UNSPECIFIED. (2005) Enstrophy dissipation in freely evolving two-dimensional turbulence. PHYSICS OF FLUIDS, 17 (8). -. ISSN 1070-6631

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Abstract

Freely decaying two-dimensional Navier-Stokes turbulence is studied. The conservation of vorticity by advective nonlinearities renders a class of Casimirs that decays under viscous effects. A rigorous constraint on the palinstrophy production by nonlinear transfer is derived, and an upper bound for the enstrophy dissipation is obtained. This bound depends only on the decaying Casimirs, thus allowing the enstrophy dissipation to be bounded from above in terms of initial data of the flows. An upper bound for the enstrophy dissipation wave number is derived and the new result is compared with the classical dissipation wave number. (c) 2005 American Institute of Physics.

Item Type:	Journal Article
Subjects:	T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics
Journal or Publication Title:	PHYSICS OF FLUIDS
Publisher:	AMER INST PHYSICS
ISSN:	1070-6631
Date:	August 2005
Volume:	17
Number:	8
Number of Pages:	3
Page Range:	-
Identification Number:	10.1063/1.2001687
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/6685

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