<p>We report a numerical study of two-dimensional Rayleigh-Bénard convection in a square domain over a Rayleigh number range of 5 × 10<sup>3</sup> ≤ <i>Ra</i> ≤ 1 × 10<sup>9</sup> with a fixed Prandtl number <i>Pr</i> = 4.3. It is found that the compensated global transport quantities exhibit a non-monotonic Ra-dependent evolution from <i>Ra</i> ≈ 2 × 10<sup>6</sup> to <i>Ra</i> ≈ 5 × 10<sup>7</sup>. Detailed modal analysis reveals that this non-monotonic behaviour is associated with the abnormal reversal frequency of the large-scale flow, featured by a pronounced drop and a subsequent increase in this regime, with a minimum reversal frequency occurring at <i>Ra</i> ≈ 2 × 10<sup>7</sup>. Flow visualizations reveal that this abnormal flow reversal scenario originates from the suppression of corner-roll growth via intermittent pinch-off events, which leads to long-lived unidirectional large-scale flow and critical slowing down of flow reversals. Vorticity balance diagnostics further show that this morphological shift in corner-roll dynamics is driven by a balance between buoyancy and advection at <i>Ra</i> ≈ 2 × 10<sup>7</sup>. These findings offer a new insight into the mechanism of flow reversal.</p>

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Flow reversal suppressed by pinch-off corner rolls in two-dimensional Rayleigh-Bénard convection

  • Lu Li,
  • Zhen-Yuan Gao,
  • Shi-Di Huang

摘要

We report a numerical study of two-dimensional Rayleigh-Bénard convection in a square domain over a Rayleigh number range of 5 × 103Ra ≤ 1 × 109 with a fixed Prandtl number Pr = 4.3. It is found that the compensated global transport quantities exhibit a non-monotonic Ra-dependent evolution from Ra ≈ 2 × 106 to Ra ≈ 5 × 107. Detailed modal analysis reveals that this non-monotonic behaviour is associated with the abnormal reversal frequency of the large-scale flow, featured by a pronounced drop and a subsequent increase in this regime, with a minimum reversal frequency occurring at Ra ≈ 2 × 107. Flow visualizations reveal that this abnormal flow reversal scenario originates from the suppression of corner-roll growth via intermittent pinch-off events, which leads to long-lived unidirectional large-scale flow and critical slowing down of flow reversals. Vorticity balance diagnostics further show that this morphological shift in corner-roll dynamics is driven by a balance between buoyancy and advection at Ra ≈ 2 × 107. These findings offer a new insight into the mechanism of flow reversal.