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Constructal multi-scale structures for maximal heat transfer density

Author

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  • da Silva, A.K.
  • Lorente, S.
  • Bejan, A.

Abstract

This paper reviews recent constructal-theory advances: the optimal distribution of discrete heat sources cooled by laminar natural convection. Three scenarios are investigated: (i) many small heat sources mounted on a vertical wall, (i) a few small finite-size heat sources mounted on the side wall of a two-dimensional enclosure, and (iii) one heated area on the wall of a vertical diverging or converging channel with chimney flow. In (i) and (ii), the optimally distributed heat sources are not equidistant. In (iii), the geometry changes by varying the space between the walls, the distribution of heating along the walls, and the angle between the two walls. Numerical simulations in the Rayleigh number range 105≤RaH≤107 show that for maximal heat transfer rate density it is better to install heated sections at the channel entrance. The optimal angle between the two walls is approximately zero when RaH is large. The robustness of flow architectures with optimized distribution of heat sources is discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:energy:v:31:y:2006:i:5:p:620-635
    DOI: 10.1016/j.energy.2005.04.011
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    Citations

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    Cited by:

    1. Biswal, Pratibha & Basak, Tanmay, 2014. "Bejan's heatlines and numerical visualization of convective heat flow in differentially heated enclosures with concave/convex side walls," Energy, Elsevier, vol. 64(C), pages 69-94.
    2. Antar, Mohamed A., 2010. "Thermal radiation role in conjugate heat transfer across a multiple-cavity building block," Energy, Elsevier, vol. 35(8), pages 3508-3516.
    3. Baïri, A., 2008. "Transient thermal characteristics of airborne electronic equipment with discrete hot bands in square cavities," Applied Energy, Elsevier, vol. 85(10), pages 951-967, October.
    4. Anandalakshmi, R. & Kaluri, Ram Satish & Basak, Tanmay, 2011. "Heatline based thermal management for natural convection within right-angled porous triangular enclosures with various thermal conditions of walls," Energy, Elsevier, vol. 36(8), pages 4879-4896.
    5. 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.
    6. Kaluri, Ram Satish & Basak, Tanmay, 2010. "Analysis of distributed thermal management policy for energy-efficient processing of materials by natural convection," Energy, Elsevier, vol. 35(12), pages 5093-5107.

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