Abstract
Through the use of a fractional method, the thermal flow of mono and double-walled carbon nanotubes driven by a vertical porous plate with applications of Newtonian heating is analyzed. The interesting features of applied magnetic force, porous space and slip boundary conditions are also encountered. The behavior of base fluid is inspected by using the human blood. The simulation approach makes use of a novel kind of fractional model called the Prabhakar time-fractional derivative. The Prabhakar time-fractional model is first support with the basic definitions. The results are compared with already simulated investigations with excellent accuracy. The comparative thermal analysis via multi and mono-walled carbon nanotubes against the flow parameters is presented. The numerical values of the flow parameters are worked out. It is noticed that heat transfer phe-nomenon is relatively progressive for the single walled carbon nanotubes. The velocity profile becomes slower for the fractional parameters. The control of velocity due to magnetic parameter is more progressive for multi -walled carbon nanotubes.