Stability analysis of natural convective flows in horizontal annuli: effects of axial and radial aspect ratios

Abstract : Linear stability analyses for two-dimensional natural convection in horizontal air-filled annuli are performed for three-dimensional perturbations and radius ratios in the range 1.2 ≤ R ≤ 3. Flow transitions from moderate to large gap annuli, which have not been reported before, are thoroughly investigated. As a result, stability diagrams are obtained for finite and for infinite length annuli. The leading disturbances and threshold values are found to agree well with experimental data and three-dimensional numerical solutions. Three-dimensional simulations were also carried out to examine the influence on the flow stability of no-slip boundary conditions at the end walls.
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G. Petrone, Eric Chénier, Guy Lauriat. Stability analysis of natural convective flows in horizontal annuli: effects of axial and radial aspect ratios. Physics of Fluids, American Institute of Physics, 2006, 18 (10), pp.104107-1/14. ⟨hal-00749542⟩

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