射流通道内方柱发热器件的几何设计

Geometry Design of Square Column Heating Devices in Jet Channels

基于构形理论,建立了二维射流通道内导热基座上方柱离散热源的散热优化模型.给定离散热源的总纵截面面积和热源高度为约束条件,以系统最高温度和熵产率为优化目标,以各热源的长度比为优化变量进行了几何设计,并分析了射流速度和热源间距对热源最优构形的影响.当射流速度和热源间距给定时,均存在最优长度比使系统最高温度和熵产率最低,但对应不同射流速度和热源间距的最优长度比不同.研究结果可为方柱发热器件的热设计提供理论指导.

Based on the constructal theory,a heat dissipation optimization model for discrete square column heating devices on thermal conduction bases in 2D jet channels was established.With the total longitudinal section area and the discrete heat source height as constraints,the maximum temperature and entropy production rate of the system were taken as optimization objectives,and the length ratio of each heating device was taken as the optimization variables in the geometry design.The effects of the jet velocity and the heating device spacing on the constructal optimization of the heating device were analyzed.When the jet velocity and the heating device spacing are fixed,there will exist optimal length ratios to minimize the maximum temperature and the entropy production rate of the system,but the optimal length ratios corresponding to different jet velocities and different heating devices spacings are different.The results provide a theoretical guidance for the thermal design of square column heating devices.