In this study, the authors numerically investigate the frequency response on the three-dimensional thermal convection in a cubic cavity heated from below in the gravitational field, concerning flow characteristics such as flow structure and a global quantity the spatially-averaged kinetic energy
K. The authors assume incompressible fluid with a Prandtl number
Pr = 7.1 (water) and with a Rayleigh number
Ra = 1.0×10
4 or 4.0×10
4. The direction of a forced sinusoidal oscillation is parallel to the terrestrial gravity. The authors especially focus upon the influences of both the forced-oscillation amplitude
η and frequency
ω in non-dimensional forms, whose test ranges are 1.5 ≤
η ≤ 15 and 10 ≤
ω ≤ 10
3. The obtained results are as follows. For
Ra = 4.0×10
4, as well as
Ra = 1.0×10
4 (Tanigawa et al., 2009), we can observe the optimum frequency
ω|K|max where the amplitude of
K attains the maximum for each
η. And, for both
Ra's,
ω|K|max becomes the minimum at
η = 1.5 - 2.0. Especially for
Ra = 4.0×10
4,
ω|K|max is affected by the initial conditions. For both
Ra's, the maximum of the
K amplitude uniquely exists at
ω =
ω|K|max each
η, when
η < 1.5. On the other hand, we can observe not single but plural peak frequencies with locally-maximum |
K|'s for each
η, when
η ≥ 1.5. It is confirmed that such plural frequencies are related with the appearances of various flow structures. Especially for
Ra = 4.0×10
4, this relation is also affected by the initial conditions. In addition, the details of a new flow structure are reported.
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