Dependence of Thermal-Conductivity Equivalent Coefficients of Single-Walled Carbon Nanotubes on its Chirality

In recent years composite materials, consisting of matrix and reinforcing elements, have been widely used as constructional materials of different technical equipment operating in conditions of simultaneous intensive thermal and mechanical impact. Modification of composites by structure-sensitive inclusions, such as single-walled carbon nanotubes, significantly improves the thermomechanical properties of the resultant material. The research helped to discover the dependences of the thermal conductivity equivalent coefficients of a single-walled carbon nanotube on its chirality. For this purpose we applied a mathematical model of heat energy transfer by thermal conductivity in the transversely isotropic medium. Meanwhile, we presented and justified the restrictions concerning the chirality index values which this model can be applied with. These restrictions resulted from the requirements of reliability of approximation of single-walled carbon nanotubes cross-section. Various configurations of single-walled carbon nanotubes — armchair, zigzag and chiral were reviewed. For each of the configurations we obtained the dependences of the thermal conductivity equivalent coefficients on the combination of chirality indices and the diameter. These coefficients make it possible to provide the replacement for a single-walled carbon nanotube by anisotropic continuous fiber. For further evaluation of thermophysical properties of composites, reinforced with such objects there appears an opportunity to use the models developed for fiber composites. The results obtained can be used to estimate thermophysical characteristics of the composites reinforced by carbon nanotubes

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