Heat transfer due to electromagnetic radiation of MHD Powell-Eyring fluid with mass diffusion via Lie symmetry scaling

The objective of this research is to explore the mass and heat transmission characteristics of magnetohydrodynamic Powell-Eyring fluid through an absorptive flat surface, as the effects of mass diffusion and radiation. The validation process involves assessing the accuracy and reliability of the outcomes obtained from solving the ordinary differential equations derived from the governing partial differential equations using Lie symmetry scaling. Source parameters are integral to the validation process, ensuring the robustness and credibility of the obtained results. The percentage increase or decrease in these parameters is systematically analysed to understand their impact on the mass and heat transmission characteristics of the magnetohydrodynamic Powell-Eyring fluid. The validation also involves a comparison of the calculated quantities, such as heat transfer rate, skin friction factor, and mass transmission rate, against established theoretical expectations. This scrutiny ensures that the numerical solution, implemented through the Runge-Kutta Fehlberg method in MATLAB, aligns with the expected physical behaviour of the system under investigation. Furthermore, the presentation of results employs graphical representations and tabular formats (Graphs and Tables), facilitating a clear and concise visualization of the impact of varying physical constraints on flow characteristics.