Constructal multidisciplinary optimization of electromagnet based on entransy dissipation minimization

Wei, Shuhuan; Chen, Lingen; Sun, Fengrui

doi:10.1007/s11431-009-0153-x

Cited by 41 publications

(21 citation statements)

References 25 publications

(30 reference statements)

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“…(i) Constructal entransy dissipation rate minimization with fixed magnetic field [159]. Based on the concept of entransy dissipation, the expression of the mean temperature difference with high thermal conductivity material inserted in the solenoid (electromagnet) was deduced.…”

Section: Multi-disciplinary and Multi-objective Optimization Of Electmentioning

confidence: 99%

Progress in entransy theory and its applications

Chen

2012

Chin. Sci. Bull.

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114

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The entransy and entransy dissipation extremum principle proposed have opened up a new direction for the heat transfer optimization. The emergence and development of entransy theory are reviewed. Entransy theory and its applications are summarized from several aspects, such as heat conduction, heat convective, heat radiation, heat exchanger design and mass transfer, etc. The emphases are focused on four aspects, i.e., the comparison between entropy generation rate and entransy dissipation rate, the combination of entransy dissipation extreme principle with finite time thermodynamics, the combination of entransy dissipation extreme principle with the heat conduction constructal theory, and the combination of entransy dissipation extreme principle with the heat convective constructal theory. The scientific features of entransy theory are emphasized. Influenced by oil crisis in the 1970's directly, the heat transfer enhancement was world-widely paid attention by the scientific community, and was quickly developed into one of very important branches in thermal science and technology fields. With the progress of social development ideas, such as sustainable development, low-carbon technology and low-carbon economy, the concept of heat transfer enhancement has developed into a broader scope concept of heat transfer optimization [1]. In the past 30 years, the basic theory of heat transfer optimization has been made considerable progresses, and finite-time thermodynamics, field synergy principle, constructal theory as well as entransy theory are the representative achievements. The emergences of these theories promoted the developments of thermodynamics and heat transfer. Finite-time thermodynamics, which combined thermodynamics, heat transfer and fluid mechanics, provided a theoretical fundament for performance optimizations of practical processes and devices with the constraints of a finite size and finite time. Field synergy principle unified the essential physical understandings of convective heat transfer and heat transfer enhancement phenomena, and provided a theoretical fundament for the development of heat transfer enhancement technology to achieve better energy saving effects. Constructal theory, which was called the thermodynamics of non-equilibrium system with configuration in the field of thermal science, provided a theoretical fundament for the unified descriptions of the generation of flow structures in natural organization and the designs of various flow structures. Fourier's law of heat conduction, Newton's law of cooling and Stephen-Boltzmann law of blackbody radiation only gave the concept of heat transfer rate, while the concepts of entransy and entransy dissipation lay the foundation of defining the concept of heat transfer efficiency which did not appear in the heat transfer theory before. Entransy theory provided a new theoretical fundament for heat transfer optimization, which is different from that of the entropy generation minimization.

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Section: Multi-disciplinary and Multi-objective Optimization Of Electmentioning

confidence: 99%

Progress in entransy theory and its applications

Chen

2012

Chin. Sci. Bull.

Self Cite

114

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“…Xie et al [56,57] optimized the heat transfer model of a rectangular solid wall with an open T-shaped cavity and with an open rectangular cavity with some constraints based on entransy dissipation rate minimization. A multidisciplinary optimization of electromagnet combing magnetic field and heat transfer was proposed by Wei et al [58] based on entransy dissipation rate minimization. The results of refs.…”

Section: Introductionmentioning

confidence: 99%

“…The results of refs. [55][56][57][58] showed that combing the extremum principle of entransy dissipation and heat transfer constructal theory could improve the heat transfer ability, but the results based on entransy dissipation rate minimization also showed that the assembling method proposed by Bejan could not decrease the entransy dissipation rate steadily as the assembling order increased.…”

Section: Introductionmentioning

confidence: 99%

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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“…Next, they used the entransy dissipation rate minimization as optimization objective and obtained the optimal construct using the constraint that new-order assembly must be assembled by the optimized last-order assembly [40]. Finally, Wei et al [41] derived the mean temperature difference for an electromagnet and made a multidisciplinary constructal optimization for electromagnets, which combined the magnetic density problem with the heat transfer problem. Based on the entransy dissipation rate minimization, Xie et al [42,43] optimized the heat generating bodies with rectangular cavity and T-shaped cavity.…”

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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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Constructal multidisciplinary optimization of electromagnet based on entransy dissipation minimization

Cited by 41 publications

References 25 publications

Progress in entransy theory and its applications

Progress in entransy theory and its applications

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

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

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