Constructal entransy dissipation rate minimization for X-shaped vascular networks

Feng, Huijun; Xie, Zhihui

doi:10.1007/s11431-018-9392-1

Cited by 18 publications

(3 citation statements)

References 79 publications

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“…[33~36] 、电磁体 [37] 、肋片 [38~43] 、热源 [44,45] 、热沉 [46~48] 、换热器 [49,50] 、蒸汽发生器 [51] 、空腔 [52,53] 、冷却流道 [54,55] 、脉管网络 [56,57] 、绝热壁 [58] 、连铸过程 [59] 、轧钢加热炉 [60,61] 、炼钢转炉 [62] 、轧后冷却过程 [63] 、钢铁生产流程 [64] 等的优化设计中得到应用.…”

Section: 工程界各种结构优化设计问题的解决方案构形理论已经在体点导热unclassified

Constructal design for flat plate collector in a solar ocean thermal energy conversion system

Shi¹,

Feng²,

Chen³

et al. 2021

Sci. Sin.-Tech.

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Section: 工程界各种结构优化设计问题的解决方案构形理论已经在体点导热unclassified

Constructal design for flat plate collector in a solar ocean thermal energy conversion system

Shi¹,

Feng²,

Chen³

et al. 2021

Sci. Sin.-Tech.

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“…Bejan [ 1 ] stated the constructal law after further studying the formation of urban street networks, and applied it to the optimization of the heat dissipation structure of an electronic device (ED) [ 2 ]. Since the introduction of the constructal theory [ 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 ], it has been applied to design various heat dissipation bodies, such as rectangular [ 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 ], triangular [ 32 , 33 , 34 , 35 , 36 , 37 ], square [ 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 ] and discal [ 48 , 49 , 50 , 51 , 52 , 53 ,…”

Section: Introductionmentioning

confidence: 99%

Constructal Design of an Arrow-Shaped High Thermal Conductivity Channel in a Square Heat Generation Body

Feng-yin

Feng

You

et al. 2020

Entropy

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A heat conduction model with an arrow-shaped high thermal conductivity channel (ASHTCC) in a square heat generation body (SHGB) is established in this paper. By taking the minimum maximum temperature difference (MMTD) as the optimization goal, constructal designs of the ASHTCC are conducted based on single, two, and three degrees of freedom optimizations under the condition of fixed ASHTCC material. The outcomes illustrate that the heat conduction performance (HCP) of the SHGB is better when the structure of the ASHTCC tends to be flat. Increasing the thermal conductivity ratio and area fraction of the ASHTCC material can improve the HCP of the SHGB. In the discussed numerical examples, the MMTD obtained by three degrees of freedom optimization are reduced by 8.42% and 4.40%, respectively, compared with those obtained by single and two degrees of freedom optimizations. Therefore, three degrees of freedom optimization can further improve the HCP of the SHGB. Compared the HCPs of the SHGBs with ASHTCC and the T-shaped one, the MMTD of the former is reduced by 13.0%. Thus, the structure of the ASHTCC is proven to be superior to that of the T-shaped one. The optimization results gained in this paper have reference values for the optimal structure designs for the heat dissipations of various electronic devices.

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“…As stated in entransy theory, an equivalent thermal resistance (ETR) can be defined according to the entransy dissipation rate (EDR) Henceforth, many scholars have applied entransy theory [ 47 , 48 , 49 , 50 ] to investigate and improve the heat transfer performances (HTPs) of various thermal systems [ 51 , 52 , 53 , 54 , 55 , 56 ]. By combining entransy theory and constructal theory, the heat conduction problems [ 51 ] as well as convective heat transfer problems of the fins [ 52 , 53 ], heat exchangers [ 54 , 56 ], and vascular networks [ 55 ] were solved, and different optimization results and guidelines for the designs of these problems were provided. Moreover, the debate about entransy is a hot topic [ 57 , 58 , 59 , 60 , 61 , 62 ], whose subjects include the necessity of entransy, physical content of entransy, comparison of entransy and entropy generation, etc.…”

Section: Introductionmentioning

confidence: 99%

Constructal Equivalent Thermal Resistance Minimization for Tau-Shaped Fin

Wei

Feng

2020

Entropy

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With the aid of constructal theory and entransy theory, a Tau-shaped fin (TAUSF) is investigated in this paper, and the widths of the bend end and elemental fins are assumed to be different. The construct of the TAUSF is optimized by the minimum equivalent thermal resistance (ETR) obtained by entransy dissipation rate. The constraints of total enveloping volume and fin material volume are considered. The results show that in the specified range of width ratio, the twice minimum ETR of the TAUSF can be yielded by an optimal width ratio and an optimal length ratio. In addition, comparing the optimal performance of the TAUSF with the counterpart of a T-shaped fin, the former sacrifices a small amount of heat transfer performance and its stiffness increases due to its structure with the bend end. The optimal structure of the TAUSF yielded from ETR minimization is conspicuously different with the counterpart yielded from maximum thermal resistance minimization. Comparing the thermal performances of the two optimal constructs, the ETR of the former optimal construct is declined by 10.58%, whereas the maximum thermal resistance is augmented by 5.22%. The former optimal construct can lead to the uniformity of temperature gradient and the reduction in thermal stress, and can guide the engineering designs of practical fins.

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Constructal entransy dissipation rate minimization for X-shaped vascular networks

Cited by 18 publications

References 79 publications

Constructal design for flat plate collector in a solar ocean thermal energy conversion system

Constructal design for flat plate collector in a solar ocean thermal energy conversion system

Constructal Design of an Arrow-Shaped High Thermal Conductivity Channel in a Square Heat Generation Body

Constructal Equivalent Thermal Resistance Minimization for Tau-Shaped Fin

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