“Volume-point” heat conduction constructal optimization based on minimization of maximum thermal resistance with triangular element at micro and nanoscales

Feng, Huijun; Xie, Zhuojun; Sun, Fengrui

doi:10.1016/j.joei.2015.01.016

Cited by 22 publications

(8 citation statements)

References 34 publications

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“…Ghodoossi and Egrican [ 22 ] found that the optimization result was not the same as that derived in Reference [ 9 ] when an exact solution was adopted in the constructal optimization, and Wu et al [ 23 ] gave further reason for the result difference by using new equivalent thermal conductivity. The heat conduction problems were further extended to rectangular bodies with discrete variable cross-sections [ 24 ], X- [ 25 ], V- [ 26 ], “+” [ 27 ], I- [ 28 ], and T-shaped [ 29 ] high conductivity channels (HCCs), non-uniform heat generation [ 30 ] and triangular [ 31 , 32 ] and disc-shaped [ 33 , 34 ] bodies of different scales. Neagu and Bejan [ 35 ] and Wu et al [ 36 ] tried to improve the heat conduction performances (HCPs) of rectangular bodies by using a tapered structure and a global constructal optimization method, and reduced the maximum thermal resistances (MTRs) of the bodies by 33% and 45%, respectively.…”

Section: Constructal Optimizations Based On the Entransy Dissipatimentioning

confidence: 99%

Constructal Optimizations for Heat and Mass Transfers Based on the Entransy Dissipation Extremum Principle, Performed at the Naval University of Engineering: A Review

Chen

Xiao

2018

Entropy

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Combining entransy theory with constructal theory, this mini-review paper summarizes the constructal optimization work of heat conduction, convective heat transfer, and mass transfer problems during the authors’ working time in the Naval University of Engineering. The entransy dissipation extremum principle (EDEP) is applied in constructal optimizations, and this paper is divided into three parts. The first part is constructal entransy dissipation rate minimizations of heat conduction and finned cooling problems. It includes constructal optimization for a “volume-to-point” heat-conduction assembly with a tapered element, constructal optimizations for “disc-to-point” heat-conduction assemblies with the premise of an optimized last-order construct and without this premise, and constructal optimizations for four kinds of fin assemblies: T-, Y-, umbrella-, and tree-shaped fins. The second part is constructal entransy dissipation rate minimizations of cooling channel and steam generator problems. It includes constructal optimizations for heat generating volumes with tree-shaped and parallel channels, constructal optimization for heat generating volume cooled by forced convection, and constructal optimization for a steam generator. The third part is constructal entransy dissipation rate minimizations of mass transfer problems. It includes constructal optimizations for “volume-to-point” rectangular assemblies with constant and tapered channels, and constructal optimizations for “disc-to-point” assemblies with the premise of an optimized last-order construct and without this premise. The results of the three parts show that the mean heat transfer temperature differences of the heat conduction assemblies are not always decreased when their internal complexity increases. The average heat transfer rate of the steam generator obtained by entransy dissipation rate maximization is increased by 58.7% compared with that obtained by heat transfer rate maximization. Compared with the rectangular mass transfer assembly with a constant high permeability pathway (HPP), the maximum pressure drops of the element and first-order assembly with tapered HPPs are decreased by 6% and 11%, respectively. The global transfer performances of the transfer bodies are improved after optimizations, and new design guidelines derived by EDEP, which are different from the conventional optimization objectives, are provided.

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Section: Constructal Optimizations Based On the Entransy Dissipatimentioning

confidence: 99%

Constructal Optimizations for Heat and Mass Transfers Based on the Entransy Dissipation Extremum Principle, Performed at the Naval University of Engineering: A Review

Chen

Xiao

2018

Entropy

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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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“…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%

“…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%

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

Feng

2020

Heat Trans

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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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“Volume-point” heat conduction constructal optimization based on minimization of maximum thermal resistance with triangular element at micro and nanoscales

Cited by 22 publications

References 34 publications

Constructal Optimizations for Heat and Mass Transfers Based on the Entransy Dissipation Extremum Principle, Performed at the Naval University of Engineering: A Review

Constructal Optimizations for Heat and Mass Transfers Based on the Entransy Dissipation Extremum Principle, Performed at the Naval University of Engineering: A Review

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

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

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