Abstract
Three-dimensional electro-thermo-convective flow between two parallel plates under a simultaneously applied voltage and temperature difference is studied with linear stability analysis, direct numerical simulations, and computation of local entropy generation. An infinitesimal random perturbation is found to grow into a rolls pattern, then partially break up into polygons, and finally evolve into hexagons. The rolls pattern always has a larger total entropy generation and mean-square temperature gradient than the hexagon pattern, indicating that the rolls pattern is relatively more stable under these conditions.
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