트리구조의 채널형태를 갖는 정방형 냉각판을 대상으로 형상법칙에 근거하여 유동저항이 최소화된 채널구조를 해석적인 방법으로 도출하였다. 두 가지(1차, 2차 형상)의 트리구조에 대해서 유동저항최적화를 수행한 결과, 시스템 크기가 증가할수록 최소화된 무차원 유동저항은 전반적으로 감소하는 경향을 보였다. 또한, 1차, 2차 형상모델 중 압력강하를 기준으로 성능을 판단할 경우, 시스템 크기가 $18^2$ 보다 큰 경우에는 1차 형상보다는 2차 형상이 우수한 결과를 나타내었다.
An analytical study on the flow resistance of tree-shaped channel-flow architectures was carried out based on the principle of the constructal law; the evolutionary increase in the access to currents that flow through the channels with improvements in the flow configurations were studied in a square domain using two diameters. Two types of tree-shaped configurations were optimized. The minimized global flow resistance decreased steadily as the system size $N^2$ increased. From the two channel configurations, the one that resulted in better pressure drop was selected. Further, it was shown that the system performance can be enhanced by adopting the second tree-shaped configurations when the system size is greater than $18^2$.
