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Angular Momentum in Geophysical Turbulence - Continuum Spatial Averaging Method (Paperback, Softcover reprint of hardcover 1st ed. 2004)
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Angular Momentum in Geophysical Turbulence - Continuum Spatial Averaging Method (Paperback, Softcover reprint of hardcover 1st ed. 2004)
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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."
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