The natural convective heat transfer in an inclined square enclosure has been numerically studied. The top and bottom horizontal walls were adiabatic, and the right sidewall was maintained at a constant temperature T_o. The temperature of the opposing vertical wall varied by sine law with time about a mean value T_o. The system of Navier-Stokes equations in Boussinesq approximation has been solved numerically by control volume method with SIMPLER algorithm. The enclosure have been filled with an air (Pr = 1) and the results have been obtained in the range of inclination angle 0°≤ α ≤ 90°for two values of Grashof number (2·10~5 and 3·10~5). It could be noted that there is a non-zero time-averaged heat flux through the enclosure at α ≠ 0°. The dependencies of time-averaged heat flux on oscillation frequency and inclination angle have been depicted. It has been found that the maximal heat transfer corresponds to the values of inclination angle α = 54° and dimensionless frequency f = 20π for both studied Grashof numbers (2·10~5 and 3·10~5).
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