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

Autor Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
en Limba Engleză Paperback – 20 noi 2017
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.


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    Specificații

    ISBN-13: 9783319661483
    ISBN-10: 3319661485
    Pagini: 582
    Ilustrații: XVI, 575 p. 178 illus., 1 illus. in color.
    Dimensiuni: 155 x 235 x 36 mm
    Greutate: 0.82 kg
    Ediția:1st ed. 2017
    Editura: Springer International Publishing
    Colecția Birkhäuser
    Seria Modern Birkhäuser Classics

    Locul publicării:Cham, Switzerland

    Cuprins

    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.

    Notă biografică

    Sergey P. Kiselev, Novosibirsk National Research University, Russia

    Evgenii V. Vorozhtsov, Novosibirsk National Research University, Russia

    Vasily M. Fomin, Novosibirsk National Research University, Russia

    Textul de pe ultima copertă

    Fluid mechanics is a branch of science dealing with the study of flows of continua under the action of external forces.  It has a rich history and unchanging core of materials, but is constantly expanding and evolving as new methods, applications, and computational tools are developed.

    This text 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
    • Exte
    nsive, 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 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.

    Reviews

    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 book] 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

    Caracteristici

    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

    Recenzii

    "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