Natural Convection and Entropy Generation in a Square Inclined Cavity with Differentially Heated Vertical Walls

The investigation of entropy generation of a system can provide very important information about the efficiency of a system, and can play a significant role in optimizing the conditions of the system. In the present study, Entropy generation due to laminarnatural convection in a square inclined cavity is investigated by numerically solving the dimensionless mass, momentum and energy balance equations. The cavity is bounded by two horizontal adiabatic walls and two vertical walls that are at different constant temperatures of which left wall is hot and right wall is cold. Five cases has been considered for which the inclination angles are 0°,15°,30°,45°and 60°.For each of the cases, convection and entropy generation characteristics have been described and analyzed in terms of distribution of isothermal lines, stream function, local entropy generation due to heat transfer and fluid friction and local Bejan number .It is found that with the increase of Rayleigh number, the total entropy generation due to fluid friction as well as total entropy generation increases and average Bejan number decreases. Also with the increase of inclination angle the total entropy generation due to fluid friction increases but total entropy generation due to heat transfer and average Bejan number decreases. The present results are compared with the previous reported solutions and excellent agreement is observed. The study is performed for Rayleigh number range, 103< Ra < 105, with airreversibility ratio of 10-4 and Prandtl number0.71.