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Modeling and Simulation in Science, Engineering and Technology

Foundations of Fluid Mechanics with Applications

Problem Solving Using Mathematica®

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

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  • ISBN 978-1-4612-1572-1
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Hardcover $119.99
price for USA in USD
  • ISBN 978-0-8176-3995-2
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  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
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  • ISBN 978-1-4612-7198-7
  • Free shipping for individuals worldwide
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About this Textbook

Fluid mechanics (FM) is a branch of science dealing with the investi­ gation of flows of continua under the action of external forces. The fundamentals of FM were laid in the works of the famous scientists, such as L. Euler, M. V. Lomonosov, D. Bernoulli, J. L. Lagrange, A. Cauchy, L. Navier, S. D. Poisson, and other classics of science. Fluid mechanics underwent a rapid development during the past two centuries, and it now includes, along with the above branches, aerodynamics, hydrodynamics, rarefied gas dynamics, mechanics of multi phase and reactive media, etc. The FM application domains were expanded, and new investigation methods were developed. Certain concepts introduced by the classics of science, however, are still of primary importance and will apparently be of importance in the future. The Lagrangian and Eulerian descriptions of a continuum, tensors of strains and stresses, conservation laws for mass, momentum, moment of momentum, and energy are the examples of such concepts and results. This list should be augmented by the first and second laws of thermodynamics, which determine the character and direction of processes at a given point of a continuum. The availability of the conservation laws is conditioned by the homogeneity and isotrop­ icity properties of the Euclidean space, and the form of these laws is related to the Newton's laws. The laws of thermodynamics have their foundation in the statistical physics.

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


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-1-4612-1572-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-0-8176-3995-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-1-4612-7198-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Foundations of Fluid Mechanics with Applications
Book Subtitle
Problem Solving Using Mathematica®
Authors
Series Title
Modeling and Simulation in Science, Engineering and Technology
Copyright
1999
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1572-1
DOI
10.1007/978-1-4612-1572-1
Hardcover ISBN
978-0-8176-3995-2
Softcover ISBN
978-1-4612-7198-7
Series ISSN
2164-3679
Edition Number
1
Number of Pages
XIV, 575
Topics