Thermomagnetic control of rotating Casson dusty nanofluid flow in porous inclined channels

Efficient thermal management in modern engineering systems often relies on manipulating flow behavior under magnetic, rotational, and porous boundary conditions. This study investigates the transient magnetohydrodynamic (MHD) behavior of a non-Newtonian Casson nanofluid embedded with uniformly dispersed dust particles in an inclined rotating porous channel. Wall suction and injection are introduced as active boundary control mechanisms to regulate flow and heat transfer. The governing equations for momentum and energy of both the fluid and particulate phases are formulated, non-dimensionalized, and analytically solved using the Poincaré–Lighthill perturbation method. The results reveal that the Casson parameter suppresses velocity in both the fluid and dust phases, reflecting shear-thinning behavior, while higher thermal Grashof numbers enhance buoyancy-driven convection. Increasing magnetic field strength or rotation rate reduces the axial velocity due to the Lorentz and Coriolis forces, respectively. Suction decreases the momentum boundary layer thickness, whereas injection enhances it. Nanoparticle loading elevates the temperature distribution but lowers the velocity because of increased viscosity. Thermal radiation significantly alters heat transfer rates, enhancing the Nusselt number at the wall. Key engineering indicators such as the skin-friction coefficient and Nusselt number are computed to quantify the system’s hydrodynamic and thermal performance. The findings suggest that coupled magnetic, rotational, and suction/injection mechanisms provide a controllable means for optimizing convective heat transport in rotating porous configurations relevant to cooling technologies, microfluidic devices, and thermal regulation systems.