Mathematical modelling of periodic MHD Casson fluid flow for sinusoidal boundary conditions in terms of chemical responses and thermal radiation

This study presents a detailed investigation of the two-dimensional magnetohydrodynamic (MHD) flow of a Casson hybrid nanofluid with chemical reactions through a perpendicular porous channel under sinusoidal boundary conditions. The introduction of periodic MHD effects and oscillatory wall motion represents the key novelty of this work. The governing nonlinear partial differential equations are transformed into non-dimensional form and solved using a hybrid analytical–numerical approach, with stability and convergence analyses confirming the reliability of the solution. Flow and heat transfer characteristics are analyzed through streamline and isotherm visualizations. The results reveal that the Grashof number and heat source parameter enhance skin friction, while higher Prandtl number, magnetic parameter, porosity, and chemical reaction rate suppress it. Notably, a 25% reduction in velocity is observed as the magnetic parameter increases from 1 to 5, with similar trends evident for other parameters. The findings exhibit strong agreement with existing studies and highlight the model’s practical relevance to biomedical fluid transport, thermal management in electronic systems, and various industrial and manufacturing applications.