Abstract
A numerical study of rectangular lid driven cavities is reported using Lattice Boltzmann Method (LBM). The formation of new primary eddies in shallow cavities are primarily due to the splitting of the primary eddy whereas in deep cavities merging of corner eddies are responsible for the formation of new primary eddy. In deep cavities, the new primary eddies are observed to be weak eddies as they have negligible effect on the velocity distribution through the vertical center-line of the cavity. The distribution of skin friction coefficient along the bottom wall clearly exhibits that the corner eddies grow in size as the Reynold's numbers (Re) increases. With the increasing Re, the symmetric eddies grow initially and at a particular Re they lose their symmetry and becomes completely asymmetric. It is also observed that the critical value of Re for symmetry breaking increases with increasing aspect ratio.
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