针对H形对流传热脉管,以脉管区域面积和通道总表面积为约束,在线热流密度恒定时,基于熵产生最小化进行了构形优化,给出了无量纲总熵产量和无量纲单位传热负荷的总熵产率与脉管组合级数、无量纲质量流量和无量纲泵功率的完整解析关系式及优化算例。结果表明:给定通道总表面积与文献中给定通道总体积约束的优化结果是不同的;无量纲单位传热负荷的总熵产率随组合级数增大而减小,脉管综合性能得到改善,且增加脉管组合级数以改善脉管性能存在阈值;流阻最小化的优化结果为结果特例。
The constructal optimization for H-shaped vasculature with convective heat transfer was carried out based on entropy generation minimization with the constraints of total area occupied by vasculature and total surface area of channels,when heat flow per unit length was specified.The analytical correlations and numerical examples of the dimensionless total entropy generation rate and the dimensionless total entropy generation rate per unit heat transfer load versus the number of assembly degree,dimensionless mass flow rate and dimensionless pumping power,were presented.The results show that the optimization results with the constraint of specified total surface area of channels are different from those with the constraint of specified total volume of channels obtained in the previous literature;the dimensionless total entropy generation rate per unit heat transfer load decreases with the increase of the number of assembly degree,the comprehensive performance of the vasculature is improved,and the increase of assembly number to improve the comprehensive performance of vasculature has a threshold value.The result obtained based on the minimization of flow resistance is a special case of this paper.Key wrods: constructal theory;vasculature;convective heat transfer;entropy generation;generalized thermodynamic optimization