The thermal conductivities of three types of single-wall carbon nanotubes are studied using the homogeneous non-equilibrium Green-Kubo method based on the Brenner potential. The thermal conductivity of a carbon nanotube is found to have dependence on its chirality. The thermal conductivities of three types of nanotube seem to have similar temperature dependence. The thermal conductivity of the chiral nanotube is lower than that of the other two types of nanotube.

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