Inclination Angle Effects On Heat Transfer In A Semi-Circular Enclosure

Abstract

The investigation of the effects of rotary cylinders on the transfer of heat in a semicircular cavity occupied with air is presented in this paper. A constant and 2D laminar flow was assumed. Moreover, a Boussinesq approximation is applied to calculate density variations with temperature. Using a flexpde software program to solve the governing equations of energy, momentum, and continuity. The studied parameters are the rotational speed (Ω = 0 − 2000), the angle of inclination (γ = 0 − 90◦), Rayleigh number (104-107), and Prandtl number (0.7). The findings indicate that the average Nusselt number decreases with the increase in inclination angle, as the greatest value of the Nusselt number was found for an angle of inclination close to 0◦. Furthermore, for the range of inclination angles between 0◦ − 45◦ , the average Nusselt number increases gradually with increasing angular velocity values. The results have been benchmarked and a good agreement has been obtained. The objective of this study is to scrutinize the effect of the angle of inclination, and the rotational position of the cylinder on heat transfer. The largest and lowest values of the average Nusselt number take place at a location 0.1 and 0.2 of the cylinder center.

Keywords

• nusselt number
• combined convection
• rotating cylinder
• inclined semi-circular cavity