Foundations of Fluid Mechanics with Applications : Problem Solving Using Mathematica(r) - Sergey P. Kiselev

Foundations of Fluid Mechanics with Applications

Problem Solving Using Mathematica(r)

By: Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin

Hardcover | 1 December 1999 | Edition Number 2

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The book presents the basic concepts of continuum mechanics, including the Lagrangian and Eulerian descriptions, tensors of stresses and strains, equations of continuity, momentum, energy, thermodynamics laws, similarity theory. The governing equations and formulations of boundary-value problems are given, for which the solutions are obtained that describe the motions of such classical media as ideal and viscous fluids and gas, elastoplastic deformable solid. The mathematical models and their solutions are considered in a new domain of the mechanics of multiphase media. A considerable part of the results in this domain belongs to the Russian scientists and, in particular, to the authors of this book.
Industry 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

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