From cat's eyes to disjoint multicellular natural convection flow in tall tilted cavities
Abstract
Numerical results of twodimensional natural convection problems, in airfilled tall cavities, are reported to study the change of the cat's eyes flow as some parameters vary, the aspect ratio A and the angle of inclination ϕ of the cavity, with the Rayleigh number Ra mostly fixed; explicitly, the range of the variation is given by 12⩽A⩽20 and 0°⩽ϕ⩽270°; about Ra=1.1×10. A novelty contribution of this work is the transition from the cat's eyes changes, as A varies, to a disjoint multicellular flow, as ϕ varies. These flows may be modeled by the unsteady Boussinesq approximation in stream function and vorticity variables which is solved with a fixed point iterative process applied to the nonlinear elliptic system that results after time discretization. The validation of the results relies on mesh size and timestep independence studies.
 Publication:

Physics Letters A
 Pub Date:
 July 2011
 DOI:
 10.1016/j.physleta.2011.05.022
 Bibcode:
 2011PhLA..375.2683N