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On Statistical Equilibrium in Helical Fluid Flows : Volume 13, Issue 2 (02/06/2006)

By Kurgansky, M. V.

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Book Id: WPLBN0004019751
Format Type: PDF Article :
File Size: Pages 6
Reproduction Date: 2015

Title: On Statistical Equilibrium in Helical Fluid Flows : Volume 13, Issue 2 (02/06/2006)  
Author: Kurgansky, M. V.
Volume: Vol. 13, Issue 2
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Kurgansky, M. V. (2006). On Statistical Equilibrium in Helical Fluid Flows : Volume 13, Issue 2 (02/06/2006). Retrieved from

Description: Department of Geophysics, Faculty of Physical and Mathematical Sciences, University of Concepción, Casilla 160-C, Concepción, Chile. The statistical mechanics of 3-D helical flows is re-examined for a continuum truncated at a top wavenumber. Based on the principle of equipartition of the flow enstrophy between helical modes, the emerging (i) energy spectrum law –2 and (ii) formal mathematical analogy between the helicity and the thermodynamic entropy are discussed. It is noted that the –2 scaling law is consistent with both spectral equilibrium and spectral cascade paradigms. In an attempt to apply the obtained results to a turbulent flow regime within the Earth's outer liquid core, where the net helicity of a turbulent flow component is presumably explained by Earth's rotation, it has been noticed that it is the energy spectral law –1, but not –2, which is likely realized there and within the logarithmic accuracy corresponds to the case of the velocity structure function [u(l)]2 independency on the spatial scale l, the latter is consistent with observations. It is argued that the –1 scaling law can also be interpreted in terms of the spectral equilibrium and it is emphasized that the causes of the likely dominance of the spectral law –1 over the spectral law –2 in this geophysical application deserve further investigation and clarification.

On statistical equilibrium in helical fluid flows

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