Foundations of Fluid Mechanics with Applications: Problem Solving Using Mathematica(r)

ISBN-13: 9783319661483 / Angielski / Miękka / 2017 / 575 str.

Sergey P. Kiselev; Evgenii V. Vorozhtsov; Vasily M. Fomin

Opis

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(R) 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(R) computer programs
  
• Extensive, self-contained appendix of Mathematica(R) 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.

Spis treści

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.

O autorze

Sergey P. Kiselev, Novosibirsk National Research University, Russia

Evgenii V. Vorozhtsov, Novosibirsk National Research University, Russia

Vasily M. Fomin, Novosibirsk National Research University, Russia

Blurb

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