Foundations of Fluid Mechanics with Applications

Problem Solving Using Mathematica®

Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin (Autoren)

Buch | Softcover

XVI, 575 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-66148-3 (ISBN)

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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 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.

Sergey P. Kiselev, Novosibirsk National Research University, Russia Evgenii V. Vorozhtsov, Novosibirsk National Research University, Russia Vasily M. Fomin, Novosibirsk National Research University, Russia

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.

Erscheinungsdatum	29.10.2017
Reihe/Serie	Modern Birkhäuser Classics
Zusatzinfo	XVI, 575 p. 178 illus., 1 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	883 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Aerohydrodynamics • computational science and engineering • Continuum Mechanics • fluid mechanics • Mathematical Applications in the Physical Sciences • Mathematical Modelling • Mathematics • mathematics and statistics • Maths for scientists • Mechanics of Multiphase Media • Shock waves
ISBN-10	3-319-66148-5 / 3319661485
ISBN-13	978-3-319-66148-3 / 9783319661483
Zustand	Neuware