Constructal optimization for “disc-to-point” heat conduction without the premise of optimized last-order construct

Based on constructal theory, branch-patterned disc with first- (or higher-) order assembly is optimized based on constructal minimization of maximum temperature difference without the premise that elemental sectors that assemble the perimeter of the branch-patterned disc are optimal. Results show that the optimal constructs without the premise and that with the premise are different obviously with the same conditions, maximum temperature difference of heat transfer without the premise decreases by 49.3%, and every optimal branch-patterned disc with higher-order assembly reduces to a branch-patterned disc with first-order assembly. The optimal construct obtained in this paper decreases the maximum thermal resistance greatly.