Natural convection flows of carbon nanotube Prabhakar‐like fractional second‐grade nanofluids over an infinite plate with Newtonian heating

Abstract

In this article, the free convection flow of second‐grade nanofluids based on carbon nanotubes (CNTs) with Prabhakar‐like fractional and Newtonian heating over a vertical plate has been studied. The fractional model of governing equations is defined by the time‐dependent fractional Prabhakar derivative. Using the Laplace transform method, analytical solutions are determined for the dimensionless thermal and velocity profiles. Prabhakar‐like fractional second‐grade fluids with generalized thermal transport velocity and heat transfer are compared with ordinary second‐grade fluids with ordinary thermal transport and ordinary viscous fluids with classical Fourier thermal flux. The effects of fractional and physical parameters are expressed graphically.