<p>This work offers a thermal investigation of the melting heat transmission process in a Casson–Carreau fluid flow. This analysis occurs under the influence of an angled magnetized force and heat generation on an extended surface. The partial differential equations that describe the problem are converted into a model of ordinary differential equations using the similarity conversion approach. We solve these equations using the Runge–Kutta numerical method. We look at how key factors such as magnetic field strength, Weissenberg number, melting temperature, Soret and Dufour influences, and heat source intensity affect velocity, temperature, and concentration distributions. The outcomes show that the Lorentz&#xa0;impact makes the magnetic field stronger, which helps thermal energy dissipation and resists fluid motion. The melting temperature helps absorb heat, which makes the temperature differences at the surface smaller. Soret diffusion has an effect on mass transmission as well. Comparative analysis with previously published data validates the reliability of the computational methodology. We talk about what these findings mean for heat and mass transfer in manufacturing, biological, and manufacturing processes that use non-Newtonian hybrid fluids.</p>