Multi-objective constructal design for compound heat dissipation channels in a three-dimensional trapezoidal heat generation body

Zhang, Zhiming; Feng, Huijun; Ge, Yanlin

doi:10.1016/j.icheatmasstransfer.2021.105584

Cited by 31 publications

(4 citation statements)

References 68 publications

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“…Optimizing the MTD or EGR of the quadrilateral HGB alone cannot fully reflect the comprehensive heat transfer performance of the quadrilateral HGB. Therefore, a complex function composed of the MTD and the EGR based on the linear weighting method [ 70 , 71 ] is established:

where

is the weighting coefficient, and

(

) and

(

) are the MTD and EGR of the HGB under the initial structure, respectively.…”

Section: Multi-objective Constructal Designsmentioning

confidence: 99%

“…Chen et al [ 70 ] proposed a non-uniform disc HGB model considering the thermal and flow performance and performed the constructal design by minimizing the complex function with the objectives of the MTD and pumping power consumption (PPC) in the HGB. Zhang et al [ 71 ] obtained the optimal constructal of the trapezoidal HGB with heat conduction and flow by minimizing the complex function with the objectives of the EGR and PPC. Furthermore, the NSGA-II is used to perform MOO on this problem to obtain the Pareto frontier.…”

Section: Introductionmentioning

confidence: 99%

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Multi-Objective Constructal Design for Quadrilateral Heat Generation Body with Vein-Shaped High Thermal Conductivity Channel

Zhu

Chen

et al. 2022

Entropy

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Based on the quadrilateral heat generation body (HGB) proposed by previous literature, the multi-objective constructal design is performed. Firstly, the constructal design is performed by minimizing the complex function composed of the maximum temperature difference (MTD) and entropy generation rate (EGR), and the influence of the weighting coefficient (a0) on the optimal constructal is studied. Secondly, the multi-objective optimization (MOO) with the MTD and EGR as optimization objectives is performed, and the Pareto frontier with an optimal set is obtained by using NSGA-II. The optimization results are selected from the Pareto frontier through LINMAP, TOPSIS, and Shannon Entropy decision methods, and the deviation indexes of different objectives and decision methods are compared. The research of the quadrilateral HGB shows that the optimal constructal can be gained by minimizing the complex function with the objectives of the MTD and the EGR, the complex function after the constructal design is reduced by up to 2% compared with its initial value, and the complex function of the two reflects the compromise between the maximum thermal resistance and the irreversible loss of heat transfer. The Pareto frontier includes the optimization results of different objectives, and when the weighting coefficient of a complex function changes, the optimization results obtained by minimizing the complex function will also be distributed in the Pareto frontier. The deviation index of the TOPSIS decision method is 0.127, which is the lowest one among the discussed decision methods.

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where

is the weighting coefficient, and

(

) and

(

) are the MTD and EGR of the HGB under the initial structure, respectively.…”

Section: Multi-objective Constructal Designsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multi-Objective Constructal Design for Quadrilateral Heat Generation Body with Vein-Shaped High Thermal Conductivity Channel

Zhu

Chen

et al. 2022

Entropy

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“…Their study provided guidelines for thermal design using constructal theory. Zhang et al 23 created a three‐dimensional (3D) model of a heat dissipation channel in a trapezoidal body. The optimal goals within constructal theory were the maximum temperature difference and pumped energy consumption.…”

Section: Introductionmentioning

confidence: 99%

Constructal design of a PCM cylindrical heat sink with three‐branched, two‐stages dendritic tubes

Ridha,

Ezzat

2024

Heat Trans

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Amputees who use prosthetic limbs suffer from the problem of high contact temperature between the socket of the prosthetic limb and the amputated part and lack of evaporation of sweat. These conditions lead to discomfort and failure to perform functions properly. In addition, these conditions help generate ulcers and accumulate harmful bacteria in this area. This paper presents a heatsink design to extract heat from the contact area. A cylindrical heat sink is designed for phase‐changing materials with three branched tubes in two stages. The current heat sink is used to cool the contact area between the amputated part and the socket in the lower prostheses. Three distributions of pipe branches are proposed. The distribution and pipe lengths were obtained using a constructal design method. In the constructal design, the lengths of the branched tubes were the degrees of freedom, the objective function was the minimization of the inlet temperature to the heat sink, and the constraint was the volume of the cylindrical heat sink. The metabolic heat transfer during exercise was estimated and its value was used to calculate the size of the cylindrical heatsink and the selection of the phase change material by testing three of them: water, tridecane, and dodecane. It was found that water gives the highest latent heat of melting and the lowest volume in addition to its availability. On the other hand, two cooling fluids were tested: water and air. It was found that water as a cooling fluid gave the lowest flow and the largest heat capacity. Constructal theory was used to design a cylindrical heat sink using branched tubes for the coolant in two steps: the first with three branches, and the second with nine branches. The degree of freedom for constructal theory was the length of the branches through the choice of their end locations. It was found that the branches of the highest length led to a reduction in temperature from 40°C to 15.48°C compared with the single tube, which reduced the temperature to 23.87°C. All tests recorded a pressure drop within the acceptable range of 3.1–5.43 Pa for the branches examined. The research demonstrated that using constructal theory achieved the best thermal dissipation within a restricted volume.

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“…In particular, some scholars have demonstrated constructal design based on the NSGA-II. Zhang et al [50] performed MOO for a trapezoidal HGB with heat conduction and flow, taking the EGR and the pumping power consumption as objectives, obtained the Pareto frontier based on the NSGA-II, and selected the optimal result using the TOPSIS decision method. Feng et al [51] performed MOO for marine condensers and compared the optimization results of single-objective optimization and three decision methods based on the deviation index.…”

Section: Introductionmentioning

confidence: 99%

Multi-Objective Constructal Design for Square Heat-Generation Body with “Arrow-Shaped” High-Thermal-Conductivity Channel

Zhu

Chen

et al. 2022

Energies

Self Cite

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Based on the square heat-generation body (HGB) with “arrow-shaped” high-thermal-conductivity channel (HTCC) model established in the previous literature, we performed multi-objective optimization (MOO) with maximum temperature difference (MTD) minimization and entropy-generation rate (EGR) minimization as optimization objectives for its performance. Pareto frontiers with optimal set were obtained based on NSGA-II. TOPSIS, LINMAP, and Shannon entropy decision methods were used to select the optimal results in Pareto frontiers, and the deviation index was used to compare and analyze advantages and disadvantages of the optimal results for each decision method. At the same time, multi-objective constructal designs of the “arrow-shaped” HTCC were carried out through optimization of single degree of freedom (DOF), two DOF, and three DOF, respectively, and the thermal performance of the square heat-generation body under optimizations of different DOF were compared. The results show that constructal design with the MOO method can achieve the best compromise between the maximum thermal resistance and the irreversible loss of heat transfer of the square heat-generation body, thereby improving the comprehensive thermal performance of the square heat-generation body. The MOO results vary with different DOF, and optimization with increasing DOF can further improve the comprehensive thermal performance of square HGBs.

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Multi-objective constructal design for compound heat dissipation channels in a three-dimensional trapezoidal heat generation body

Cited by 31 publications

References 68 publications

Multi-Objective Constructal Design for Quadrilateral Heat Generation Body with Vein-Shaped High Thermal Conductivity Channel

Multi-Objective Constructal Design for Quadrilateral Heat Generation Body with Vein-Shaped High Thermal Conductivity Channel

Constructal design of a PCM cylindrical heat sink with three‐branched, two‐stages dendritic tubes

Multi-Objective Constructal Design for Square Heat-Generation Body with “Arrow-Shaped” High-Thermal-Conductivity Channel

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