The onset ofthermosolutal convection and finite amplitude flows, due to vertical gradients of heat and solute in a horizontal rectangular enclosure with non-slip boundaries, are investigated numerically. Dirichlet boundary conditions for temperature and solute concentration are applied to the two horizontal walls of the enclosure, while the two vertical ones are assumed impermeable and insulated. The governing equations are solved numerically using a finite element method. In the over-stable regime, the numericla solution indicates the existence of possible oscillatory flows and a horizontal travel of the convective cells for relatively large aspect ratio enclosure. Also, for hte same set of the governing parameters, multiple confined steady and unsteady states are found to exist.
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