This research aims to consider Williamson nanofluid’s boundary layer flow in two dimensions using magnetohydrodynamics (MHD), thermal radiation, heat generation and Soret and Dufour effects via a nonlinear stretching sheet. Unlike the local influence of the non-Newtonian Williamson fluid variable reported in earlier studies for both linear and non-linear stretching situations, the focus of this work is on the global effect. The laws of mass, momentum, and energy conservation serve as the foundation for the problem mathematical formulation. The obtained partial differential equations are transformed into ODEs using an appropriate similarity transformation. The following equations are quantitatively solved using the Optimal Homotopy Analysis Method (OHAM). Physical characteristics such as Sherwood and Nusselt numbers, as well as the skin friction coefficient, are calculated locally. The impacts of various physical attributes are depicted using tables and graphs. The skin friction coefficient is impacted in opposite ways by the Williamson and magnetic parameters. The temperature increases in proportion to heat generation and Dufour number. As the Lewis number and heat radiation rise, the temperature field falls.
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