Abstract
In order to study the averaged characteristics of vibrational and chaotic thermal convection in a square enclosure, one-dimensional modeling method of the field were proposed. In deriving the basic equations of closed form, the conditions of invariant for a generalized Galillei transformation et al. were applied to the term to model. The numerical solution of the modeled equation was satisfactory for the stationary state. However the solution for vibrated states were not sufficient to predict the unsteady characteristics quantitatively. That remains our future works.
