Optimization of entropy generation in Carreau–Yasuda hybrid nanofluid flow: the combined influence of non-Fourier heat flux, couple stress, and Soret–Dufour

In this study, we examined the steady movement of Carreau-Yasuda hybrid nanofluid across an irregularly extended sheet influenced by the magnetic field, non-Fourier heat flux, couple stress effects, and the synergistic impacts of Soret and Dufour phenomena. The governing partial differential equations are transformed into a system of nonlinear ordinary differential equations using appropriate similarity variables and then solved using the bvp4c solver. It is detected that the Nusselt number drops by 13.30% when the Dufour number falls between 0 to 1 and the rate of mass transmission drops by 9.69% when the Soret number falls between 0 to 1.