Current trends in constructal law and evolutionary design

Lorente, Sylvie; Bejan, Adrian

doi:10.1002/htj.21556

Cited by 43 publications

(25 citation statements)

References 71 publications

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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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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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“…Constructal theory [ 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 ] was put forward by Professor Bejan in 1996. The corresponding constructal law [ 27 , 28 ] is “For a finite-size flow system to persist in time (to live), its configuration must change in time such that it provides easier and easier access to its currents.” The structural designs for living and non-living systems can be performed by applying constructal theory, including the structural designs of HEs.…”

Section: Introductionmentioning

confidence: 99%

Performance Optimization of a Condenser in Ocean Thermal Energy Conversion (OTEC) System Based on Constructal Theory and a Multi-Objective Genetic Algorithm

Feng

Chen

et al. 2020

Entropy

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Constructal optimization of a plate condenser with fixed heat transfer rate and effective volume in ocean thermal energy conversion (OTEC) system is performed based on constructal theory. Optimizations of entropy generation rate ( S ˙ g ) in heat transfer process and total pumping power ( P sum ) due to friction loss are two conflicting objectives for a plate condenser. With the conventional optimization method, the plate condenser is designed by taking a composite function (CF) considering both S ˙ g and P sum as optimization objectives, and employing effective length, width, and effective number of heat transfer plates as design variables. Effects of structural parameters of the plate condenser and weighting coefficient of CF on design results are investigated. With a multi-objective genetic algorithm, the plate condenser is designed by simultaneously optimizing S ˙ g and P sum , and the Pareto optimal set is obtained. The results demonstrate that CFs after primary and twice-constructal optimizations are respectively reduced by 7.8% and 9.9% compared with the initial CF, and the effective volume of the plate condenser has a positive impact on the twice minimum CF. Furthermore, the Pareto optimal set can provide better selections for performance optimizations of plate condensers.

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“…Constructal design is a method of find the missing configuration of flow systems based on the evolution of this configuration toward the way, which provides easier access of the currents that flow through it 1–3 . In heat exchanger with cross flow, the fins that are attached to the tubes increase the heat flow from the heated finned tubes to the cold cross flow.…”

Section: Introductionmentioning

confidence: 99%

Constructal design of longitudinally finned tubes cooled by forced convection

2020

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The constructal design method is used in the present study to find the configuration of longitudinally finned tubes cooled by forced convection. The finned tubes are arranged in parallel inside a fixed two-dimensional domain. Two degrees of freedom inside the domain are considered for the design. The first degree of freedom is the tube-to-tube spacing, and the second is the length of the longitudinal fin.For both these degrees of freedom, a three-fin position inside the domain is considered. The fin is placed in the front, back, and front and back of the tube in the first, second, and third positions, respectively. Maximization of the heat flow density (heat transfer/ volume) from the finned tubes to the cold cross flow is the objective function of the present study. For the three fin positions, the constant pressure difference between the upstream and the downstream drives the cross flow. The dimensionless continuity, momentum, and energy equations for two dimensional, steady, and incompressible flows are solved by discretizing it according to the finite volume method. The thermal condition of the fins and the tubes is constant surface temperature. The dimensionless pressure drop known as Bejan number is varied in the range of 10 3 ≤ Be ≤ 10 5 . The fin length is changed from L f = 0 (unfinned tube) to L f = 0.2, 0.4, and 0.4. The tubes are cooled by air (Prandtl number = 0.71).The results illustrated that for the considered Bejan numbers and fin positions, the spacing between the unfinned and the finned tubes can be adjusted to optimal spacing such that the heat flow from the tubes to the coolant is maximum. K E Y W O R D SBejan number, constructal design, forced convection, longitudinally finned tubes

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Current trends in constructal law and evolutionary design

Cited by 43 publications

References 71 publications

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

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

Performance Optimization of a Condenser in Ocean Thermal Energy Conversion (OTEC) System Based on Constructal Theory and a Multi-Objective Genetic Algorithm

Constructal design of longitudinally finned tubes cooled by forced convection

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