Dynamics of zero-Prandtl number convection near onset
نویسندگان
چکیده
منابع مشابه
Dynamics of zero-Prandtl number convection near onset.
We present a detailed bifurcation scenario of zero-Prandtl number Rayleigh-Bénard convection using direct numerical simulations (DNS) and a 27-mode low-dimensional model containing the most energetic modes of DNS. The bifurcation analysis reveals a rich variety of convective flow patterns and chaotic solutions, some of which are common to that of the 13-mode model of Pal et al. [EPL 87, 54003 (...
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The transition to convection in a zero Prandtl number fluid with stress-free and perfectly conducting boundaries differs significantly from finite Prandtl number convection, giving rise to a three-dimensional pattern. Two possible scenarios are described and compared with recent numerical simulations by Thual Ii]. The Prandtl number of a fluid can approach zero in one of two ways either because...
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We show the possibility of temporally quasiperiodic waves at the onset of thermal convection in a thin horizontal layer of slowly rotating zero-Prandtl-number Boussinesq fluid confined between stress-free conducting boundaries. Two independent frequencies emerge due to an interaction between straight rolls and waves along these rolls in the presence of Coriolis force, if the Taylor number is ra...
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A simple model to explain the numerically observed behavior of chaotically varying stripes and square patterns in zero-Prandtl-number convection in Boussinesq fluid is presented. The nonlinear interaction of mutually perpendicular sets of wavy rolls, via higher-order modes, may lead to a competition between the two sets of rolls. The appearance of square patterns is due to a secondary forward b...
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Rayleigh-Bénard convection with rotation about a vertical axis was studied with the shadowgraph imaging method up to a dimensionless rotation rate V of 22. Most of the results are for a cylindrical convection cell with a radius-to-height ratio G540 that contained CO2 at 33.1 bars with a Prandtl number s50.93. Measurements of the critical Rayleigh number Rc and wave number kc for 0,V,22 agree we...
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ژورنال
عنوان ژورنال: Chaos: An Interdisciplinary Journal of Nonlinear Science
سال: 2011
ISSN: 1054-1500,1089-7682
DOI: 10.1063/1.3591793