CONSTRUCTAL TREES OF CIRCULAR FINS FOR CONDUCTIVE AND CONVECTIVE HEAT TRANSFER

摘要

This paper extends to theree dimensions and to convetive heat transfer the constructal method of minimizing the thermal resistance between a volume and one point. In the first part of the paper, the heat flow mechanism is conduction, and the heat generating volume is occupied by low conductivity material (k_o)and high conductivity inserts (k_p).At the elemental-volume level the inserts are shaped as constant-thickness disks. In the first assembly the disks are mounted on a common stem of k_p material. The internal and external geometric aspect ratios of optimized numerically subject to volume constraints. In the second part of the paper the interstitial spaces once occupied by k_o material are bathed by forced convection.