MHD Powell–Eyring nanofluid motion with convective surface condition and Dufour–Soret impact past a vertical plate: Lie group analysis

The formerly neglected impact of the convective surface condition and the Soret–Dufour effect on a Powell–Eyring fluid over a vertical plate is brought to light in the present study. As such, this study focuses on a Powell–Eyring hydromagnetic nanofluid through a vertical plate with the convective surface condition and the Dufour–Soret effect. The governing flow equations containing all the thermo-physical properties are modelled mathematically through the momentum, energy and species conservation equations. We convert the governing partial differential equation into ordinary differential equations using the Lie symmetry group of scaling. The technique is theorized on the self-transformation mappings and symmetric properties of differential equations. The spectral-based quasi-linearization method was introduced to account for all the resulting flow parameters. The Biot number has a significant influence on the flow profile. Graphical analyses of some parameters are shown for the skin friction, the Nusselt and Sherwood numbers. The results herein give some insight into the use of the Powell–Eyring nanofluid for industrial applications.