Abstract This study explores computational modeling to investigate the magnetohydrodynamic behavior of a Newtonian fluid surrounding a deforming cylindrical body. The study focuses on a specific kind of flow that is steady and doesn't change in two dimensions. The calculations are done using a computer program called “bvp4c” in MATLAB. We aim to study the effects of curvature, magnetic field, Prandtl number, Hall parameter, and Eckert number on boundary layer flow characteristics, which is useful for controlling and optimizing flow in MHD systems. Velocity and temperature profiles are plotted to show how the fluid reacts to different conditions. Velocity and temperature profiles are illustrated graphically to visualize the fluid's response to varying conditions. The results show that both the curvature parameter () and Hall current () increase fluid velocity, which is important for controlling flow in MHD systems, while a higher Prandtl number () reduces the fluid temperature. A higher Eckert number (), meanwhile, intensifies the temperature profile. Furthermore, the model's results are compared with existing literature to highlight parameter effects, demonstrating its practical value for engineering design. These insights can directly optimize boundary layer behavior in cooling systems, heat exchangers, and electromagnetic flow control, improving performance and efficiency.
Anurag et al. (2026) studied this question.