Energy transport analysis of the magnetized forced flow of power-law nanofluid over a horizontal wall

•Forced convection on a flat heated surface subjected to external flow was studied.•The magnetic field of strength "B0" is enforced in the transverse direction.•The local non-similarity (LNS) via bvp4c is employed for numerical simulations of non-similar PDEs.•Thermal transport enhances the rate of nonlinearity, magnetic force in the transverse direction, and Biot number.•Convective mass transfer enhances due to increment in the magnetic field, Biot number, and thermophoresis. The forthright aspiration of this communication is to scrutinize the attributes of forced convection from flat heated surfaces subjected to external flow, portrayed by the freely developing boundary layers enveloped by a region that comprises no velocity and temperature gradients. The flow is triggered by the stretching of a plate at a non-linear rate in the horizontal direction. The magnetic field of strength "B0" is enforced in the transverse direction. Boundary layer analysis is considered to develop the mathematical model of convection equations. The partial differential system that includes x-momentum, energy balance, and mass convection is used to describe the simulations of flow initiation and convective heat and mass shifting in the boundary layers. Assuming heat flows from a plate to the enveloping region at a similar rate and zero mass flux at the boundary. The governing convection differential system is reformed to a set of dimensionless partial differential equations (PDEs) by introducing non-similar transformations. The local non-similarity (LNS) via bvp4c is employed for numerical simulations of non-similar PDEs. Characteristics of important numbers in the non-similar model are sketched and discussed in detail. It is found that thermal transport enhances the rate of nonlinearity, magnetic force in the transverse direction, and Biot number. Convective mass transfer enhances due to increment in the magnetic field, Biot number, and thermophoresis. Furthermore, the augmentation in magnetic parameters reduces the velocity field and enhances the profiles of nanoparticle volume fraction andtemperature of nanofluid. The concenteration profile is enhanced with the elevations of the Brownian motion parameter and Biot number, whereas it is reduced by the positive variation of the thermophoresis parameter. This research is of great help for research studies in several sectors of nanotechnology and industrial nanofluids applications, particularly in solar water heaters, heat exchang