Design explorations of heat conductive pathways. (January 2017)

• Record Type: Journal Article
• Authors: Manuel, Mark Christian E.; Lin, Po Ting
• Is Part Of: International journal of heat and mass transfer. Volume 104(2017:Jan.)
• Page Start: 835
• Page End: 851
• Publication Date: 2017-01
• Subjects: Constructal -- Heat conduction -- Topology optimization -- Material property models -- Access problem; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2016.08.077
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: Revisit on the basic access problem and 3 solution methods. Density based topology optimization was used to perform design explorations. 100 different designs are explored by changing the material interpolation model, comparisons made with constructal geometry. 60 designs performed better with T max considered. Best design reported 2.84 times lower. 80 designs performed better with T ave considered. Best design reported 4.79 times lower. Abstract: Constructal theory, now called constructal law, has influenced and driven a significant amount of research and attention over the past 2 decades due to its significance in understanding designs found in nature. It is worth to remember that the origins of constructal law can be traced back to the design of heat conduction paths, alternatively called access problem, in Bejan's 1996 paper. However, it is evident that although branching designs are generated, geometric and 'constructal' constraints are always present and often not relaxed in their designs. In this paper, additional design explorations to solutions for the access problem are sought and discussed. Density based topology optimization under 6 different, tunable material interpolation models are chosen since design explorations can be considered to be straightforward for finding solutions and the design process is relaxed. The variation in the material property model highlights the importance of search spaces in any design process. To give fair comparisons, the final designs obtained from the optimization process are projected as 0–1 designs. The results reveal other topologies that perform better as compared to two constructal design cases. The significant difference starting from the fundamentals of constructal designs is also discussed.