Fractional simulations for slip flow of Casson CMC-CNTs hybrid nanofluid with Mittag-Leffler kernel and Prabhakar fractional simulations

Abstract

This work aims to investigate the mixed convection heat transfer in hybrid nanofluids across a vertical pours plate under the influence of Newtonian heating. It is also taken into account walls slipping slide and the applied magnetic field is angled. By using an effective mathematical fractional scheme known as the Prabhakar time-fractional derivative, the non-dimensional leading equations are converted into the fractional model. Water and carboxymethyl cellulose (CMC) are the foundation fluids for carbon nanotubes (CNTs), which are considered as base nanoparticles. The Laplace scheme is used to solve the momentum and energy equations, and several numerical techniques are taken into consideration for the Laplace inverse. The effects of various restrictions are visualized and quantitatively examined for both leading equations. It is concluded the consideration of CMC-based hybrid nanofluid has present peak thermal impact as compared to other hybrid nanofluid models. The increasing applications of nanoparticles volume fraction shows increasing trends for thermal phenomenon for both SWCNTs and MWCNTs.

KEYWORDS:

• Casson hybrid nanofluid
• heat transfer
• prabhakar-derivative
• slip effects
• newtonian heating
• mittag-leffler kernel

Disclosure statement

No potential conflict of interest was reported by the author(s).