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 language | English |
|---|---|
| Pages (from-to) | 10045-10053 |
| Number of pages | 9 |
| Journal | Alexandria Engineering Journal |
| Volume | 61 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 2022 |
Keywords
- Atangana-Baleanu time-fractional integral
- Generalized Fourier's law
- Heat transfers
- Laplace transform
- Second-grade ternary nanofluid
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