Applied Mathematical Sciences

Vorticity and Turbulence

Authors: Chorin, Alexandre J.

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About this Textbook

This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro­ duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov's theory of the inertial range, slanted so as to dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised.

Table of contents (8 chapters)

  • Introduction

    Chorin, Alexandre J.

    Pages 1-4

  • The Equations of Motion

    Chorin, Alexandre J.

    Pages 5-24

  • Random Flow and Its Spectra

    Chorin, Alexandre J.

    Pages 25-48

  • The Kolmogorov Theory

    Chorin, Alexandre J.

    Pages 49-65

  • Equilibrium Flow in Spectral Variables and in Two Space Dimensions

    Chorin, Alexandre J.

    Pages 67-89

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4419-8728-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-387-94197-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4612-6459-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Vorticity and Turbulence
Authors
Series Title
Applied Mathematical Sciences
Series Volume
103
Copyright
1994
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4419-8728-0
DOI
10.1007/978-1-4419-8728-0
Hardcover ISBN
978-0-387-94197-4
Softcover ISBN
978-1-4612-6459-0
Series ISSN
0066-5452
Edition Number
1
Number of Pages
VIII, 176
Topics