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Angular Momentum in Geophysical Turbulence

Continuum Spatial Averaging Method

  • Book
  • © 2003

Overview

Authors:
  1. Victor N. Nikolaevskiy

    1. Schmidt’s United Institute of Earth Physics, Russian Academy of Sciences, Moscow, Russia

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-IX
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  2. Introduction

    • Victor N. Nikolaevskiy
    Pages 1-4

  3. Angular Momentum in a Viscous Fluid

    • Victor N. Nikolaevskiy
    Pages 5-30

  4. Spatial Averaging and Macroequations

    • Victor N. Nikolaevskiy
    Pages 31-56

  5. Turbulence as Open Thermodynamic System

    • Victor N. Nikolaevskiy
    Pages 57-84

  6. Turbulent Wakes in the Atmosphere

    • Victor N. Nikolaevskiy
    Pages 85-118

  7. Geophysical Turbulence

    • Victor N. Nikolaevskiy
    Pages 119-157

  8. Vortex Symmetry in Statistical Theory

    • Victor N. Nikolaevskiy
    Pages 159-182

  9. Vector — Director Concept in Turbulence

    • Victor N. Nikolaevskiy
    Pages 183-220

  10. Literature

    • Victor N. Nikolaevskiy
    Pages 221-240

  11. Back Matter

    Pages 241-245
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Keywords

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.

Authors and Affiliations

  • Schmidt’s United Institute of Earth Physics, Russian Academy of Sciences, Moscow, Russia

    Victor N. Nikolaevskiy

Bibliographic Information

  • Book Title: Angular Momentum in Geophysical Turbulence

  • Book Subtitle: Continuum Spatial Averaging Method

  • Authors: Victor N. Nikolaevskiy

  • DOI: https://doi.org/10.1007/978-94-017-0199-0

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 2003

  • Hardcover ISBN: 978-1-4020-1733-9Published: 31 December 2003

  • Softcover ISBN: 978-90-481-6478-3Published: 01 December 2010

  • eBook ISBN: 978-94-017-0199-0Published: 18 April 2013

  • Edition Number: 1

  • Number of Pages: IX, 245

  • Topics: Geophysics/Geodesy, Atmospheric Sciences, Oceanography, Mathematical Modeling and Industrial Mathematics

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