Abstract
The authors observed the transition of the system between two states of equilibrium by solving, with the help of a finite-difference method, the thermal unsteady laminar natural convection equations in an axisymmetric ellipsoid with vertical great axis filled with air. They showed that the number of convective cells varies from one to one by passing through a maximal value that depends on the Grashof number and on the aspect ratio. Simultaneously, the instantaneous average Nusselt number decreases in a monotonous way with time when the flow is unicellular and increases or decreases abruptly with each appearance or disappearance of cells.
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