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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2007 Volume 3, Number 1, Pages 3–31 (Mi nd121)

This article is cited in 1 paper

The convection regimes in a low-order model of fluid motion in nearly axially symmetrical ellipsoidal cavity

A. E. Gledzer

A. M. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences

Abstract: The oscillatory types of motion in frame of 6-modes model of convection are considered into nearly axially symmetrical ellipsoidal volume. The pseudo-Prandtl, Rayleigh numbers and vertical aspect ratio are changed in large ranges. The regimes with different types of vorticity oscillations are determined, that are connected with the turning of the fluid rotation axis or with the alteration of rotation. For some of the regimes the analytical solution and formulae of oscillation periods were obtained.

Keywords: Rayleigh-Bénard convection, low-order models, linear space, thermal plumes.

UDC: 551.665

MSC: 76R05, 76R10, 74F05, 37Exx



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