{"title":"最大温差和熵产率最小的叉形空腔多目标结构设计","authors":"Hongwei Zhu , Lingen Chen , Huijun Feng , Yanlin Ge","doi":"10.1016/j.tsep.2025.104161","DOIUrl":null,"url":null,"abstract":"<div><div>Constructal design for a fork-shaped cavity model with maximum-temperature-difference (MTD) minimization was performed previously. Herein, it is studied furtherly. Firstly, constructal designs considering entropy-generation-rate (EGR) minimization are performed under cases of rectangular solid wall with heat-generation and heated externally, and are compared with results considering MTD minimization. Aspect ratio (<span><math><mrow><msub><mi>H</mi><mn>0</mn></msub><mo>/</mo><msub><mi>L</mi><mn>0</mn></msub></mrow></math></span>) of fork-shaped cavity is taken as design variable, and influences of aspect ratio (<span><math><mrow><mi>H</mi><mo>/</mo><mi>L</mi></mrow></math></span>) of rectangular solid wall, porosity (<span><math><mrow><mi>Φ</mi></mrow></math></span>) of fork-shaped cavity and number (<span><math><mrow><mi>N</mi></mrow></math></span>) of branches of fork-shaped cavity on constructal designs are studied. Secondly, constructal designs are performed by minimizing a composite-function of linear weighting-sum of EGR and MTD. Thirdly, multi-objective constructal designs are performed based on NSGA-II, and deviation indexes with three decision-making methods are compared to determine design schemes. When <span><math><mrow><mi>Φ</mi><mo>=</mo><mn>0.6</mn></mrow></math></span>, <span><math><mrow><mi>H</mi><mo>/</mo><mi>L</mi><mo>=</mo><mn>1</mn></mrow></math></span> and <span><math><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></math></span>, under two cases, optimal <span><math><mrow><msub><mi>H</mi><mn>0</mn></msub><mo>/</mo><msub><mi>L</mi><mn>0</mn></msub></mrow></math></span> considering EGR minimization are 0.79 and 0.61 respectively, while optimal <span><math><mrow><msub><mi>H</mi><mn>0</mn></msub><mo>/</mo><msub><mi>L</mi><mn>0</mn></msub></mrow></math></span> considering MTD minimization are 0.7 and 0.664 respectively; composite functions are decreased by 21.06% and 1.29% compared to their initial designs respectively; optimal <span><math><mrow><msub><mi>H</mi><mn>0</mn></msub><mo>/</mo><msub><mi>L</mi><mn>0</mn></msub></mrow></math></span> gained in Pareto frontiers are located between 0.7–0.79 and 0.61–0.664 respectively, and results of TOPSIS decision-making method have the smallest deviation indexes, and are selected as the best compromise design schemes. The major contribution herein are introducing EGR minimization objective into constructal-design for fork-shaped cavities with different conditions, and realizing MOOs for cavities with weighting-sum function, NSGA-II and three decision-making methods.</div></div>","PeriodicalId":23062,"journal":{"name":"Thermal Science and Engineering Progress","volume":"67 ","pages":"Article 104161"},"PeriodicalIF":5.4000,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multi-objective constructal designs for fork-shaped cavities with minimizing maximum-temperature-difference and entropy-generation-rate\",\"authors\":\"Hongwei Zhu , Lingen Chen , Huijun Feng , Yanlin Ge\",\"doi\":\"10.1016/j.tsep.2025.104161\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Constructal design for a fork-shaped cavity model with maximum-temperature-difference (MTD) minimization was performed previously. Herein, it is studied furtherly. Firstly, constructal designs considering entropy-generation-rate (EGR) minimization are performed under cases of rectangular solid wall with heat-generation and heated externally, and are compared with results considering MTD minimization. Aspect ratio (<span><math><mrow><msub><mi>H</mi><mn>0</mn></msub><mo>/</mo><msub><mi>L</mi><mn>0</mn></msub></mrow></math></span>) of fork-shaped cavity is taken as design variable, and influences of aspect ratio (<span><math><mrow><mi>H</mi><mo>/</mo><mi>L</mi></mrow></math></span>) of rectangular solid wall, porosity (<span><math><mrow><mi>Φ</mi></mrow></math></span>) of fork-shaped cavity and number (<span><math><mrow><mi>N</mi></mrow></math></span>) of branches of fork-shaped cavity on constructal designs are studied. Secondly, constructal designs are performed by minimizing a composite-function of linear weighting-sum of EGR and MTD. Thirdly, multi-objective constructal designs are performed based on NSGA-II, and deviation indexes with three decision-making methods are compared to determine design schemes. When <span><math><mrow><mi>Φ</mi><mo>=</mo><mn>0.6</mn></mrow></math></span>, <span><math><mrow><mi>H</mi><mo>/</mo><mi>L</mi><mo>=</mo><mn>1</mn></mrow></math></span> and <span><math><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></math></span>, under two cases, optimal <span><math><mrow><msub><mi>H</mi><mn>0</mn></msub><mo>/</mo><msub><mi>L</mi><mn>0</mn></msub></mrow></math></span> considering EGR minimization are 0.79 and 0.61 respectively, while optimal <span><math><mrow><msub><mi>H</mi><mn>0</mn></msub><mo>/</mo><msub><mi>L</mi><mn>0</mn></msub></mrow></math></span> considering MTD minimization are 0.7 and 0.664 respectively; composite functions are decreased by 21.06% and 1.29% compared to their initial designs respectively; optimal <span><math><mrow><msub><mi>H</mi><mn>0</mn></msub><mo>/</mo><msub><mi>L</mi><mn>0</mn></msub></mrow></math></span> gained in Pareto frontiers are located between 0.7–0.79 and 0.61–0.664 respectively, and results of TOPSIS decision-making method have the smallest deviation indexes, and are selected as the best compromise design schemes. The major contribution herein are introducing EGR minimization objective into constructal-design for fork-shaped cavities with different conditions, and realizing MOOs for cavities with weighting-sum function, NSGA-II and three decision-making methods.</div></div>\",\"PeriodicalId\":23062,\"journal\":{\"name\":\"Thermal Science and Engineering Progress\",\"volume\":\"67 \",\"pages\":\"Article 104161\"},\"PeriodicalIF\":5.4000,\"publicationDate\":\"2025-09-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Thermal Science and Engineering Progress\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2451904925009527\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENERGY & FUELS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Thermal Science and Engineering Progress","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2451904925009527","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENERGY & FUELS","Score":null,"Total":0}
Multi-objective constructal designs for fork-shaped cavities with minimizing maximum-temperature-difference and entropy-generation-rate
Constructal design for a fork-shaped cavity model with maximum-temperature-difference (MTD) minimization was performed previously. Herein, it is studied furtherly. Firstly, constructal designs considering entropy-generation-rate (EGR) minimization are performed under cases of rectangular solid wall with heat-generation and heated externally, and are compared with results considering MTD minimization. Aspect ratio () of fork-shaped cavity is taken as design variable, and influences of aspect ratio () of rectangular solid wall, porosity () of fork-shaped cavity and number () of branches of fork-shaped cavity on constructal designs are studied. Secondly, constructal designs are performed by minimizing a composite-function of linear weighting-sum of EGR and MTD. Thirdly, multi-objective constructal designs are performed based on NSGA-II, and deviation indexes with three decision-making methods are compared to determine design schemes. When , and , under two cases, optimal considering EGR minimization are 0.79 and 0.61 respectively, while optimal considering MTD minimization are 0.7 and 0.664 respectively; composite functions are decreased by 21.06% and 1.29% compared to their initial designs respectively; optimal gained in Pareto frontiers are located between 0.7–0.79 and 0.61–0.664 respectively, and results of TOPSIS decision-making method have the smallest deviation indexes, and are selected as the best compromise design schemes. The major contribution herein are introducing EGR minimization objective into constructal-design for fork-shaped cavities with different conditions, and realizing MOOs for cavities with weighting-sum function, NSGA-II and three decision-making methods.
期刊介绍:
Thermal Science and Engineering Progress (TSEP) publishes original, high-quality research articles that span activities ranging from fundamental scientific research and discussion of the more controversial thermodynamic theories, to developments in thermal engineering that are in many instances examples of the way scientists and engineers are addressing the challenges facing a growing population – smart cities and global warming – maximising thermodynamic efficiencies and minimising all heat losses. It is intended that these will be of current relevance and interest to industry, academia and other practitioners. It is evident that many specialised journals in thermal and, to some extent, in fluid disciplines tend to focus on topics that can be classified as fundamental in nature, or are ‘applied’ and near-market. Thermal Science and Engineering Progress will bridge the gap between these two areas, allowing authors to make an easy choice, should they or a journal editor feel that their papers are ‘out of scope’ when considering other journals. The range of topics covered by Thermal Science and Engineering Progress addresses the rapid rate of development being made in thermal transfer processes as they affect traditional fields, and important growth in the topical research areas of aerospace, thermal biological and medical systems, electronics and nano-technologies, renewable energy systems, food production (including agriculture), and the need to minimise man-made thermal impacts on climate change. Review articles on appropriate topics for TSEP are encouraged, although until TSEP is fully established, these will be limited in number. Before submitting such articles, please contact one of the Editors, or a member of the Editorial Advisory Board with an outline of your proposal and your expertise in the area of your review.