Constructal design of tree shaped cavities inserted into a cylindrical body with heat generation

Estrada, Emanuel; Barreto, E.X.; Isoldi, Liércio André; Santos, Elizaldo Domingues dos; Lorente, Sylvie; Rocha, Luíz Alberto Oliveira

doi:10.1016/j.ijthermalsci.2020.106342

Cited by 9 publications

(4 citation statements)

References 49 publications

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“…Combining Equations (19) and (20) with the geometric structure characteristics of LVCs, the EGN of nth order LVCs can be obtained as follows:…”

Section: Effects Of the Dimensionless Mass Flow Rate On The Dimension...mentioning

confidence: 99%

“…The constructal theory can be used to seek the optimal designs of devices and systems, and thus it has also been named as a new philosophy of geometry. Since it was proposed, constructal theory has been widely used in various fields [ 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 ]. As one of the main fields, it has opened up new research on the optimizations of heat and mass transfer, such as heat source [ 23 , 24 , 25 , 26 ], heat conduction [ 27 , 28 , 29 , 30 ], convection heat transfer [ 31 , 32 , 33 ] and heat exchange equipment [ 34 , 35 , 36 , 37 , 38 ].…”

Section: Introductionmentioning

confidence: 99%

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Constructal Optimizations of Line-to-Line Vascular Channels with Turbulent Convection Heat Transfer

Lin

Xie

Nan

et al. 2022

Entropy

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The multi-scale line-to-line vascular channels (LVCs) widely exist in nature because of their excellent transmission characteristics. In this paper, models of LVCs with turbulent convection heat transfer are established. Based on constructal theory and the entropy generation minimization principle, the constructal optimizations of LVCs with any order are conducted by taking the angles at bifurcations as the optimization variables. The heat flux on the channel wall per unit length is fixed and uniform. The areas occupied by vasculature and the total volumes of channels are fixed. The analytical expressions of the optimal angles, dimensionless total entropy generation rate and entropy generation number (EGN) of LVCs with any order versus dimensionless mass flow rate are obtained, respectively. The results indicate that the dimensionless total entropy generation rate of LVCs with any order can be significantly decreased by optimizing the angles of LVCs, which is significantly more when the order of LVCs is higher. As the dimensionless mass flow rate increases, the optimal angles of LVCs with any order remain unchanged first, then the optimal angles at the entrance (root) increase, and the other optimal angles decrease continuously and finally tend to the respective stable values. The optimal angles of LVCs continue to increase from the entrance to the outlet (crown), i.e., the LVCs with a certain order gradually spread out from the root to the crown. The dimensionless total entropy generation rate and EGN of LVCs first decrease and then increase with the growth of the dimensionless mass flow rate. There is optimal dimensionless mass flow rate, making the dimensionless total entropy generation rate and the EGN reach their respective minimums. The results obtained herein can provide some new theoretical guidelines of thermal design and management for the practical applications of LVCs.

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“…Combining Equations (19) and (20) with the geometric structure characteristics of LVCs, the EGN of nth order LVCs can be obtained as follows:…”

Section: Effects Of the Dimensionless Mass Flow Rate On The Dimension...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Constructal Optimizations of Line-to-Line Vascular Channels with Turbulent Convection Heat Transfer

Lin

Xie

Nan

et al. 2022

Entropy

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“…It is necessary for optimization to associate an optimization method (Exhaustive Search in the present work). A flowchart with a systematic explanation about the application of Constructal Design was presented in the recent work of Estrada et al [41]. The steps used in that work are adapted for the present problem, and for the sake of brevity, the flowchart is not repeated here.…”

Section: Constructal Design For Geometric Evaluation Of the Arraymentioning

confidence: 99%

Geometrical investigation of bluff bodies array subjected to forced convective flows for different aspect ratios of frontal body

Teixeira

Biserni

Conde

et al. 2021

International Journal of Thermal Sciences

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“…Cavity problems (or inverted fins) is one of these approaches on which only the heat sink is considered. Many works concentrate in optimize the fin geometry by solving a conduction problem with internal heat generation ( [1,2]), while others include the convection in the solution [3]. Some studies concentrate in optimize the component geometry subjected to a flow condition [4].…”

Section: Introductionmentioning

confidence: 99%

Natural and mixed convection cooling evaluation of a hybrid photovoltaic inverter

Heckler,

Annunziato,

Desan

et al. 2024

Preprint

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Temperature control of embedded systems have become a key factor for the design of more thermal efficient electronic devices. They are becoming smaller and more powerful, what results in a large heat dissipation which must be removed from the system. Heat sinks and forced convection are the usual alternatives used to keep components temperature bellow critical values. In this work, a commercial hybrid photovoltaic inverter is numerically simulated and its thermal behavior is investigated for natural, forced and mixed flow conditions. Experimental results, for a forced convection case, were also reported and used do verify the numerical results. The 3D model accounts for all equipment with high heat dissipation and most of the less important (for thermal analysis) electronic devices, as well as, the fluid regions. A finite volume solution is obtained using the OpenFOAM software, more specifically the chtMultiRegionFoam solver. Flow modeling uses the Boussinesq approximation to account for the natural convection effects, while the k-e formulation was used to close the turbulence model. Results have shown that with current computational capacity, such complex systems (in terms of geometry) can be modeled with just a few simplifications. The inverter could work using only natural convection to cool down the system, however the operating temperatures would be close to the limiting values. In terms of forced convection, it is highlighted the importance of the correct design for the cooling system, avoiding oversizing the overall systems.

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Constructal design of tree shaped cavities inserted into a cylindrical body with heat generation

Cited by 9 publications

References 49 publications

Constructal Optimizations of Line-to-Line Vascular Channels with Turbulent Convection Heat Transfer

Constructal Optimizations of Line-to-Line Vascular Channels with Turbulent Convection Heat Transfer

Geometrical investigation of bluff bodies array subjected to forced convective flows for different aspect ratios of frontal body

Natural and mixed convection cooling evaluation of a hybrid photovoltaic inverter

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