The two-dimensional Rayleigh-Bénard convection under external vibration at varying orientations has been systematically studied using direct numerical simulations. The vibration angle (β) relative to the horizontal axis spans from 0° to 90°, and the Rayleigh number (Ra) ranges from 106 to 108 with the Prandtl number fixed at Pr = 4.38. The dimensionless vibration frequency (ω) varies from 0 to 1000, with the dimensionless amplitude fixed at Am = 1.52 × 10−3. The dependence of the Nusselt number (Nu) and Reynolds number (Re) on the vibration angle (β) exhibits a non-monotonic relationship, with an optimal vibration direction identified that maximizes heat transport enhancement. At high vibration frequencies, a critical vibration angle of βc demarcates the transition between vibration-induced enhancement and suppression of Nu. For β < βc, the horizontal component of vibration is dominant, leading to the detachment of thermal plumes from the conducting plates due to vibration-induced boundary layer (BL) destabilization, thereby enhancing convective heat transport. In contrast, for β < βc, the vertical component of vibration dominates, stabilizing the thermal BLs and suppressing turbulent fluctuations, which reduces the global heat transport. Additionally, the action of vibration modifies the shape of the large-scale circulation, making it more circular and generating new vortex structures in the bulk for intermediate β. Vibration also influences the growth of corner rolls, reducing their size at small β and potentially inducing the formation of new corner rolls along the opposite diagonal direction at large β.
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