Investigation of magnetized convection for second-grade nanofluids <i>via</i> Prabhakar differentiation

Abstract The application of nanoparticles in the base fluids strongly influences presentation cooling as well heating techniques. improve thermal conductivity by fluctuating heat characteristics fluid. expertise increasing transference has captivated several investigators to more evaluate working This study disputes investigation convection flow for magnetohydrodynamics second-grade nanofluid with an infinite upright heated flat plate. fractional model is obtained through Fourier law exploiting Prabhakar approach along graphene oxide ( GO stretchy="false">) ({\rm{GO}}) and molybdenum disulfide mathvariant="normal">Mo mathvariant="normal">S 2 ({\rm{Mo}}{{\rm{S}}}_{2}) engine oil considered equations are solved analytically via Laplace approach. temperature momentum profiles show dual behavior parameters α , β γ (\alpha ,\beta ,\gamma ) at different times. velocity increases mathvariant="normal">Grashof number {\rm{Grashof\; number}} declines greater values magnetic parameter Prandtl number. In comparison numerical methods, curves overlapped, signifying that our attained results authentic. governed shows percentages 0.2 0.2 ≤ 4.36 4.36 0.48 ≤ 7.53 0.48\le 7.53 better than those Basit et al. development profile, due oil–GO progressive, oil–MoS 2 .