基于最小热量传递势容耗散原理的导热优化

HEATCONDUCTION OPTIMIZATION BASED ON LEASTDISSIPATION PRINCIPLE OF HEAT TRANSPORT POTENTIAL CAPACITY

导热是一个不可逆过程,它的优化遵循最小热量传递势容耗散原理。本文根据该原理,对体点问题中的高导热材料布置进行了优化。当域内导热系数的积分为定值时,最小热量传递势容耗散对应于导热系数与当地热流成正比,即全场的温度梯度均匀。以温度梯度均匀化为准则,利用仿生优化方法得到了域内有均匀和非均匀热源时高导热材料的最优布置。

Heat conduction is an irreversible process, and its optimization follows the least dissipation principle of heat transport potential capacity. Based on this principle, the arrangement of high conductivity material in volume-to-point problem is optimized. For a given integration of thermal conductivity over the volume, the least dissipation of heat transport potential capacity corresponds to conductivity being proportional to local heat flux, that is, the temperature gradient field is uniform. According to the uniformity principle of temperature gradient, the high conductivity material constructs are optimized by bionic optimization method.