Abstract
Nanometer scale heat conduction in a polymer/carbon nanotube (CNT) composite under fast thermal perturbations is described by linear integrodifferential equations with dynamic heat capacity. The heat transfer problem for local fast thermal perturbations around CNT is considered. An analytical solution for the nonequilibrium thermal response of the polymer matrix around CNT under local pulse heating is obtained. The dynamics of the temperature distribution around CNT depends significantly on the CNT parameters and the thermal contact conductance of the polymer/CNT interface. The effect of dynamic heat capacity on the local overheating of the polymer matrix around CNT is considered. This local overheating can be enhanced by very fast (about 1 ns) components of the dynamic heat capacity of the polymer matrix. The results can be used to analyze the heat transfer process at the early stages of “shish-kebab” crystal structure formation in CNT/polymer composites.
Highlights
Recent progress in the synthesis of nanomaterials requires a deep theoretical and experimental study of the thermal transport on the nanometer scale
Relaxation processes associated with the dynamic heat capacity cdyn (t) of polymer-based systems are considerable at fast thermal perturbations [15,16,17,18,19]
We focus on the analytical solution of the problem with dynamic heat capacity cdyn (t) at nonequilibrium thermal response of the polymer matrix
Summary
Recent progress in the synthesis of nanomaterials requires a deep theoretical and experimental study of the thermal transport on the nanometer scale. Polymer-based nanocomposites have an interesting specificity for fast thermal perturbations [13,14]. Relaxation processes associated with the dynamic heat capacity cdyn (t) of polymer-based systems are considerable at fast thermal perturbations [15,16,17,18,19]. We focus on the analytical solution of the problem with dynamic heat capacity cdyn (t) at nonequilibrium thermal response of the polymer matrix. The local temperature in the polymer matrix with dynamic heat capacity can be much more overheated than in the equilibrium case at early stages of the fast heating process [13,14]. The thermal response of the polymer matrix around individual CNT under pulse heating in cylindrical geometry is considered. Specific heat capacity at constant pressure cp is discussed below, but the index p is omitted further
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