Geodesic
The convection regimes in a low-order model of fluid motion in nearly axially symmetrical ellipsoidal cavity
Russian journal of nonlinear dynamics, Tome 3 (2007) no. 1, pp. 3-31 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Mots-clés : Rayleigh-Bénard convection, thermal plumes.
Keywords: low-order models, linear space 
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     author = {A. E. Gledzer},
     title = {The convection regimes in a low-order model of fluid motion in nearly axially symmetrical ellipsoidal cavity},
     journal = {Russian journal of nonlinear dynamics},
     pages = {3--31},
     year = {2007},
     volume = {3},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2007_3_1_a0/}
}
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A. E. Gledzer. The convection regimes in a low-order model of fluid motion in nearly axially symmetrical ellipsoidal cavity. Russian journal of nonlinear dynamics, Tome 3 (2007) no. 1, pp. 3-31. http://geodesic.mathdoc.fr/item/ND_2007_3_1_a0/