Abstract
In this paper the time dependent characteristics of surface-average Nusselt number in a square enclosure with hot and cold side walls exposed vertical vibration were numerically examained. In the computation the Prandtl number, the Rayleigh number and the vibration Grashof number were held constant of 0.71, 104 and 106, respectively. The angular frequency of vibration was changed in the range between 10 and 7 680. The results showed that the change in the characteristics of the surface-average Nusselt number proposed by Fu et al. coresponded to the change in the shape of reconstructed attractor and that these regions could be also characterized by the three indices defined on the phase space: average location of trajectory, the largest Lyapunov exponent and correlation dimension. Moreover it was also revealed that the time scale with which the auto-correlated coefficient of the surface-average Nusselt number becomes 1/e was found to be very important parameter for time and surface-average Nusselt number.
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