Constructal heat trees at micro and nanoscales

摘要: We consider the problem of cooling a two-dimensional heat generating conducting volume with one sink, such that smallest features internal structure are so small conventional description conduction breaks down. The effective thermal conductivity exhibits “size effect,” and is governed by structural dimension, which comparable mean free path energy carriers. According to constructal method, development proceeds from large, in steps geometric optimization assembly. This starts at elemental level, where there only high-conductivity layer for collecting evacuating heat. shape can be optimized minimal resistance. Next, first construct formed optimizing number assembled elements method repeated second several constructs g...