A further discussion on the effective thermal conductivity of metal foam: An improved model

Hui, Yang; Zhao, Min; Gu, Zhaolin; Jin, Liwen; Chai, John C.

doi:10.1016/j.ijheatmasstransfer.2015.03.001

Cited by 24 publications

(16 citation statements)

References 15 publications

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“…3(b). In the literature, several analytical models are developed for 3D tetradecahedron unit cells [8,48,[74][75][76][77]. The original model of Boomsma and Poulikakos [8] was found to be imprecise by Dai et al [48]: in fact, beside a geometrical and an analytical error, its implementation fails to produce the published results.…”

Section: 3mentioning

confidence: 99%

“…In addition, in [48] the contribution of the ligament orientation in layer C is even considered, which allows to overcome the restricting hypothesis of parallel conduction 2 . However, as explained in [74], this model is unfeasible since it gives ligaments thicker than the nodes: this was a consequence of the assumed constant value for the parameter e. Therefore, [74] further improved the model by considering the variation of e with the porosity, Eq. (59).…”

Section: 3mentioning

confidence: 99%

“…(58), can not be applied without violating the geometric constraint. However, if the modification proposed by Yang et al [74] is considered, Eq. (59), then the constraint is satisfied.…”

Section: Analytical Modelsmentioning

confidence: 99%

“…In this case, by optimizing the values of the fitting constants against the data of for water. The model of Yang et al [74], both in its original and optimized formulation, is plotted in Fig. 12.…”

Section: Analytical Modelsmentioning

confidence: 99%

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On the effective thermal conductivity of aluminum metal foams: Review and improvement of the available empirical and analytical models

Ranut

2016

Applied Thermal Engineering

139

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Section: 3mentioning

confidence: 99%

Section: 3mentioning

confidence: 99%

“…(58), can not be applied without violating the geometric constraint. However, if the modification proposed by Yang et al [74] is considered, Eq. (59), then the constraint is satisfied.…”

Section: Analytical Modelsmentioning

confidence: 99%

Section: Analytical Modelsmentioning

confidence: 99%

See 2 more Smart Citations

On the effective thermal conductivity of aluminum metal foams: Review and improvement of the available empirical and analytical models

Ranut

2016

Applied Thermal Engineering

139

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“…Recent studies done by Yang et al observed the pore size effects when heat transfers with convection and radiation at temperatures higher than 400K [43]. In order to account for the pore size, Yang et al developed another analytic method to obtain a new function for porosity by calibrating the experimental data [44].…”

Section: The Effective Thermal Resistance Of the Graphitic Foammentioning

confidence: 99%

Heat Transfer Interface to Graphitic Foam

Lin

Anderssen

Yee

2019

Volume 8: Heat Transfer and Thermal Engineering

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Thermal interface materials (TIMs) used for bonding components are important for creating a thermally conductive path which improves heat dissipation. Low density, porous carbon foams are commonly used for thermal management applications and devices. Their high surface area to volume ratio enables cooling more effectively via different heat transfer methods. Many studies have adopted different methods to analytically or computationally analyze the effective thermal conductivity of carbon foams. Others have studied the participation of TIMs used in composite materials. However, very few studies have analyzed the microscale effects in heat transfer of the interaction between TIM and carbon foams. The amount of contact between a carbon foam and a bonded surface has hardly been reported in the literature. In this study, the carbon foam is deposited with thin layers of graphene until reaching the desired foam density; this type of foam is known as the graphitic foam. Graphene’s highly anisotropic thermal properties result in high thermal conductivity in the planar direction but low in the normal direction. With these anisotropic thermal characteristics, the objective of this study is to determine the effect of TIM thickness on thermal conductivity of the graphitic foam. It was hypothesized that the direction which heat enters the graphitic foam and the size of the cross-sectional area normal to the heat flux direction would affect the overall effective thermal conductivity. As commonly known, a gap created between ligands (foam structure) and the bonded surface would likely reduce the overall effective thermal conductivity. At the gap, heat is transferred via the TIMs or the graphitic foam through conduction, depending on if a direct contact exists between the graphitic foam and the bonded surface. The filler types used for the TIMs are hypothesized to play a critical role in the heat portion transferred via the TIMs. The heat transfer in 2-D becomes extremely complicated while anisotropic materials (graphene coating) and isotropic materials (TIMs) interact. Furthermore, the non-uniform structure of the carbon foam introduces more complexity to the heat transfer at the interface. A computational model using ANSYS finite element program was developed in this study to help the analysis. The results demonstrate that the parameters at the interface can be optimized to improve the overall effective thermal conductivity of the interface.

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A theoretical model for effective thermal conductivity of open‐cell‐coated metal foams saturated with fluid/phase change material

Saxena

Kothari

Kumar

et al. 2022

Intl J of Energy Research

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The current research presents geometrical effective thermal conductivity (ETC) models for externally coated open-cell metal foams (MFs) saturated with fluid/phase change material (PCM) by considering three-dimensional configuration adopted from the tetrakaidecahedron structure. The three-dimension (3D) models consider different geometries, such as hexagonal and square, involving different shapes of ligaments (cylindrical, concave triprism) and nodes (cubic, pyramidal) for the analysis. The ETC of MF-composite increases with the coating thickness, the thermal conductivity of coating material, and infiltrating medium. The percentage enhancement in ETC is found to be significant with the increase in coating thickness compared with the increase in thermal conductivity of coating material and infiltrating medium. In addition, the ETC value increases with the increase in the porosity value, which can be explored at the manufacturing process during the design of thermal management systems (TMS). The present model involving hexagonal geometry with concave triprism ligaments and pyramidal nodes is found to be in excellent agreement with test data for all the infiltration cases with an average deviation of less than 3%. The present study reports the mathematical expressions for ETC as a function of various modeling parameters, which can be useful during the design of the TMS.

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A further discussion on the effective thermal conductivity of metal foam: An improved model

Abstract: 8In this study, we explain the causes and effects of the geometrical impossible result 9 encountered in the widely adopted tetrakaidecahedron model (Boomsma and Poulikakos, 2001; 10 Dai et al., 2010)

Cited by 24 publications

References 15 publications

On the effective thermal conductivity of aluminum metal foams: Review and improvement of the available empirical and analytical models

On the effective thermal conductivity of aluminum metal foams: Review and improvement of the available empirical and analytical models

Heat Transfer Interface to Graphitic Foam

A theoretical model for effective thermal conductivity of open‐cell‐coated metal foams saturated with fluid/phase change material

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