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Abstract The focus of this study is to better understand the boundary layer phenomena of nonlinear radiative nano non‐Newtonian (Casson) fluid flow caused by a stretched periphery with a periodic magnetic field and Arrhenius activation energy. The time‐based controlling equations are translated into a suitable dimensionless form using the explicit finite difference (EFD) approach. However, to make the solution convergent, detailed stability and convergence criteria have been devised. In addition, the oscillatory form of velocity, isothermal, and streamline profiles, as well as the conventional shape of other flow fields are displayed. Using tabular analysis, a correlation between non‐Newtonian and Newtonian fluids has even been demonstrated. When the radiative heat flux is evaluated in a linear pattern rather than a nonlinear one, the Lorentz force has been demonstrated to diminish the flow profiles convincingly. Also, another finding is that when the magnetic factor is considered in the sinusoidal form it is controlling the heat transfer factors of nanofluid substantially. As a chemical reaction requires a high‐temperature mechanism to proceed, the scientific principles of activation energy are evaluated in the inclusion of thermal radiation of nonlinear patterns, and the mass transmission is severely influenced. However, in the presence of nonlinear radiation, the Brownian motion of the Casson fluid particles, as well as the thermophoresis phenomena has effectively elevated the temperature field rather than the linear one. The current study has implications for prostate cancer treatment. Nanoparticles have been used to treat cancer, and magnetic fields have been used to regulate the drug emission of the particles.
Reza‐E‐Rabbi et al. (Mon,) studied this question.