What is the scope of nano particles in improving thermoplastic polymer thermal properties like thermal conductivity, thermal stability, coefficient thermal expansion, heat transfer rate, thermal diffusivity.
One can not really say what will be the scope for use of nanoparticles in thermoplastics but you can find the literature where silica nanoparticles have been used to improve thermal and mechanical properties of the plastics.
if you refer to "nano"particles in the real sense, then the limitatio is that (depending on molecular weight) you can at best achieve roughly 100 nm diameter as minimal size. ("nano" is defined to be below 100 nm)
Therefore it does not really make sense to use much smaller than 100 nm small particles as anyway you will not properly disperse them, it will result in agglomerates which are not useful.
The best is to use particles in the size between 100 nm and 1 µm, according to my experience.
It would mainly depend upon the polymer and NP materials chemical characteristics. The effect of size range of any given NP + Polymer composition cannot be generalized nor is there a theory which talks about it. The question which you have asked has been a backbone of multiple PhD thesis worldwide and its further understanding is in progress.
If you google a specific NPs and Polymer i am sure would find your desired answer