Thermal analysis of free convection flows of viscous carbon nanotubes nanofluids with generalized thermal transport: a Prabhakar fractional model

The free convection flow of nano fluid model is considered between two parallel plates apart a distance d and the CNTs (carbon nanotubes) are considered nanoparticles. For the generalized Fourier’s law of Prabhakar-like fractional derivative is considered. This implies that the phenomena are studied by considering the generalized fractional thermal flux. Solutions for temperature distribution and velocity field are calculated by the using of integral transforms. The impacts of fractional as well as physical parameters in developmental model of temperature and velocity field are graphically underlined.