2006
DOI: 10.1063/1.2401223
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Large-scale instabilities in a nonrotating turbulent convection

Abstract: A theoretical approach proposed in Phys. Rev. E 66, 066305 (2002) is developed further to investigate formation of large-scale coherent structures in a non-rotating turbulent convection via excitation of a large-scale instability. In particular, the convective-wind instability that causes formation of large-scale coherent motions in the form of cells, can be excited in a shear-free regime. It was shown that the redistribution of the turbulent heat flux due to non-uniform large-scale motions plays a crucial ro… Show more

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Cited by 13 publications
(13 citation statements)
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“…Our main aim is to return to the question with which we closed a previous report on large scales of convection [21]: is there a natural scale to which the convective patterns tend when they are not inhibited by the geometry of the container? Some indication of the existence of a saturation scale is provided by the work of Cattaneo et al [18], Rincon et al [26] and Elperin et al [14]. Here we further explore this topic and consider a series of numerical simulations of Rayleigh-Bénard convection at several moderately large values of the Rayleigh number and for values of the aspect ratio ranging up to a ratio of horizontal to vertical domain size of about 38.…”
Section: Introductionmentioning
confidence: 94%
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“…Our main aim is to return to the question with which we closed a previous report on large scales of convection [21]: is there a natural scale to which the convective patterns tend when they are not inhibited by the geometry of the container? Some indication of the existence of a saturation scale is provided by the work of Cattaneo et al [18], Rincon et al [26] and Elperin et al [14]. Here we further explore this topic and consider a series of numerical simulations of Rayleigh-Bénard convection at several moderately large values of the Rayleigh number and for values of the aspect ratio ranging up to a ratio of horizontal to vertical domain size of about 38.…”
Section: Introductionmentioning
confidence: 94%
“…These structures have approximately circular horizontal cross-sections with diameters comparable to the boundary layer thickness and they typically traverse the full body of the fluid [1,2]. When the aspect ratio of the container is moderately large (horizontal domain size of about 4 to 6 times the layer depth) the plumes are found to congregate into patterns associated with large-scale circulations that have been studied experimentally [3][4][5][6][7][8][9][10], analytically [11][12][13][14] and numerically [15][16][17][18][19][20][21][22][23]. The dependence of the properties of turbulent convection and of large-scale circulations on aspect * Corresponding author.…”
Section: Introductionmentioning
confidence: 99%
“…A mean-field theory [4,35,36] has been proposed to explain the formation of coherent structures in turbulent convection. It is known from laboratory experiments and numerical simulations [7,14,15,21] that the coherent structures in Rayleigh-Bénard turbulent convection are not driven by the turbulent Reynolds stresses associated with the tilting plumes at the upper and the lower horizontal walls.…”
Section: Introductionmentioning
confidence: 99%
“…[14,42,43]. According to this theory a redistribution of the turbulent heat flux due to non-uniform largescale motions plays a crucial role in the formation of the large-scale coherent structures in turbulent convection.…”
Section: Introductionmentioning
confidence: 99%
“…A convective-wind instability in the shear-free turbulent convection causes the large-scale motions in the form of cells. In the sheared convection, the large-scale instability results in an excitation of convective-shear waves, and the dominant coherent structures in the sheared convection are rolls [14,42,43].…”
Section: Introductionmentioning
confidence: 99%