Multi-Objective Constructal Design for Square Heat-Generation Body with “Arrow-Shaped” High-Thermal-Conductivity Channel

Hongwei Zhu, Lingen Chen, Yanlin Ge, Shuangshuang Shi and Huijun Feng
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Hongwei Zhu: Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China
Lingen Chen: Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China
Yanlin Ge: Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China
Shuangshuang Shi: Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China
Huijun Feng: Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China

Energies, 2022, vol. 15, issue 14, 1-15

Abstract: Based on the square heat-generation body (HGB) with “arrow-shaped” high-thermal-conductivity channel (HTCC) model established in the previous literature, we performed multi-objective optimization (MOO) with maximum temperature difference (MTD) minimization and entropy-generation rate (EGR) minimization as optimization objectives for its performance. Pareto frontiers with optimal set were obtained based on NSGA-II. TOPSIS, LINMAP, and Shannon entropy decision methods were used to select the optimal results in Pareto frontiers, and the deviation index was used to compare and analyze advantages and disadvantages of the optimal results for each decision method. At the same time, multi-objective constructal designs of the “arrow-shaped” HTCC were carried out through optimization of single degree of freedom (DOF), two DOF, and three DOF, respectively, and the thermal performance of the square heat-generation body under optimizations of different DOF were compared. The results show that constructal design with the MOO method can achieve the best compromise between the maximum thermal resistance and the irreversible loss of heat transfer of the square heat-generation body, thereby improving the comprehensive thermal performance of the square heat-generation body. The MOO results vary with different DOF, and optimization with increasing DOF can further improve the comprehensive thermal performance of square HGBs.

Keywords: constructal theory; maximum temperature difference; entropy-generation rate; arrow-shaped high-thermal-conductivity channel; multi-objective optimization; generalized thermodynamic optimization (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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