A traveling-wave state observed in full numerical simulations of cylindrical convection is reported. These waves arise with large amplitude via a global bifurcation of the steady convective state in systems with highly conducting sidewalls. For poorly conducting sidewalls, transition occurs instead to a disconnected branch of steady states. The Prandtl-number dependence of these transitions is interpreted in light of a wavelength selection mechanism previously proposed for axisymmetric convection.
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Tuckerman et al. (1988) studied this question.
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