Resonance Driven by Horizontal Oscillations of a Vessel Occupied by a Fluid Heated from Above

Unsteady convection driven by periodic horizontal displacements of a rectangular cavity heated from below is investigated numerically. The resonance effects clearly manifest themselves in the frequency dependence of the induced convection flow. These effects appear at a sufficient temperature difference (Grashof number G>10⁴) and a considerable amplitude of the horizontal displacements of the cavity. The dependence of the parameters (resonance frequency and amplitude under resonance conditions) on the problem parameters (Grashof and Prandtl numbers and the cavity length/height ratio) and the method are found. Estimates show that the effects in question can be detected under laboratory conditions.