Zhang, Han, and Junhua Zhang. "The preparation of novel polyvinyl alcohol (PVA)-based nanoparticle/carbon nanotubes (PNP/CNTs) aerogel for solvents adsorption application." Journal of colloid and interface science 569 (2020): 254-266.
As PVA is a water-soluble polymer, it is recommended to use water to disperse the CNT. You can use ultrasonication to assist the dispersion of the nanoparticles in the water (There are several papers about that in the scientific literature). So, it will be possible to mix the CNT/water dispersion in a PVA/water solution without degrading the polymer (You can find some works about this in the scientific literature, too).
If the distribution and dispersion of the CNT on PVA matrix are important to you, I recommend characterizing the obtained nanocomposite with electronic microscopy techniques like Transmission Electronic Microscopy or Scanning Electronic Microscopy (of the fracture).
Dear Eldhose Jacob thanks for posting this interesting technical question on RG. In addition to the expert answers which have already been provided please also have a look at the following potentially useful literature references which might help you in your analysis:
Carbon Nanotube Dispersion in Solvents and Polymer Solutions: Mechanisms, Assembly, and Preferences
Article Carbon Nanotube Dispersion in Solvents and Polymer Solutions...
This article has not yet been posted as public full text on RG but you can easily request the full text directly from one of the authors via RG.
Also please check:
Synthesis of polyvinyl alcohol (PVA) infiltrated MWCNTs buckypaper for strain sensing application