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Optimal design of unequal heat flux elements for optimized heat transfer inside a rectangular duct

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  • Hajmohammadi, M.R.
  • Rahmani, M.
  • Campo, A.
  • Joneydi Shariatzadeh, O.

Abstract

When the total amount of thermal energy is fixed in a device, it is important to keep the highest temperatures (hot spots) of the device at the minimum level. The present paper deals with the optimal design of heat flux elements mounted on the outer walls of a rectangular duct. The total amount of heat load is fixed and is transferred by in-duct laminar forced convection. The objective is to minimize the hot spots temperature under the platform of constructal design. A numerical simulation is carried out to calculate the hot spots temperatures. The numerical results suggest that the equal heat flux elements (uniform heating) customarily used in industry must be avoided. By conducting a detailed optimization process, it is shown that there exists an optimum ‘descending’ distribution for the unequal heat flux elements that minimizes the hot spot temperatures. The influence of Graetz number and the number of unequal heat flux elements on the temperature reduction is studied. For instance, compared with the case of uniform heating, it is shown that the hot spot temperature is reduced up to 25% in the case of four unequal heat flux element under the influence of intermediate values of Graetz number.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:energy:v:68:y:2014:i:c:p:609-616
    DOI: 10.1016/j.energy.2014.02.011
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    References listed on IDEAS

    as
    1. Hajmohammadi, M.R. & Eskandari, H. & Saffar-Avval, M. & Campo, A., 2013. "A new configuration of bend tubes for compound optimization of heat and fluid flow," Energy, Elsevier, vol. 62(C), pages 418-424.
    2. 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.
    3. Huang, Yu-Xian & Wang, Xiao-Dong & Cheng, Chin-Hsiang & Lin, David Ta-Wei, 2013. "Geometry optimization of thermoelectric coolers using simplified conjugate-gradient method," Energy, Elsevier, vol. 59(C), pages 689-697.
    4. da Silva, A.K. & Lorente, S. & Bejan, A., 2006. "Constructal multi-scale structures for maximal heat transfer density," Energy, Elsevier, vol. 31(5), pages 620-635.
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    Cited by:

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    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.
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    5. Lucia, Umberto, 2016. "Econophysics and bio-chemical engineering thermodynamics: The exergetic analysis of a municipality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 421-430.

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