Energy spectra of a strongly supercritical quasi-two-dimensional flow

Citation
Sd. Danilov et al., Energy spectra of a strongly supercritical quasi-two-dimensional flow, IZV ATM O P, 36(2), 2000, pp. 261-269
Citations number
23
Categorie Soggetti
Earth Sciences
Journal title
IZVESTIYA ATMOSPHERIC AND OCEANIC PHYSICS
ISSN journal
00014338 → ACNP
Volume
36
Issue
2
Year of publication
2000
Pages
261 - 269
Database
ISI
SICI code
0001-4338(200003/04)36:2<261:ESOASS>2.0.ZU;2-0
Abstract
Experimental results obtained for the spectral density of energy in a stron gly supercritical quasi-two-dimensional multivortex flow are presented. The Flow is generated magnetohydrodynamically in a rectangular tank filled wit h a thin layer of weak electrolyte and placed in a magnetic field. It is sh own that the inverse energy cascade is limited because of the effect of bot tom friction. The rates of energy and enstrophy transfer over the spectrum are calculated. The experimental spectra are compared to those obtained fro m numerical integration of the equations of two-dimensional motion in the p resence of bottom friction for conditions similar to the experimental ones. In the laboratory experiment, the energy concentrated in large-scale motio ns increases with supercriticality more slowly than is predicted by numeric al calculations.