In this study, the thermal and flow characteristics of a parallel jet issued onto a moving wall are studied with the help of Reynolds-averaged Navier-Stokes-based simulations. The simulations were performed using OpenFOAM software and the \(k-\omega \) (SST) shear stress transport model as the turbulence model. With a Reynolds number of 7500 and a fluid Prandtl number of 0.71, the study investigates the influence of plate motion on flow behavior across varying velocity ratios (VR = 0, 0.1, 0.5, and 1.0). Examination of velocity profiles reveals nearly self-similar patterns for VR = 0, 0.1, 0.5, and 1.0. Conversely, the velocity profiles exhibit similarity for all regions for no-slip VR = 1.0 and slip VR = 0. Predictions of the Nusselt number and flow characteristics within the viscous shear regime under moving plate conditions are studied. In conclusion, the motion of the plate notably shapes the flow field. First, the numerical solver is validated against reference experimental and numerical data. Parameters such as inner and outer-scaled stream-wise velocity, lateral velocity, temperature, and Nusselt number are compared to validate the solver.