Issues

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2019

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vol. 17 /

Issue 4

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E. A. Lysenkov
«Simulation of Thermal Conductivity of Polymer Nanocomposites, Using Models Based on Thermal-Electrical Analogy»
761–772 (2019)

PACS numbers: 61.41.+e, 64.60.ah, 65.80.+n, 66.70.Hk, 66.70.Lm, 82.35.Lr, 82.35.Np

Some theoretical models of thermal conductivity of the polymeric nanocomposites based on thermoelectric analogy are proposed, and their accordance with experimental results are analysed for the polymer–carbon nanotubes (CNT) systems. The specificity of thermal conductivity of the polymer–CNT systems chosen for modelling is in the presence of a percolation transition, which is not taken into account by majority of thermal-conductivity models. Therefore, using the thermoelectric analogy, we used models that well describe the percolation behaviour of the electrical conductivity of polymer–CNT systems, namely the Bruggeman’s model, the Fourier model, and the scaling model, and applied these models to describe the thermal conductivity. As established, a model based on the theory of effective medium (the Bruggeman’s model) does not take into account the existence of a percolation threshold at low CNT content and cannot be used for accurate description of experimental data. As discovered, the Fourier model demonstrates a good accordance with an experiment, however, it is applicable only for the systems, in which a large increase of thermal conductivity under reaching the percolation threshold is observed; these are systems with low own conductivity. As shown, the best accordance with experimental data is demonstrated within the scaling model that, besides the percolation threshold, takes into account the structural characteristics of clusters, which are formed by carbon nanotubes.

Keywords: percolation behaviour, polymer nanocomposites, thermal conductivity, carbon nanotubes, thermal-electrical analogy

https://doi.org/10.15407/nnn.17.04.761

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