This research investigates the mixed convective transport characteristics of a shear-thinning along a vertically oriented wavy surface under the combined effects of an induced magnetic field, thermal radiation, chemical reaction, and Soret–Dufour effects, which are relevant to advanced thermal and chemical transport systems. The key novelty of the present work arises from the simultaneous integration of cross-diffusion effects and induced magnetic field in a Williamson fluid flowing over a wavy geometry, a combination that has not been explored in previous studies. Using similarity transformations, the governing nonlinear are addressed using numerical methods via a modified Lobatto collocation method. The findings indicate that increasing magnetic interaction and buoyancy parameters enhance fluid velocity and surface shear stress, while the induced magnetic field strengthens with the reciprocal magnetic Prandtl number. Temperature and concentration distributions increase due to Joule heating, Dufour, Soret, and chemical reaction effects. Furthermore, the local Nusselt number improves with magnetic interaction, whereas the Sherwood number decreases under strong magnetic coupling. These findings provide new physical insight into electromagnetic control of thermo-solutal transport in non-Newtonian fluids over wavy surfaces.
Ahmad et al. (Sun,) studied this question.