Design approach for additive manufacturing employing Constructal Theory for point-to-circle flows

Kamps, Tobias; Biedermann, Manuel; Seidel, Christian; Reinhart, Gunther

doi:10.1016/j.addma.2017.12.005

Cited by 11 publications

(12 citation statements)

References 17 publications

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“…Bejan created the famous constructal theory 1‐5 and first applied the research on volume‐point heat‐conducting problems to cool electronic devices 6 . So far, many further research works 7‐41 on this problem have been carried out on the basis of Bejan's work.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, the volume‐point heat‐conducting research has also been extended to other fields, such as micro‐ and nanoscales, 29‐31 thermal radiation, 32 additive manufacture, 33 heat exchanger optimization, 34‐36 and new algorithms 37‐41 …”

Section: Introductionmentioning

confidence: 99%

“…Following the success of constructal theory, some scientists considered the natural branching systems, such as leaf veins, as concept generators for the heat‐conducting design 42,43 . However, the volume‐point constructs of References [8‐41] mainly include rectangular, triangular, and parabolic‐shaped constructs, and few of them are similar to the constructs of common plant leaves, such as the leaf of Rohdea japonica (evergreen) shown in Figure 1. Do these existing shapes perform higher thermal conductivity than shapes of leaf veins?…”

Section: Introductionmentioning

confidence: 99%

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Optimal design of conductive natural branched pathways for cooling a heat‐generating volume

Feng

2020

Heat Trans

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The application of constructal networks to cool a heat‐generating volume has been the subject of many research studies in the past decade. However, the current volume‐point constructs mainly include rectangular, triangular, and parabolic‐shaped constructs, and none of them are similar to the constructs of common plant leaves in nature. A bionic quadrilateral volume based on the shape of common leaf veins is proposed, and the heat‐conductive model of the quadrilateral volume is established. The analysis results show that the minimal peak temperature difference can be as low as 1.3k when the porosity α1 of the quadrilateral volume is equal to 0.15; the recommended value of interval number n of central link is 30, the optimal value of exponent m1 of the width of central link is about 0.9; and the optimal value of the aspect ratio H1/L1 remains nearly constant at 0.7. When the quadrilateral volume obtains highest heat conductivity, the branching cooling links should be perpendicular to the central link.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Optimal design of conductive natural branched pathways for cooling a heat‐generating volume

Feng

2020

Heat Trans

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“…Fluid-structure interactions (FSI) problems are ubiquitous in science and engineering applications. Examples include, but are not limited to, complex fluids [1][2][3][4][5][6], additive manufacturing [7][8][9], and energy harvesting [10][11][12][13]. Two traits shared by these problems are: i) moving fluid-solid interfaces of complex geometries; and ii) hydrodynamic interactions between many bodies.…”

Section: Introductionmentioning

confidence: 99%

A spatially adaptive high-order meshless method for fluid–structure interactions

Trask²,

et al. 2019

Computer Methods in Applied Mechanics and Engineering

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We present a scheme implementing an a posteriori refinement strategy in the context of a high-order meshless method for problems involving point singularities and fluid-solid interfaces. The generalized moving least squares (GMLS) discretization used in this work has been previously demonstrated to provide high-order compatible discretization of the Stokes and Darcy problems, offering a high-fidelity simulation tool for problems with moving boundaries. The meshless nature of the discretization is particularly attractive for adaptive h-refinement, especially when resolving the near-field aspects of variables and point singularities governing lubrication effects in fluid-structure interactions. We demonstrate that the resulting spatially adaptive GMLS method is able to achieve optimal convergence in the presence of singularities for both the div-grad and Stokes problems. Further, we present a series of simulations for flows of colloid suspensions, in which the refinement strategy efficiently achieved highly accurate solutions, particularly for colloids with complex geometries.

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“…Constructal theory has been initially used in transportation sciences (focused on street network theory [4]) and thermal sciences (more precisely in the cooling of a heat generating area [5]). Since then, many other fields have been interested in constructal theory leading to applications from engineering to nature [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21].…”

Section: Introductionmentioning

confidence: 99%

On the entropy production of the elemental construct of the constructal designed plate generating heat

Ribeiro

Queiros-Condé

2019

International Journal of Thermal Sciences

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In this paper, the elemental construct of an I-shaped fin cooling a heat generating volume is studied through the entropy production perspective. Using the constructal design method framework with entropy production minimization as an objective leads to different optimal shape ratio, different from the ones obtained using the excess of temperature. Moreover, the optimal shape ratio evolution is not necessary the same for local entropy production minimization (excess of entropy production) and global entropy production (entropy produced in the whole area). Finally, an analysis on a possible dimensionless number is introduced for the study of constructal plates.

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Design approach for additive manufacturing employing Constructal Theory for point-to-circle flows

Cited by 11 publications

References 17 publications

Optimal design of conductive natural branched pathways for cooling a heat‐generating volume

Optimal design of conductive natural branched pathways for cooling a heat‐generating volume

A spatially adaptive high-order meshless method for fluid–structure interactions

On the entropy production of the elemental construct of the constructal designed plate generating heat

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