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HEAT TRANSFER FROM THE COLD WALL OF A SQUARE CAVITY TO THE HOT ONE BY OSCILLATORY NATURAL CONVECTION

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 periodical natural convection in an inclined square enclosure has been numerically studied. One of the cavity sides has been maintained at a constant temperature, and the temperature of the opposite wall has been varied by the sine law. The mean value of this temperature in a period was lower than the given constant temperature. The other two walls of the enclosure have been adiabatic. The system of Navier-Stokes equations in Boussinesq approximation has been solved numerically by control volume method with SIMPLER algorithm. The solutions have been obtained for Grashof number equaled to 5·105 and Prandtl number equaled to unity in a wide range of the oscillation frequency variation. The heat transfer dependency on oscillation frequency has been studied for different values of inclination angle. It has been found that there is a possibility of heat transferring from the hotter wall to the colder one in a whole range of the problem parameters. The possible causes of such a phenomenon has been analysed.

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