Thermal transport of mixed convective flow of carbon nanotubes with Fourier heat flux model: Prabhakar-time derivatives assessment

The thermal prospective of hybrid nanofluid is more impressive and presents many dynamical applications in solar collectors, thermal systems, machining, extrusion processes, nuclear cooling, heating and cooling devices, desalination. Owing to such motivations in mind, this research communicates thermal impact of carbon nanotubes due to inclined plate under the effect of a magnetic field. Both single-walled carbon nanotubes (SWCNTs) and multiple-walled carbon nanotubes (MWCNTs) are considered as nanoparticles to enhance the thermal mechanism of human blood and water base liquids. The mixed convection phenomenon for natural convective flow is considered. The most recent definition of fractional scheme namely Prabhakar derivatives is used to perform the theoretical outcomes. The integral of problem is supported with Laplace transform. The impact of dimensionless parameters on velocity and temperature profiles is studied and graphs are plotted by the mathematical software. The obtained results are compared numerically and graphically by using different inverse techniques known as Stehfest method and Tzou's methods. It is observed that nanoparticles' volume fraction boosted the thermal phenomenon more effectively for SWCNTs. The improved velocity profile due to interaction of buoyancy forces is observed.