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A very interesting article; there were so many trying to improve thermal conductivity by adding carbon nano tubes to polymers. Indeed, in numerous publications a slight improvement is observed, but not a big change as mostly wanted.
The approach here is different, and it leads to a fantastical high thermal conductivity, almost that of copper.
Main differences: First, additionally carbon fibres made out of pitch are used, second highly crystalline CNTs are used, third there is a preferred orientation of Carbon fibres.
What I doubt is however, that the content of Carbon fibres is at a constant ratio of 1% as said on page two of this publication. I doubt it, because when looking at the SEM pictures (Fig. 2) I would estimate the volume percentage to be 20-30%, not only 1%. This would also explain the high thermal conductivity of the Carbon fibre/phenolic resin with no incorporated CNTs (Value from Fig. about 250 W/K/m.
So long
Beta radiation