Improvement of constructal tree-like network for “volume-point” heat conduction with variable cross-section conducting path and without the premise of optimal last-order construct

Wu, Wenjun; Chen, Lingen; Xie, Zhihui; Sun, Fengrui

doi:10.1016/j.icheatmasstransfer.2015.07.001

Cited by 12 publications

(6 citation statements)

References 56 publications

(126 reference statements)

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“…Encouraged by the solution for the optimal fin shape, a power‐law shape for the unknown function

D_{1} false(x false)

is adopted 16,20

D_{1} false(x false) = c_{1} x^{m_{1}},

where c 1 and m 1 are constant factors. Substituting these forms in Equation (15):

\frac{d T}{d x} = - \frac{q ‴ i^{2} L_{1}^{1 - m_{1}} H_{1}}{c_{1} n^{2 - m_{1}} k_{normalc} {(i - 0.5)}^{m_{1}}} = - ϕ_{i} at x = false(i - 0.5 false) L_{1} / n .

…”

Section: Two‐dimensional Bionic Quadrilateral Volumementioning

confidence: 99%

“…Bejan created the famous constructal theory 1‐5 and first applied the research on volume‐point heat‐conducting problems to cool electronic devices 6 . So far, many further research works 7‐41 on this problem have been carried out on the basis of Bejan's work.…”

Section: Introductionmentioning

confidence: 99%

“…Wu et al 15 relaxed the constraints and optimized the high‐conductivity link; a decrease of about 30% in the peak temperature was observed. They also reoptimized tree‐like heat conduction by relaxing the constraints; the peak thermal resistance of the new element area was observed to be decreased by 6% 16 . On the basis of studies reported by References [15,16], Xiao et al 17 investigated the heat conduction process of disc‐point structures.…”

Section: Introductionmentioning

confidence: 99%

“…Following the success of constructal theory, some scientists considered the natural branching systems, such as leaf veins, as concept generators for the heat‐conducting design 42,43 . However, the volume‐point constructs of References [8‐41] mainly include rectangular, triangular, and parabolic‐shaped constructs, and few of them are similar to the constructs of common plant leaves, such as the leaf of Rohdea japonica (evergreen) shown in Figure 1. Do these existing shapes perform higher thermal conductivity than shapes of leaf veins?…”

Section: Introductionmentioning

confidence: 99%

“…They also reoptimized tree‐like heat conduction by relaxing the constraints; the peak thermal resistance of the new element area was observed to be decreased by 6% 16 . On the basis of studies reported by References [15,16], Xiao et al 17 investigated the heat conduction process of disc‐point structures. Eslami et al 18 proposed a simple formulation for the thermal resistance of heat‐generating volumes.…”

Section: Introductionmentioning

confidence: 99%

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Optimal design of conductive natural branched pathways for cooling a heat‐generating volume

Feng

2020

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The application of constructal networks to cool a heat‐generating volume has been the subject of many research studies in the past decade. However, the current volume‐point constructs mainly include rectangular, triangular, and parabolic‐shaped constructs, and none of them are similar to the constructs of common plant leaves in nature. A bionic quadrilateral volume based on the shape of common leaf veins is proposed, and the heat‐conductive model of the quadrilateral volume is established. The analysis results show that the minimal peak temperature difference can be as low as 1.3k when the porosity α1 of the quadrilateral volume is equal to 0.15; the recommended value of interval number n of central link is 30, the optimal value of exponent m1 of the width of central link is about 0.9; and the optimal value of the aspect ratio H1/L1 remains nearly constant at 0.7. When the quadrilateral volume obtains highest heat conductivity, the branching cooling links should be perpendicular to the central link.

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“…Encouraged by the solution for the optimal fin shape, a power‐law shape for the unknown function