导热过程不同优化目标的优化准则

Optimization Principles of Different Objectives in Heat Conduction Processes

对于不同目的导热过程存在不同的优化目标。基于传递方程和火积传递方程,分别导出了以降低作功能力耗散为目标的导热过程优化准则和以降低传热能力耗散为目标的导热过程优化准则。以降低作功能力耗散为目标的导热过程优化准则表明,在总导热能力一定的条件下,相对温度梯度分布均匀导热最优;以降低传热能力耗散为目标的导热过程优化准则表明,在总导热能力一定的条件下,温度梯度分布均匀导热最优。

There exist different optimization objectives for different purposes in heat conduction processes.Based on the exergy transfer equation and the entransy transfer equation,we derive two optimization principles,in which one is for the objective of decreasing exergy dissipation and the other for the objective of decreasing heat-transfer capability dissipation.The former optimization principle shows that the temperature gradient in the domain should be uniform to obtain optimal heat conduction efficiency under the given volume-averaged conductivity;and the other shows that the relative temperature gradient in the domain should be uniform to obtain optimal heat conduction efficiency under the given volume-averaged conductivity.