Constructal tree-shaped paths for conduction and convection

Bejan, Adrian

doi:10.1002/er.875

Cited by 30 publications

(10 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As typical fractal geometry, the tree‐shaped geometry is common in nature, such as the river network, leaves veins, and vascular network. Inspired by the outstanding merits of natural evolution, tree‐shaped geometry has been applied to optimize the heat and mass transport in practical engineering applications . In general, it has been documented that the tree‐shaped geometry possesses unique merits in material transport and energy transfer, especially for these in point‐to‐area fashion.…”

Section: Introductionmentioning

confidence: 99%

“…Inspired by the outstanding merits of natural evolution, tree-shaped geometry has been applied to optimize the heat and mass transport in practical engineering applications. [23][24][25] In general, it has been documented that the tree-shaped geometry possesses unique merits in material transport and energy transfer, especially for these in point-to-area fashion. Therefore, the introduction of tree-shaped geometry plays a significant role in the thermal performance improvement of LHS units.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Role of tree‐shaped fins in charging performance of a latent heat storage unit

Huang

Zhang

et al. 2020

Int J Energy Res

View full text Add to dashboard Cite

Summary The performance enhancement of latent heat storage (LHS) units is of great consequence for the development of sustainable energy. In this article, the transient models of phase‐change heat transfer processes in LHS units with consideration of natural convection are developed and numerically analyzed, in an effort to explore the role of the fractal tree‐shaped fin in the energy charging performance. The solid‐liquid interface evolution and dynamic temperature response in the tree‐shaped finned LHS unit are presented and compared with the wheel‐shaped one. Moreover, the influence of the fin number is investigated for maximizing the energy charging performance. The results indicate that the tree‐shaped fin has merits of effective layout optimization for the point‐to‐area heat transfer and the time‐coordination of energy charging and discharging process. Compared with the wheel‐shaped fin, the melting duration time is decreased only a little for the presence of tree‐shaped fin, however, the solidification process is decreased significantly. The presence of tree‐shaped fin leads to a lower energy charging rate during the early and middle stages of the charging process due to the natural convection suppression, however, the energy charging rate is faster during the later stage due to the thermal conduction dominated interior heat transfer. For maximizing the melting performance, the appropriate fin number in practical applications is 16.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Role of tree‐shaped fins in charging performance of a latent heat storage unit

Huang

Zhang

et al. 2020

Int J Energy Res

View full text Add to dashboard Cite

show abstract

“…Almogbel and Bejan [26] showed that embedding highconductivity materials in heat generating domains increases the overall thermal conductance of the domains. In addition, literature also shows how thermal conductance of a domain can be maximized with distinct high-conductivity inserts: treeshaped (T-and Y-shaped) and 2-and 3-dimensional with and without non-uniform heating [1,[26][27][28][29][30][31][32]. In the literature, treeshaped high-conductivity materials are embedded in heat generating domains, and their stem are assumed to be a heat sink at prescribed temperature.…”

Section: Introductionmentioning

confidence: 99%

Constructal structures with and without high-conductivity inserts for self-cooling

Çetkin¹

2016

IJHT

View full text Add to dashboard Cite

Here we show how a heat generating domain can be gained self-cooling capability with embedded cooling channels and with and without high-conductivity fins. The volume of the heat generating domain is fixed, so is the overall volume of the cooling channels and high-conductivity inserts. Even though the coolant volume decreases with embedded high-conductivity fins, the peak temperature also decreases with high-conductivity inserts. The peak temperature is affected by the location, shape and complexity of the fins and the volume fraction. This paper documents how these degrees of freedoms should be changed in order to minimize peak temperature. This paper also discusses how the volume fraction affects each fin shape in order to minimize the peak temperature. This paper uncovers that the fins should be distributed non-equidistantly, and that high-conductivity material should be inserted as fins (bulks of high-conductivity materials) rather than uniform distribution in the domain. This paper concludes that the overall thermal conductance of a heat generating domain can be maximized by freely morphing the shape of the high-conductivity material. The optimal design exists for given conditions and assumptions, and this design should be morphed when conditions and assumptions change. This conclusion is in accord with the constructal law. Each optimal design for given conditions and assumptions is the constructal design.

show abstract

“…[4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] An important contemporary application of the tree-shaped design is in the energy storage systems. [19][20][21][22] The fundamentals of heat transfer in phase change material (PCM) have attracted considerable attention because of the potential use of phase change processes in energy storage applications. [23][24][25][26][27][28][29][30][31][32][33][34][35] In Ref.…”

Section: Introductionmentioning

confidence: 99%

Morphing tree structures for latent thermal energy storage

Ziaei

Lorente

Bejan

2015

Journal of Applied Physics

View full text Add to dashboard Cite

Here, we report the numerical study of time dependent storage of energy by melting a phase change material. The heating is provided along invading lines, which change from single-line invasion to tree-shaped invasion. The numerical simulations show that the history of the amount of melted material is S-shaped. We also found that the fastest melting (i.e., the steepest S curve) is discovered by allowing the tree architecture to morph freely, toward greater access over time. The stem length and branching angle of invading trees can be selected such that the complete melting process is shorter. The melting process can also be made faster by increasing the complexity of the tree structure. V C 2015 AIP Publishing LLC. [http://dx

show abstract

Constructal tree-shaped paths for conduction and convection

Cited by 30 publications

References 25 publications

Role of tree‐shaped fins in charging performance of a latent heat storage unit

Role of tree‐shaped fins in charging performance of a latent heat storage unit

Constructal structures with and without high-conductivity inserts for self-cooling

Morphing tree structures for latent thermal energy storage

Contact Info

Product

Resources

About