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Angular Momentum in Geophysical Turbulence : Continuum Spatial Averaging Method - Victor N. Nikolaevskiy

Angular Momentum in Geophysical Turbulence

Continuum Spatial Averaging Method

Hardcover

Published: 31st December 2003
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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.

Preface
Introduction
Angular Momentum In A Viscous Fluid
Dynamics of viscous fluids
Angular momentum in hydrodynamics (review)
Angular momentum of a fluid element
Micro and macro-scales
Space Averaging And Macroequations
Spatial averaging principles
Chain of turbulence balance equations
Angular momentum balance
Evolution of moment of inertia
Turbulence As Open Thermodynamic System
Energy and entropy balances
Constitutive laws for turbulent fluids
Kinetic analysis of turbulence
Turbulent problem formulation
Turbulent Wakes In The Atmosphere
Turbulent wake of a body
Asymmetrical dynamics of a suspension
Turbulence of heterogeneous fluids
Turbulent flow with intermittency
Geophysical Turbulence
Tornado as a localized phenomenon
Ocean currents on the equator
Global ocean circulation
Towards the problem of a magnetic dynamo
Vortex Symmetry In Statistical Theory
Homogeneity and symmetry concepts
Tensorial moments of a velocity pulsation field
Turbulence with reflection symmetry
Turbulence with angular symmetry
Vector-Director Concept In Turbulence
Dynamics equations
Energy and constitutive laws
Wind velocity profile at a ground surface
Flows between plates
Literature
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9781402017339
ISBN-10: 1402017332
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 245
Published: 31st December 2003
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 1.27
Weight (kg): 1.19