Abstract
Mixed convection modes in a vertical layer with periodically curved boundaries are investigated. The amplitude of the waviness of the layer walls and the flow of fluid along the layer are both assumed to be small, and the value of the Grashof number is assumed to be close to critical. It is established that, in addition to the spatially periodic motions where the amplitude of the waviness is small, studied in /1, 2/, stable spatially modulated (quasiperiodic and soliton-type) wave modes of flow are possible, resembling the modulated convective structures in a horizontal layer /3/.
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