A simple and efficient method for the evaluation of effective thermal conductivity of open-cell foam-like structures

Mendes, Miguel A.A.; Ray, Subhashis; Trimis, D.

doi:10.1016/j.ijheatmasstransfer.2013.07.032

Cited by 85 publications

(64 citation statements)

References 22 publications

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“…Unfortunately, their relations demonstrated to be not applicable in the case of metal foams and, for this reason, are not reported in Table 2. Mendes and coworkers [34,38,42] proposed four simplified models obtained by a linear combination of two generic minimum and maximum bounds per time (Serial, Parallel, Effective medium theory, lower and upper Hashin-Shtrikman bounds), as reported in Eq. (25).…”

Section: Empirical Correlationsmentioning

confidence: 99%

“…At the moment, a significant effort is devoted to describing the foam structure in a more realistic way: from this perspective, X-ray computed microtomography (μ-CT) appears a promising and appealing approach to be coupled to numerical simulations. The literature includes several works dealing with μ-CT, not only limited to metal foams or thermal conductivity estimations [1,3,[13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]. The literature offers a wide set of analytical and empirical correlations for the estimation of the effective thermal conductivity of metal foams.…”

Section: Introductionmentioning

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

132

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Section: Empirical Correlationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Ranut

2016

Applied Thermal Engineering

132

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“…Finite volume method 48 has been widely used in numerical heat transfer studies (e.g., Ref. 49). In addition, finite volume method is independent from the thermal conductivity of matrix to fluid ratio, which provides accurate results when the thermal conductivity of fluid is low (for example, gas).…”

Section: Calculation Of the Effective Thermal Conductivitymentioning

confidence: 99%

Thermal conductivity of granular porous media: A pore scale modeling approach

2015

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Pore scale modeling method has been widely used in the petrophysical studies to estimate macroscopic properties (e.g. porosity, permeability, and electrical resistivity) of porous media with respect to their micro structures. Although there is a sumptuous literature about the application of the method to study flow in porous media, there are fewer studies regarding its application to thermal conduction characterization, and the estimation of effective thermal conductivity, which is a salient parameter in many engineering surveys (e.g. geothermal resources and heavy oil recovery). By considering thermal contact resistance, we demonstrate the robustness of the method for predicting the effective thermal conductivity. According to our results obtained from Utah oil sand samples simulations, the simulation of thermal contact resistance is pivotal to grant reliable estimates of effective thermal conductivity. Our estimated effective thermal conductivities exhibit a better compatibility with the experimental data in companion with some famous experimental and analytical equations for the calculation of the effective thermal conductivity. In addition, we reconstruct a porous medium for an Alberta oil sand sample. By increasing roughness, we observe the effect of thermal contact resistance in the decrease of the effective thermal conductivity. However, the roughness effect becomes more noticeable when there is a higher thermal conductivity of solid to fluid ratio. Moreover, by considering the thermal resistance in porous media with different grains sizes, we find that the effective thermal conductivity augments with increased grain size. Our observation is in a reasonable accordance with experimental results. This demonstrates the usefulness of our modeling approach for further computational studies of heat transfer in porous media.

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“…Based on the Fourier law of heat conduction, the ETC can be 80 written as 81 2 f is another known function. Here, once the value of e is given, the ETC can be 93 calculated purely by porosity.…”

Section: Effective Thermal Conductivity 67mentioning

confidence: 99%

“…Studies on modeling the ETC of metal 25 foams have been carried out numerically [1][2][3], experimentally [4-6] and analytically [5][6][7][8][9][10][11][12]. 26…”

Section: Introduction 22mentioning

confidence: 99%

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

Hui

Zhao

et al. 2015

International Journal of Heat and Mass Transfer

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A simple and efficient method for the evaluation of effective thermal conductivity of open-cell foam-like structures

Cited by 85 publications

References 22 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

Thermal conductivity of granular porous media: A pore scale modeling approach

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

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