Numerical approach of unsteady free convective Casson–Williamson nanofluid flow over the radiative vertical cone surface with cross-diffusion

The unsteady Casson and Williamson nanofluid flow via a radiative cone in a magnetic surface with cross-diffusion and chemical processes is investigated numerically. The Casson and Williamson nanofluid models characterize the behavior of non-Newtonian fluids. We transform the nonlinear dimensional PDEs into dimensionally free PDEs by implementing dimensionless parameters. The governed partial differential equations are addressed by adopting the Crank–Nicolson implicit approach. A parametric analysis is used to determine the outcomes of skin friction, Nusselt and Sherwood numbers. Increased Brownian motion and the Soret effect promote the transfer of heat and mass. The thermal and mass transfer characteristic of the Casson nanofluid is higher than the Williamson nanofluid. Regarding momentum dispersion, the Williamson nanofluid clearly dominates the Casson nanofluid. Conical mixers are used in polymer blending and plastics manufacturing. The relevance of this mixing step in achieving specified product attributes shows how mass and heat transfer concepts can boost productivity and output in engineering industries.