomin, Vasily M. Fomin, Sergey Kiselev, Sergey P Kiselev, Sergey P. Kiselev, Evgenii Vorozhtsov, Evgenii V Vorozhtsov, Evgenii V. Vorozhtsov
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 31.10.2017
• EAN: 9783319661483
• ISBN: 978-3-31-966148-3
• No. of pages: 575
• Dimensions: 155 mm x 234 mm x 31 mm
• Weight: 892 g
• Illustrations: XVI, 575 p. 178 illus., 1 illus. in color.
• Series: Modern Birkhäuser Classics; Modern Birkhäuser Classics
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; B, Mathematics and Statistics, Applications of Mathematics, Mathematical physics, Computer mathematics, Computational Science and Engineering, Maths for scientists, Mathematical Applications in the Physical Sciences