Constructal design of T-shaped cavity for several convective fluxes imposed at the cavity surfaces

Lorenzini, Giulio; Biserni, Cesare; Link, Fernanda B.; Isoldi, Liércio André; Santos, Elizaldo Domingues dos; Rocha, Luíz Alberto Oliveira

doi:10.1134/s1810232813040048

Cited by 28 publications

(15 citation statements)

References 22 publications

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“…and T-shaped cavities [25,26] and other applications as forced convective flows over cylinders [40] and turbulent mixed convective ñows inside cavities [41,42]. The optimal results found in Figs.…”

Section: Optimal Geometrymentioning

confidence: 92%

“…This same hypothesis has been employed in literature for the thermal evaluation of open cavities, see Refs. [25][26][27]29]. In this sense, the magnitude of the parameter (a) was varied from the minimal value with physical meaning (a = 0.1) until a condition where the thermal field is similar to that found in isothermal cavities (a = 10.0).…”

Section: Optimal Geometrymentioning

confidence: 99%

“…This assumption has been widely used in the literature (see Refs. [25][26][27][28][29][30][31]), as well as, the effect of parameter a was investigated in Refs. [25][26][27]30].…”

Section: Mathematical Modelmentioning

confidence: 99%

“…[25][26][27][28][29][30][31]), as well as, the effect of parameter a was investigated in Refs. [25][26][27]30]. In spite of the physical simplicity of this assumption, the consideration of fluid flow inside the cavity by means of computational fluid dynamics (CFD) simulation will increase the computational effort, making impracticable the evaluation of the several degrees of freedom performed in the present study with the exhaustive search.…”

Section: Mathematical Modelmentioning

confidence: 99%

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Constructal Design of Convective Y-Shaped Cavities by Means of Genetic Algorithm

Lorenzini

Biserni

Estrada

et al. 2014

Journal of Heat Transfer

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In the present work constructal design is employed to optimize the geometiy of a convective, Y-shaped cavity that intrudes into a solid conducting wall. The main purpose is to investigate the influence of the dimensionless heat transfer parameter a over the optimal geometries of the cavity, i.e., the ones that minimize the maximum excess of temperature (or reduce the thermal resistance of the solid domain). The search for the best geometry has been performed with the help of a genetic algorithm (GA). For square solids (WL = 1.0) the results obtained with an exhaustive search (which is based on solution of all possible geometries) were adopted to validate the GA method, while for H/L ^ LOGA is used to find the best geometry for all degrees of freedom investigated here: H/L, t//to, L//Lo, and a. (four times optimized). The results demonstrate that there is no universal optimal shape that minimizes the thermal field for all values of a investigated. Moreover, the temperature distribution along the solid domain becomes more homogeneous with an increase of a, until a limit where the configuration of "optimal distribution of imperfections" is achieved and the shape tends to remain fixed. Finally, it has been highlighted that the GA method proved to be very effective in the search for the best shapes with the number of required simulations much lower (8 times for the most difficult situation) than that necessary for exhaustive search.

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Section: Optimal Geometrymentioning

confidence: 92%

Section: Optimal Geometrymentioning

confidence: 99%

“…This assumption has been widely used in the literature (see Refs. [25][26][27][28][29][30][31]), as well as, the effect of parameter a was investigated in Refs. [25][26][27]30].…”

Section: Mathematical Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

See 2 more Smart Citations

Constructal Design of Convective Y-Shaped Cavities by Means of Genetic Algorithm

Lorenzini

Biserni

Estrada

et al. 2014

Journal of Heat Transfer

Self Cite

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“…Observing the evolutionary designs which improve flow access in nature, they have turned to be dendritic. Bearing in mind that this is not result of chance, the so-called Constructal Design has been used to discover the best geometrical shapes for different applications in heat transfer (Biserni, Rocha, Stanescu, & Lorenzini, 2007;Lorenzini et al, 2013), fluid mechanics (Reis, 2006;Cetkin, Lorente, & Bejan, 2010) and convection heat transfer (Rocha, Lorente, & Bejan, 2009;Kim, Lorente, & Bejan, 2010), just to mention a few.…”

Section: Introductionmentioning

confidence: 99%

<b>Fitting new constructal models for the thermal potential of earth-air heat exchangers

et al. 2018

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Relying on the Constructal Design method, this paper introduces new periodic models for the thermal potential of Earth-Air Heat Exchangers (Eahe). As a case study, it analyses the best spacing for three ducts arranged triangularly in order to maximize the heat transfer between soil and air. More specifically, the ratio between the horizontal and vertical spaces among the ducts is set free to vary up to limiting global constraints. This paper aims to better understand how the variations in affect the thermal performance of Eahe. As an additional contribution, some relationships between and the thermal potential of Eahe are mathematically and continuously stated. This allows establishing additional results for the efficiency and energetic performance of Eahe, as well as recommend arrangements in the shape of isosceles triangles with base and height unitary.Determinando novos modelos constructais para o potencial térmico de trocadores de calor solo-ar RESUMO. Baseando-se no método Constructal Design, este artigo introduz novos modelos periódicos para o potencial térmico de trocadores de calor solo-ar (TCSA). Como estudo de caso, analisa-se o melhor espaçamento para três dutos visando maximizar a transferência de calor entre o solo e o ar. Mais especificamente, a razão entre os espaçamentos horizontais e verticais dos dutos é deixada livre para variar até atingir restrições globais limitantes. O objetivo deste trabalho é melhorar a compreensão de como as variações de afetam o desempenho térmico de TCSA. A contribuição nova é o estabelecimento de modelos matemáticos contínuos para as relações entre e o potencial térmico de TCSA. Isto permite obter resultados e conclusões adicionais quanto à eficiência e ao desempenho energético de TCSA, bem como recomendar a adoção de dutos arranjados na forma de triângulos isósceles com base e altura unitárias. Palavras-chave: teoria constructal, TCSA, performance energética, simulação numérica.

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Constructal view of the long lots system

Périn¹

2020

Heat Trans

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The long lots system, also known as the ribbons farming system, is a historical land use pattern, which can be encountered in some specific regions of the world, including in North America, both in the Nouvelle-France, and in the New-Mexico regions. In this paper, we show that, in the late 1990s, the first publications on Constructal Theory, which discussed topics such as urban street patterns or airport systems design, already contained the principles underlying the emergence of the man-made long lots system, but had not yet been linked to land use patterns such as the ribbons farming system. We show that this farming pattern is driven by the Constructal Law. It leads to land use geometries similar, at a human scale, to computer cooling systems. In brief, like many natural designs, the long lots system emerges as a "urge to organize" under local and global constraints specific to the economy of agricultural products trade, and according to the Constructal Law of evolving flow systems. The design of long lots systems can thus be viewed as a historical precursor of the Constructal Design approach, an approach worth considering in the design of sustainable cities.

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Constructal design of T-shaped cavity for several convective fluxes imposed at the cavity surfaces

Cited by 28 publications

References 22 publications

Constructal Design of Convective Y-Shaped Cavities by Means of Genetic Algorithm

Constructal Design of Convective Y-Shaped Cavities by Means of Genetic Algorithm

<b>Fitting new constructal models for the thermal potential of earth-air heat exchangers

Constructal view of the long lots system

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