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NATURAL CONVECTIVE HEAT TRANSFER IN A SQUARE CAVITY WITH TIME-VARYING SIDEWALL TEMPERATURE

M. V. Kanashina
Tyumen State University, Tyumen, Russia

P. T. Zubkov
Mathematical Simulation Laboratory, Surgut State University, Surgut 628408; and Tyumen State University, Tyumen, Russia

Evgueny V. Kalabin
Mathematical Simulation Laboratory, Surgut State University, Surgut 628408, RUSSIA

Abstract

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 To. The temperature of the opposing vertical wall varied by sine law with time about a mean value To. 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 (2·105 and 3·105). 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 (2·105 and 3·105).

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