Model Approach to Thermal Conductivity in Hybrid Graphene - Polymer Nanocomposites
Andriy B. Nadtochiy1, Alla M. Gorb1, Borys M. Gorelov2, Oleksiy I. Polovina1, Oleg Korotchenkov1,3, Viktor Schlosser4,*
1 Faculty of Physics, Taras Shevchenko National University of Kyiv, 01601 Kyiv, Ukraine; nadtku@univ.kiev.ua (A.B.N.); alla.gorb@knu.ua (A.M.G.); fantality@ukr.net (O.I.P.); olegkorotchenkov@knu.ua (O.K.)
2 Chuiko Institute of Surface Chemistry, NAS of Ukraine, 17 General Naumov Str., 03164 Kyiv, Ukraine; bgorel@ukr.net
3 Erwin Schrödinger International Institute for Mathematics and Physics, University of Vienna, 1090 Vienna, Austria
4 Department of Electronic Properties of Materials, Faculty of Physics, University of Vienna, 1090 Wien, Austria
* Correspondence: viktor.schlosser@univie.ac.at; Tel.: +43-1-4277-72611
ABSTRACT: The thermal conductivity of epoxy nanocomposites filled with self-assembled hybrid nanoparticles composed of multilayered graphene nanoplatelets and anatase nanoparticles was described using an analytical model based on the effective medium approximation with a reasonable amount of input data. The proposed effective thickness approach allowed for the simplification of the thermal conductivity simulations in hybrid graphene@anatase TiO2 nanosheets by including the phenomenological thermal boundary resistance. The sensitivity of the modeled thermal conductivity to the geometrical and material parameters of filling particles and the host polymer matrix, filler's mass concentration, self-assembling degree, and Kapitza thermal boundary resistances at emerging interfaces was numerically evaluated. A fair agreement of the calculated and measured roomtemperature thermal conductivity was obtained.
Keywords multilayer graphene; anatase; epoxy; polymer nanocomposites; thermal conductivity; Kapitza thermal boundary resistance