A multivariate response surface methodology approach to explore the consequence of the diffusion-thermo and thermal-diffusion in off-centered stagnation flow toward a rotating disk

This work examines the influence of activation energy, magnetic field (MF), and quadratic thermal radiation (Q-TR) on the stagnation-point flow generated by an off-centered rotating disk (O-CRD) subjected to Soret and Dufour effects (S-DE). Furthermore, the governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) using suitable similarity variables. Additionally, the numerical solutions are obtained for reduced ODEs using the Runge–Kutta–Fehlberg fourth-fifth order (RKF-45) technique. Furthermore, the response surface methodology (RSM) is utilized to assess the heat transportation rate of the fluid flow. The impact of non-dimensional parameters on the liquid profiles is shown graphically. The results indicate that the MF parameter decreases fluid velocity, whereas an increase in the rotational parameter increases the flow near the disk. An increase in the Soret number enhances the concentration profile. The temperature profile enhances as the radiation parameter intensifies. These results provide a better understanding of complicated transport processes, which help to develop and improve engineering systems that utilize high-temperature rotating machinery, chemical processing, and sophisticated thermal management.