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The area-point constructal optimization for discrete variable cross-section conducting path

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  • Wei, Shuhuan
  • Chen, Lingen
  • Sun, Fengrui

Abstract

According to constructal area-point heat conduction model, the thermal current in the high conductive link increases only at conjunction points. If the optimum number of the lower order constructs which formed higher order constructs is finite, the number of the conjunction points is finite and the thermal current in the high conductive link increases discretely. The cross-section of the high conductive link should be adapted with the change of the thermal current through it. For minimizing the thermal resistance, the more thermal current flows into the high conducting path, the wider the cross-section of the high conducting path should be. A new method based on discrete variable cross-section conducting path is introduced in this paper. Both the case of the elemental area with constant cross-section conducting path and the case of the elemental area with variable cross-section conducting path are discussed. The results show that the minimum of maximum thermal resistance which is obtained through assembling can be obtained by changing the cross-section conducting path based on constructal theory and in each assembly, the optimized minimum thermal resistance based on variable cross-section conducting path element is smaller than that based on constant cross-section conducting path element. When the optimum number of the lower order constructs (ni [greater-or-equal, slanted] 4) which formed higher order constructs is fixed, at the same construct, the constructal optimal method based on discrete variable cross-section conducting path can reduce the thermal resistance further.

Suggested Citation

  • Wei, Shuhuan & Chen, Lingen & Sun, Fengrui, 2009. "The area-point constructal optimization for discrete variable cross-section conducting path," Applied Energy, Elsevier, vol. 86(7-8), pages 1111-1118, July.
    • Handle: RePEc:eee:appene:v:86:y:2009:i:7-8:p:1111-1118
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    References listed on IDEAS

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    1. Bejan, A. & Badescu, V. & De Vos, A., 2000. "Constructal theory of economics," Applied Energy, Elsevier, vol. 67(1-2), pages 37-60, September.
    2. Zhou, Shengbing & Chen, Lingen & Sun, Fengrui, 2007. "Optimization of constructal economics for volume-to-point transport," Applied Energy, Elsevier, vol. 84(5), pages 505-511, May.
    3. Wu, Wenjun & Chen, Lingen & Sun, Fengrui, 2007. "Heat-conduction optimization based on constructal theory," Applied Energy, Elsevier, vol. 84(1), pages 39-47, January.
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    Cited by:

    1. Lucia, Umberto, 2014. "Thermodynamic approach to nano-properties of cell membrane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 185-191.
    2. Feng, Huijun & Chen, Lingen & Xie, Zhihui & Sun, Fengrui, 2015. "“Disc-point” heat and mass transfer constructal optimization for solid–gas reactors based on entropy generation minimization," Energy, Elsevier, vol. 83(C), pages 431-437.
    3. Lucia, Umberto, 2014. "Entropy generation approach to cell systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 1-11.
    4. Hajmohammadi, M.R. & Rahmani, M. & Campo, A. & Joneydi Shariatzadeh, O., 2014. "Optimal design of unequal heat flux elements for optimized heat transfer inside a rectangular duct," Energy, Elsevier, vol. 68(C), pages 609-616.

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