Angular Momentum in Geophysical Turbulence

Continuum Spatial Averaging Method

  • Victor N. Nikolaevskiy

Table of contents

  1. Front Matter
    Pages I-IX
  2. Victor N. Nikolaevskiy
    Pages 1-4
  3. Victor N. Nikolaevskiy
    Pages 5-30
  4. Victor N. Nikolaevskiy
    Pages 31-56
  5. Victor N. Nikolaevskiy
    Pages 57-84
  6. Victor N. Nikolaevskiy
    Pages 85-118
  7. Victor N. Nikolaevskiy
    Pages 119-157
  8. Victor N. Nikolaevskiy
    Pages 159-182
  9. Victor N. Nikolaevskiy
    Pages 183-220
  10. Victor N. Nikolaevskiy
    Pages 221-240
  11. Back Matter
    Pages 241-245

About this book


Turbulence theory is one of the most intriguing parts of fluid mechanics and many outstanding scientists have tried to apply their knowledge to the development of the theory and to offer useful recommendations for solution of some practical problems. In this monograph the author attempts to integrate many specific approaches into the unified theory. The basic premise is the simple idea that a small eddy, that is an element of turbulent meso-structure, possesses its own dynamics as an object rotating with its own spin velocity and obeying the Newton dynamics of a finite body. A number of such eddies fills a coordinate cell, and the angular momentum balance has to be formulated for this spatial cell. If the cell coincides with a finite­ difference element at a numerical calculation and if the external length scale is large, this elementary volume can be considered as a differential one and a continuum parameterization has to be used. Nontrivial angular balance is a consequence of the asymmetrical Reynolds stress action at the oriented sides of an elementary volume. At first glance, the averaged dyad of velocity components is symmetrical, == However, if averaging is performed over the plane with normal nj, the principle of commutation is lost. As a result, the stress tensor asymmetry j is determined by other factors that participate in the angular momentum balance. This is the only possibility to determine a stress in engineering.


Ocean Scale Tornado fluid mechanics mechanics wind

Authors and affiliations

  • Victor N. Nikolaevskiy
    • 1
  1. 1.Schmidt’s United Institute of Earth PhysicsRussian Academy of SciencesMoscowRussia

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 2003
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-6478-3
  • Online ISBN 978-94-017-0199-0
  • Buy this book on publisher's site
Industry Sectors
Materials & Steel
Oil, Gas & Geosciences