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Constructal optimization for 'disc-point' heat conduction at micro and nanoscales

机译:微米级和纳米级“圆点”热传导的结构优化

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摘要

Based on constructal theory, the construct of a "disc-point" heat conduction model at micro and nanoscales is optimized by taking maximum temperature difference minimization as optimization objective, and the optimal constructs of the radial-pattern and first order branched-pattern discs under the effect of size effect are obtained. The results show that the size effect has an obvious influence on the optimal construct of the disc. The minimum dimensionless maximum temperature difference of the first order disc for structure form nn is relative to the number of elemental tributaries, but those for structure forms nb and bb are independent of the number of elemental tributaries. There exist the critical dimensionless radiuses, which determine whether the radial-pattern design or branched-pattern design for the high conductivity channels is adopted. The critical dimensionless radiuses of the first order branched-pattern discs for the structure forms nn, nb and bb are 1.25,1.72 and 2.18, respectively. With the increase in the product of thermal conductivity ratio and the square of elemental high conductivity material fraction, the minimum dimensionless thermal resistance of the first order disc for structure form nn decreases, but that for structure form nb is undetermined. The optimal "disc-point" construct at micro and nanoscales improves the heat transfer performance of the disc.
机译:基于构造理论,以最大温差最小化为优化目标,优化了微米级和纳米级“圆点”导热模型的构造,并在此条件下优化了径向模式和一阶分支模式圆盘的构造。获得了尺寸效应的效果。结果表明,尺寸效应对光盘的最佳构造有明显的影响。结构形式nn的一阶圆盘的最小无量纲最大温差与元素支流的数量有关,但是结构形式nb和bb的最小无量纲最大温差与元素支流的数量无关。存在关键的无量纲半径,该半径决定了对于高电导率通道采用径向模式设计还是分支模式设计。结构形式nn,nb和bb的一阶分支模式圆盘的临界无量纲半径分别为1.25、1.72和2.18。随着导热率与元素高导热率材料的平方乘积的增加,结构形式nn的一阶圆盘的最小无量纲热阻减小,而结构形式nb的最小无量纲热阻不确定。微米和纳米级的最佳“圆点”构造可改善光盘的传热性能。

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  • 作者单位

    Institute of Thermal Science and Power Engineering, Naval University of Engineering, Wuhan 430033, PR China, Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering, Wuhan 430033, PR China, College of Power Engineering, Naval University of Engineering, Wuhan 430033, PR China;

    Institute of Thermal Science and Power Engineering, Naval University of Engineering, Wuhan 430033, PR China, Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering, Wuhan 430033, PR China, College of Power Engineering, Naval University of Engineering, Wuhan 430033, PR China;

    Institute of Thermal Science and Power Engineering, Naval University of Engineering, Wuhan 430033, PR China, Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering, Wuhan 430033, PR China, College of Power Engineering, Naval University of Engineering, Wuhan 430033, PR China;

    Institute of Thermal Science and Power Engineering, Naval University of Engineering, Wuhan 430033, PR China, Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering, Wuhan 430033, PR China, College of Power Engineering, Naval University of Engineering, Wuhan 430033, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Constructal theory; Maximum temperature difference; Micro and nanoscales; Disc-point heat conduction; Generalized thermodynamic optimization;

    机译:建构理论;最大温差;微米和纳米级;盘点热传导;广义热力学优化;

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