Nonlinear boundary-value analysis and parametric sensitivity of magnetized casson nanofluid flow over a wedge with zero mass flux

Flow over moving wedges involving ferromagnetic Casson nanofluids is relevant to advanced thermal transport and fluid-processing systems where magnetic manipulation can be used to regulate momentum and heat transfer. Motivated by these applications, this study investigates the influence of magnetic dipoles on the unsteady Falkner–Skan flow of a two-dimensional ferromagnetic Casson nanofluid over a moving wedge, incorporating the combined effects of viscous dissipation, variable thermal conductivity, chemical reaction, porous medium effects, and a zero-mass flux condition. The Buongiorno model is employed to formulate the nanofluid flow, incorporating two primary slip mechanisms-Brownian diffusion and thermophoresis-between nanoparticles and the base fluid. The governing time-dependent nonlinear partial differential equations are transformed into a set of ordinary differential equations (ODEs) through a similarity transformation. The bvp4c solver is used for the numerical solutions of these equations. A detailed analysis is carried out to explore the effects of various controlling parameters on the velocity, concentration, and temperature distribution. The findings reveal that an increase in the ferro-hydrodynamic interaction parameter reduces the viscous drag forces acting on the wedge surface, thereby improving the overall heat transfer performance. Furthermore, the combined effects of variable thermal conductivity, magnetic dipoles, viscous dissipation, and nanoparticle transport significantly modify the thermal and concentration boundary layers. Further, an increase in thermal radiation parameter from 0.3 to 1.0 reduces the skin friction by about 0.4%, increase in heat transfer rate by nearly 35%, and reduces the magnitude of mass transfer by 18.5%. These findings demonstrate that magnetic dipole control provides an effective mechanism for regulating momentum and heat transfer characteristics in Casson nanofluids, making the proposed model valuable for the design and optimization of advanced thermal management systems and ferrofluid-based engineering applications. Overall, the study provides new insights into the magneto-thermal behavior of Casson nanofluids over moving wedges, offering useful guidelines for improving the performance of engineering systems that rely on controlled heat transfer and ferrofluid manipulation.