The impact of non-Newtonian fluid on a rotating rough sphere over irregular boundaries is analyzed in the present study. This model analyzed the effects of the Casson parameter (β), buoyancy mixed convective parameter (λ), Brownian motion parameter (Nb), Lewis number (Le), and irregular boundary parameter β1 on primary and secondary velocity profiles, temperature, concentration, and skin friction profiles in an innovative manner. The set of modeled governing equations is dimensional in nature. In order to nondimensionalize the governing equations, certain non-similar transformations are applied. After being linearized using the quasilinearization approach, the converted dimensionless equations are numerically solved using the finite difference method and iterative Varga's algorithm. The graphical representation of numerical results exhibits the increased primary skin friction coefficient and velocity profiles for increasing values of β, and a reverse trend is observed for secondary skin friction coefficient, temperature, and concentration profiles. In particular, the effect of non-Newtonian fluid diminishes the species concentration boundary layer and enhances the skin friction values. The thermal diffusivity to mass diffusivity enhances the skin friction profiles and concentration profiles. The variation of primary and secondary skin friction coefficient for varying values of various nondimensional parameters are also mentioned in this paper.
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Singh et al. (2025) studied this question.
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