Abstract
In this paper, the thermal convection field and its resonance phenomena in a square cavity with sinusoidal heat-flux vibration were numerically examined at Pr=0.71, Ra=10^6. When the amplitude of the vibration a is less than unity, i.e. α<1.0, the field has the local maximum of relative amplitude of midplane Nusselt number at a critical angular frequency ω_c=350 in accord with that of the internal gravity wave. In contrast, for a>1.0, we found that the thermal convection field exhibits a nonlinear response to the vibration. ω_c is changed linearly with α, and we observed the nonlinear resonance phenomena which differs from the one induced by the wave.
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