Influence of activation energy and Stefan blowing on magneto cross Williamson fluid over an exponential stretching sheet

In this study, a 2-D Williamson fluid-flows through a Darcy-Forchhiemer permeable medium, influenced by mixed convection, MHD, and non-linear thermal radiation over an exponential stretching sheet. The impacts of Stefan blowing, Brownian motion, and thermophoresis are being studied. This investigation looks into the impacts of joule heating and activation energy. The governing PDE that are used for fluid-flow modelling are transformed into a collection of non-linear ODE by use of the required similarity transformations. The Keller box numerical technique is applied to solve the corresponding non-linear ODE. The influence of numerous characteristics is investigated using graphical representations of velocity, temperature, and concentration. To validate the problem, numerical values of the Nusselt number are calculated and compared to available literature. Additionally, the skin friction coefficient are determined and tabulated numerically.