Heat transfers thermodynamic activity of a second-grade ternary nanofluid flow over a vertical plate with Atangana-Baleanu time-fractional integral

Abstract

The impact of the Atangana-Baleanu (AB) time-fractional integral on second-grade fluid with ternary nanoparticle suspension across an infinite vertical plate was studied in this paper. By generalized Fourier's law, the generalized fractional constitutive equation for the thermal flux explains a thermal process with memory. Closed-form solutions are calculated using Laplace transform and represented using Lorenzo and Hartley G–functions and integral forms. The numerical effects of physical and fractional parameters are presented.

Keywords

• Heat transfers
• Second-grade ternary nanofluid
• Atangana-Baleanu time-fractional integral
• Generalized Fourier's law
• Laplace transform