The area-point constructal optimization for discrete variable cross-section conducting path

Wei, Shuhuan; Chen, Lingen; Sun, Fengrui

doi:10.1016/j.apenergy.2008.06.010

Cited by 88 publications

(48 citation statements)

References 32 publications

(61 reference statements)

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“…Zhou et al [15] assembled a new rectangular element with continuously variable cross-section conducting path and the results showed that increasing the complexity of the assembly could not always decrease the maximum temperature difference while there existed an optimal assembly's order. For the thermal current density in the conducting path to increase discretely when the optimum number of the lower order constructs forming higher order constructs is finite, Wei et al [16] proposed a new constructal optimization model based on a discrete variable cross-section conducting path. The optimization results showed that the minimum maximum temperature difference obtained through assembling could be obtained by changing the cross-section of conducting path in the same assembly's order.…”

Section: Introductionmentioning

confidence: 99%

“…[16] pointed out that the thermal current in the conducting path of rectangular element increased continuously, and that the thermal current in the conducting path increased discretely when the optimum number of the lower order constructs which formed higher order constructs was finite. Based on ref.…”

Section: Introductionmentioning

confidence: 99%

“…Based on ref. [16], an entransy dissipation rate calculation model based on continuous and discrete variable cross-section conducting paths is proposed in this paper, and the constructal optimization based on entransy dissipation rate minimization is performed. The results show that the minimum entransy dissipation rate based on elemental area with variable cross-section conducting path increases and approaches a constant as the assembly's order increases, but the minimum entransy dissipation rate based on elemental area with constant cross-section conducting path decreases with the increase of assembly's order and approaches a constant.…”

Section: Introductionmentioning

confidence: 99%

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Constructal optimization of discrete and continuous-variable cross-section conducting path based on entransy dissipation rate minimization

Wei

Chen

Sun

2010

Sci. China Technol. Sci.

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Using constructal entransy dissipation rate minimization method based on discrete variable cross-section conducting path, constructal optimizations of elemental area with variable cross-section conducting path are performed, and the results are compared with the optimization results of elemental area with the constant cross-section conducting path. The comparison shows that the minimum mean temperature difference based on elemental area with variable cross-section conducting path increases and approaches a constant as the assembly's order increases, but the minimum mean temperature difference based on elemental area with constant cross-section conducting path decreases and approaches a constant as the assembly's order increases. The difference between them is caused by the different dimensionless mean temperature difference of the first order assembly. A universal constructal optimization method by self similar organization to improve heat transfer ability and its corresponding rule are proposed. With the constructal optimization method by self similar organization based on entransy dissipation rate minimization objective, the mean temperature difference approaches a constant as the assembly's order increases.constructal theory, entransy, entransy dissipation, area-point conduction, generalized thermodynamic optimization Citation:Wei S H, Chen L G, Sun F R. Constructal optimization of discrete and continuous-variable cross-section conducting path based on entransy dissipation rate minimization.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Constructal optimization of discrete and continuous-variable cross-section conducting path based on entransy dissipation rate minimization

Wei

Chen

Sun

2010

Sci. China Technol. Sci.

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“…Recently, the research of constructal optimization mainly focuses on various single-objective optimization problems, including time minimization [1,68], profit rate maximization [11], cost minimization [11,12], maximum temperature difference minimization [69][70][71][72][73][74], heat transfer rate maximization [75], fluid flow resistance minimization [76], heat flux maximization [77,78], path length minimization [79], exergy loss minimization [80], electrical resistance minimization [81], power maximization [82], entransy dissipation rate minimization [33,34,36,38,46,49,[51][52][53][54], etc. The research of multi-objective optimization includes the optimization of convective heat transfer by taking fluid flow resistance minimization and thermal resistance minimization into account simultaneously [83,84] and various tree-shaped heat exchangers [85][86][87], the optimization of hot water pipe network by taking pumping power minimization and heat loss minimization into account simultaneously [88], the optimization of solid-gas chemical reactor by taking high density of chemical reaction and low pumping power into account simultaneously [89,90], etc.…”

Section: Introductionmentioning

confidence: 99%

Constructal optimization of a vertical insulating wall based on a complex objective combining heat flow and strength

Xie

Chen

Sun

2010

Sci. China Technol. Sci.

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For a vertical insulating wall, a product function of heat flow and strength with power weight is introduced as the complex optimization objective to compromise between insulating performance and mechanical performance. Under the global constraints of fixed external dimensions and safety requirements, the constructal optimization of the wall is carried out by taking the complex function maximization as the objective. It is shown that the maximum of the complex-objective function and its corresponding optimal internal structure design under a certain environmental condition can be obtained by allowing the internal structure of the wall to vary (evolve) freely. The validity, effectivity and applicability of the complex function are proved by the results and the power weight parameter in the range from 0.4 to 4 can compromise between the requirements of insulating and strength simultaneously and preferably. The constructal optimization with coequal attention to heat flow and strength and the corresponding results are discussed in detail. The optimal structure design and the corresponding performance analyses under various environmental conditions of application are presented. When the change of environment is greater and the total Rayleigh number is bigger, the insulating wall with large number of cavities should be employed. When the total Rayleigh number is small, the better performance can be obtained by reasonably employing the insulating wall with small number of cavities. The complex function has better self-adaptability, and the results in the recent literature are special cases of this paper. constructal theory, insulating wall, multidiscipline, generalized thermodynamic optimization Citation:Xie Z H, Chen L G, Sun F R. Constructal optimization of a vertical insulating wall based on a complex objective combining heat flow and strength.

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“…There exists an optimal constructal order that leads to the minimum thermal resistance. For the case in which the thermal current in the high-conductivity link increases discretely in a first-or higher-order assembly, Wei et al [23] established a constructal optimization model with discrete variable cross-section high-conductivity links. The results showed that the minimum maximum thermal resistance of the assembly which was obtained by assembling the lastorder assemblies could be obtained by changing the cross-section of high-conductivity link at the same assembly's order.…”

mentioning

confidence: 99%

Constructal entransy dissipation rate minimization for heat conduction based on a tapered element

2011

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Based on constructal theory, the structure of a tapered element and high-conductivity link is optimized by taking the minimization of the entransy dissipation rate as the optimization objective. The results show that the mean temperature difference of the heat transfer cannot always decrease when the internal complexity of the control-volume increases. There exists an optimal constructal order leading to the minimum mean temperature difference for heat transfer. The thermal current density in high-conductivity links with variable shapes does not linearly depend on the length. Therefore, the optimized constructs based on the minimization of the entransy dissipation rate are different from those based on the minimization of the maximum temperature difference. Compared with the construct based on the minimization of the maximum temperature difference, the construct based on the minimization of the entransy dissipation rate can reduce the mean temperature difference, and improve the heat transfer performance significantly. Because entransy describes the heat transfer ability more suitably, various constructal problems in heat conduction may be addressed more effectively using this basis.constructal theory, entransy dissipation rate, volume-to-point heat conduction, generalized thermodynamic optimization Citation:Xiao Q H, Chen L G, Sun F R. Constructal entransy dissipation rate minimization for heat conduction based on a tapered element. Chinese Sci Bull, 2011Bull, , 56: 2400Bull, −2410Bull, , doi: 10.1007 Many of the volume-to-point flows that occur in nature are shaped like tree networks. These flows include river basins and formative processes of cay. A volume-to-point heat conduction problem in engineering is the determination of the optimal distribution of a high-conductivity material through a finite volume, which results in the heat generated at every point being transferred most effectively to the boundary of the medium. Constructal theory was put forward by Bejan [1] and was applied to the optimization of the volume-to-point heat conduction problem. To obtain better heat transfer structure, many scholars [2-15] have made researched conduction elements with different shapes and have used various optimization objectives based on constructal theory. Minimization of the maximum temperature difference is one of the most common optimization objectives. Bejan [1] used the minimization of the maximum temperature difference as the optimization objective and assumed that the amount of high-conductivity material needed was finite. First, the rectangular element was optimized and the corresponding optimal elemental shape (aspect ratio) was obtained. Then, the first-order assembly that was designed with a number of optimized elemental volumes was optimized. There exists an optimal shape for the first-order assembly (or the number of the rectangular elements) that corresponds to the minimization of the maximum temperature difference of the first-order assembly. The analogy continues until the control volume is rec...

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The area-point constructal optimization for discrete variable cross-section conducting path

Cited by 88 publications

References 32 publications

Constructal optimization of discrete and continuous-variable cross-section conducting path based on entransy dissipation rate minimization

Constructal optimization of discrete and continuous-variable cross-section conducting path based on entransy dissipation rate minimization

Constructal optimization of a vertical insulating wall based on a complex objective combining heat flow and strength

Constructal entransy dissipation rate minimization for heat conduction based on a tapered element

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