Steady laminar natural convection heat transfer inside air-filled rectangular cavities with differentially heated horizontal and vertical opposite walls, is studied numerically. Both cases of bottom endwall either at higher or lower temperature than the top endwall are considered. A computer code based on the SIMPLE-C algorithm is employed for the solution of the mass, momentum, and energy conservation equations. Simulations are performed for different values of the aspect ratio of the cavity from 0.25 to 4, and the Rayleigh number based on the cavity height in the range between 103 and 106, whose effects on the flow and temperature fields, and on the heat transfer rate across the enclosure, are analyzed in details
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