A computational study is conducted to examine the thermal and concentration transfer characteristics, In addition to skin friction effects, in a parabolic flow an infinitely vertical plate with a varying temperature profile. The study employs numerical techniques to compute the governing partial differential equations, considering key physical parameters that influence flow, are examined in detail. The analysis highlights the impact of buoyancy forces, thermal gradients, and concentration differences on velocity, temperature, and mass diffusion fields. Furthermore, variations in skin friction and energy transfer rates are studied. The study provides valuable insights into convective boundary-layer behavior, with applications in industrial and engineering systems.
