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

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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.

Original languageEnglish
Pages (from-to)10045-10053
Number of pages9
JournalAlexandria Engineering Journal
Volume61
Issue number12
DOIs
StatePublished - Dec 2022

Keywords

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

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