Modelling the Influence of Nano-Additives and Generic Chemical Reaction on Thermo-migration in High Speed Magnetohydrodynamic Stream Drift

Abstract

The investigation models a steady free convective flow generated by a vertically stretched and shielded sheet moving through a thermo-migration induced by high-speed stream drift. A boundary layer approximation establishes a well-posed mathematical model encompassing momentum, energy, and mass equations. The leading partial differential models (PDMs) were meticulously transformed into nonlinear coupled ordinary differential models (ODMs) using a balanced non-similar transformation approach to facilitate a successful numerical solution. The numerical solution involves the application of proficient schemes, named the fourth-order Runge-Kutta-Fehlberg approach and shooting technique, implemented with MAPLE V.10. The velocity, temperature, and concentration profiles are presented, and they highlight the influence of various pertinent fluidic parameters. The impact of chaotic motion induced by finely divided conducting nano-additives in the fluid is also investigated. It was found that surface conditions influence velocity reduction. The findings demonstrate that an increase in thermo-migration begets elevated velocity and energy but a diminishing trend in diffusivity. Furthermore, the strengthening of the magnetic field induces a velocity reduction, just as the magnetohydrodynamic effects alter fluid dynamics in reaction systems. Additionally, the Hartmann number disrupts thermal boundary layer development, leading to a reduction in the local heat transport and skin-friction coefficient. Thus, the practical applications of the results of this study will be beneficial to several manufacturing, processing, transportation, and automobile industries.