A RELATION BETWEEN THERMAL CONDUCTIVITY AND SPECIFIC HEAT CAPACITY OF CNT

We have tried to develop a new kind of thought for the specific heat capacity of carbon nanotube is calculated through heat flux and basic concepts of heat conduction. Heat flux varies directly with temperature gradient and deduces to constant i.e. thermal conductivity “K”. It is valid for small variation in temperature. In a wide temperature range K is a function of T (tempr). In anisotropic materials K varies with crystal orientation and can be represented by a Tensor [1-2]. In solid materials heat is carried by an acoustic phonons i.e. ion core vibrations in crystal lattice and electrons so that the thermal conductivity is the sum of conductivities due to phonon and electrons. The specific heat capacity is concentrated on phonons in carbon nanotube beholding the graphene structures. A theoretical relation is successfully derived between thermal conductivity and specific heat capacity which matches the graphical variation as experimental data. Here our aim is to produce a scope for discussion to distinguish the characteristic material in carbon nanotube for the researchers to identify a new efficient material.