Flow and heat transfer regimes in inclined differentially heated cavities

Abstract The natural convection in long inclined cavities with differentially heated end walls is analytically and numerically studied. The dimensionless axial temperature gradient at the core region, K, is calculated and it is used to determine the frontiers of the flow regimes (conductive, transition and boundary layer regimes) in the space of parameters. For horizontal cavities (α=90°) these frontiers have been found at A2Ra≃102 and A2Ra≃104, and confirm the results of B. Boehrer (Convection in a long cavity with differentially heated end walls, Int. J. Heat Mass Transfer 40 (17) (1997) 4105–4114). For 0 100°). The boundary layer regime (BLR) for α

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