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

Description

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 and gases Complete worked examples with detailed solutions Problem-solving approachFoundations 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. Front Matter ....Pages i-xvi Definitions of Continuum Mechanics (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 1-74 Fundamental Principles and Laws of Continuum Mechanics (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 75-153 The Features of the Solutions of Continuum Mechanics Problems (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 155-185 Ideal Fluid (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 187-266 Viscous Fluid (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 267-310 Gas Dynamics (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 311-400 Multiphase Media (Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin)....Pages 401-525 Back Matter ....Pages 526-575