高导热材料非均匀分布对[火积]耗散率最小化矩形单元体构形的影响  

Effect of non-uniform distributed high thermal conductivity material on constructal entransy dissipation rate minimization of a rectangular assembly

作　　者：汤创 陈林根 冯辉君 戈延林 TANG Chuang;CHEN Lin-gen;FENG Hui-jun;GE Yan-lin

机构地区：[1]武汉工程大学热科学与动力工程研究所,湖北武汉430205 [2]湖北省绿色化工装备工程技术研究中心,湖北武汉430205 [3]武汉工程大学机电工程学院,湖北武汉430205

出　　处：《节能》2023年第6期34-39,共6页Energy Conservation

基　　金：国家自然科学基金(项目编号:52171317);武汉工程大学研究生教育创新基金(项目编号:CX2021050)。

摘　　要：应用构形理论和[火积]理论,研究矩形单元构造体内变截面高导热材料的非均匀分布问题,导出构造体内高导热材料非均匀分布时的[火积]耗散率,得到[火积]耗散率最小时高导热材料的最优分布,并采用释放上一级构造体最优约束方法对构造体散热性能开展进一步优化。结果显示:对于一级构造体,各单元体内的高导热材料均匀分布(每个单元体内的高导热材料用量相等)时,其[火积]耗散率最小;随着构造体级数的增加,高导热材料仍为均匀分布时,结果与一级构造体的相同,与最大温差最小时高导热材料非均匀分布的结果不同。通过释放上一级构造体最优约束可以进一步降低构造体[火积]耗散率,如三级矩形单元构造体释放该约束后其[火积]耗散率降低41.93%。理论结果对工程实际散热设计具有一定的理论指导意义。By using constructal theory and entransy theory,the non-uniform distribution problem of high thermal conductivity material with variable cross-section in a rectangular assembly is studied,and the entransy dissipation rate of high thermal conductivity material in assembly is derived.The optimal distribution of the high thermal conductivity material with minimum entransy dissipation rate is derived,and the heat dissipation performance of the rectangular assembly is further optimized by releasing the constraint of optimized last order construct.The results show that for the first order assembly,when the high thermal conductivity material is uniformly distributed in each element,the entransy dissipation rate can reach its minimum.With the increase of the order of the constructs,the results are the same as those of the first order assembly.These results are different from those of the rectangular assembly with minimum maximum temperature difference.The entransy dissipation rate of the rectangular assembly can further reduced by releasing the constraint of optimized last order construct.For example,the entransy dissipation rate of the rectangular third order assembly is reduced by 41.93%after the releasing constraint method is adopted.The theoretical results gained has certain theoretical guiding significance for the practical heat dissipation designs in engineering.

关 键 词：构形理论 [火积]理论 导热构形优化 矩形单元构造体 高导热材料非均匀分布 

分 类 号：TK124[动力工程及工程热物理—工程热物理]