The mixed convection and electrically conducting flow of two-dimensional Williamson fluid across a nonlinear stretched curvy sheet in the presence of suction/injection, variable thermal conductivity, heat sink/source, and activation energy with convective boundary conditions are discussed in this article. A system of nonlinear PDEs is converted to a system of nonlinear ODEs using similarity transformations. Instead of focusing on the local effect of the Williamson fluid parameter $\lambda ,$ this study looks at the global impact. Using graphs, we examine how suction/injection, variable thermal conductivity, heat sink/source, and activation energy affect the resulting velocity, temperature, pressure, and concentration profiles. Physical quantities of interest to engineers are tabulated as well, including the skin friction coefficient, Nusselt number, and Sherwood number. Both thermal and mass buoyancy force parameters directly correlate with thermal and concentration profiles. This study plays an imperative role in biological and chemical engineering.

This research work describes and investigates Williamson nanofluid flow over an exponentially stretching permeable vertical plate with temperature-dependent thermal conductivity and viscosity. The governing non-linear partial differential equations (PDEs) are metamorphosed into coupled non-linear ordinary differential equations (ODEs) by using similarity transformation. The succeeding equations were numerically solved using MATLAB function bvp4c for various values of parameters. For velocity, temperature, concentration, the skin friction coefficient, and the local Nusselt number, data are presented in the form of graphs and tables. It is noted that for increasing values of magnetic parameter $M$, Williamson parameter $\lambda ,$ and viscosity parameter $\alpha$, the boundary layer thickness of the velocity profile decreases, while it increases for the temperature profile. The findings of the present work are validated through the published results.

It is just a typo error in equation (3) in the above-mentioned paper. On the right-hand side of equation (3) the term ρr+R is actually r+Rρ. In our simulations, we used the right term r+Rρ, so all ...