Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume -, Issue -, Pages -Publisher
WILEY
DOI: 10.1002/mma.6795
Keywords
carbon nanotubes; natural convection flows; Newtonian heating; Prabhakar-like fractional derivative; second-grade nanofluids
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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.
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