An investigation on non-Darcian Williamson nanofluid flow stimulated by activation energy resulting from a slick elastic sheet encased in a porous medium

In this work, we explored the mass transfer characteristics of a non-Newtonian Williamson nanofluid flow resulting from a stretched sheet in response to various environmental factors such as chemical reactions, activation energy, non-Darcy porous medium, slip velocity, and viscous dissipation. The primary circumstance under study is one in which a Williamson nanofluid's viscosity and thermal conductivity differ with temperature. An algorithmic solution to the anticipated problem is presented using the BVP4C method. Consequently, several plots have been generated to illustrate how different physical attributes that emerge in the issues impact concentration, temperature, and velocity profiles. It was found that the slip velocity assumption, magnetic field, activation energy, and the viscous dissipation phenomenon influenced the heat and mass transfer processes. Some key outcomes are: the slip velocity parameter and viscosity parameter reduce the velocity field; the slip velocity parameter and porosity parameter increase the temperature field; activation energy improves the concentration field; and chemical reaction decreases the concentration. There is a strong qualitative agreement between theoretical and numerical results.