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Constructal entransy dissipation rate minimization for 'disc-to-point' heat conduction

查看全文 作  者:XIAO QingHua CHEN LinGen SUN [1]FengRui 高影响力作者 机构地区:[1]Postgraduate School of Naval University of Engineering, Wuhan 430033, China高影响力机构 出  处:《Chinese Science Bulletin》索引2011年第56卷第1期,共11页高影响力期刊 基  金:supported by the National Natural Science Foundation of China (10905093);the Program for New Century Excellent Talents in University of China (NCET-04-1006);the Foundation for the Author of National Excellent Doctoral Dissertation of China (200136) 摘  要:Based on constructal theory,'disc-to-point' heat conduction is optimized by minimizing the entransy dissipation rate whereby a critical point is determined that distributes the high-conductivity material according to optimized radial or branch patterns.The results show that the critical point is determined by the product of the thermal conductivity ratio of the two materials and the volume fraction of the high-conductivity material allocated to the entire volume.The notion of optimal heat transfer performance can be attributed to the disc based on the entransy dissipation extremum principle.Comparing the results based on EDR minimization (entransy dissipation rate minimization) with those based on MTD minimization (maximum temperature difference minimization),one finds that the performance derived from the two optimization procedures are different.When the product of the thermal conductivity ratio and volume fraction is 30,the critical point of the former procedure is that for which the nondimensional radius of the disc equals 1.75,while that of the latter procedure is that for which this radius of the disc equals 2.18.Comparing heat transfer performances from the two procedures,the mean heat transfer temperature difference is decreased more for the former procedure thereby receiving an improved performance quota. 关 键 词:构形理论 最小化 耗散率 光盘 导热率 高导热材料 优化程序 传热性能
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