Effective thermal conduction in composite materials

Suleiman, Bashir M.

doi:10.1007/s00339-009-5503-9

Cited by 13 publications

(6 citation statements)

References 9 publications

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“…Furthermore, for a three-phase system, the effective thermal conductivity of composites should lie within the upper and lower Wiener bounds. 21 The upper and lower Wiener bounds are given by equation ( 2) and (3).…”

Section: Resultsmentioning

confidence: 99%

Probing thermal conductivity of interphase in epoxy alumina nanocomposites

Singh

Pandey

2022

Polymers and Polymer Composites

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The objective of this research is to determine the thermal conductivity of the interphase in epoxy alumina nanocomposites. First, TPS 500 measures the thermal conductivity of epoxy alumina nanocomposite samples. Following that, a numerical model based on the finite element method was developed to estimate the effective thermal conductivity of epoxy alumina nanocomposites over a range of assumed interphase thermal conductivity values. Finally, an algorithm is devised to extract the interphase’s thermal conductivity by combining simulation and experiment results. Interphase was found to have significantly higher thermal conductivity than the base polymer. A comprehensive analysis is presented to shed light on the observed increase in interphase thermal conductivity. The findings of this study will be critical for further investigation of heat transfer in epoxy alumina nanocomposites via modeling and simulation studies.

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Section: Resultsmentioning

confidence: 99%

Probing thermal conductivity of interphase in epoxy alumina nanocomposites

Singh

Pandey

2022

Polymers and Polymer Composites

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“…More details about the volume fractions, compositions and the conductivities of phases of the samples are given elsewhere [39][40].…”

Section: Resultsmentioning

confidence: 99%

Validations of a Model to Estimate Thermal Conductivities of Ceramics

Suleiman¹

2016

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The Effective Medium Theory Model (EMTM) used in this work is based on the assumption that every phase of the matrix is embedded in a homogeneous medium with conductivity k eff to be determined self-consistently. It is based on dilute spherical inclusions of one phase embedded in a matrix of a second phase. Several Samples of composite ceramics that are mechanically strong, relatively non-porous and anisotropic have been investigated. A comparison between the measured data and the results predicted by EMTM were made to validate the model for these ceramic samples. In particular, we investigate the effect of mineralogy (constituents) in ceramics and their spatial distribution profile to validate the homogeneity conditions of the model. Preliminary indicators of validation were used to check the bulk and surface homogeneities. This can be done either by roughly estimating Wiener bounds or by examining microscopically the surfaces of the samples. It turns out that the EMTM is a suitable one to estimate k eff provided that the homogeneity conditions are satisfied.

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“…e Wiener theory, in general, is used for the characterization of a system by a set of functions which are determined by analyzing the system response. It has been applied in several material engineering tasks as reported, e.g., by Suleiman [29] or Hossain et al [30]. is theory was also adopted in Lichtenecker's mixing rule [31,32] that operates over the whole range between parallel and serial models by adjusting the k parameter between −1 and 1.…”

Section: Materials Homogenization Technique Based On Effective Mediamentioning

confidence: 99%

Efficient Techniques for Solution of Complex Computational Tasks in Building Physics

Kočí

Maděra

Krejčí

et al. 2019

Advances in Civil Engineering

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Various simplification or optimization techniques are sought that reduce demands of computational modeling on time or computing power while keeping a sufficient level of accuracy. In this paper, determination of hygrothermal performance of a brick block is presented using two homogenization techniques based on different principles. While the computational homogenization technique uses a multiscale method realized on the master/slave computer system, the materials homogenization comes out from the effective media theory (EMT), and after the determination of effective material properties, the whole isotropic problem can be transformed to one dimension. Contrary to most applications of EMT, free parameters of mixing formulas are not determined based on an experimental measurement of a single material property but on a complex hygrothermal performance of the element where the distribution of moisture and temperature over a reference year is taken into account. The calculated results from both techniques are compared with results obtained by high-performance computing without any computational simplifications. For materials homogenization, the best results are achieved when k = 0.9 in Lichtenecker’s mixing rule is assumed, which corresponds to a nearly parallel arrangement of the block. The root mean square error (RMSE) of relative humidity (RH) and temperature distribution is only 0.992% and 0.566°C, respectively. This is even better than the results of computational homogenization (RMSE: 1.502% of RH and 0.629°C). Besides obtaining sufficiently precise results, a significant time-saving is achieved, accounting for more than 99%, while being solved on a single-processor computer.

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Effective thermal conduction in composite materials

Cited by 13 publications

References 9 publications

Probing thermal conductivity of interphase in epoxy alumina nanocomposites

Probing thermal conductivity of interphase in epoxy alumina nanocomposites

Validations of a Model to Estimate Thermal Conductivities of Ceramics

Efficient Techniques for Solution of Complex Computational Tasks in Building Physics

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