Abstract
We present a synthesis of results obtained from a linear stability analysis of the one-cell Hadley circulation. This flow is observed in the core of the large cavity in horizontal Bridgman configurations. The marginal stability threshold of this motion is given in the case of both rigid horizontal surfaces or upper stress-free surfaces; we also consider either insulating or perfectly conducting boundary conditions. Finally, we look at the influence of thermocapillary forces on the appearance of 2D oscillatory perturbations. This linear analysis allows to describe the competition between 2D and 3D disturbances. Moreover, bifurcated solutions are computed for some boundary conditions by using the differential system on the center manifold. These numerical results allow us to predict, for specified values of the Prandtl number, the form of the solution in the neighbourhood of a neutral stability point. We relate all the results obtained by this way, but only focus on the 2D perturbations in this paper.
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