Considering the complexity of the radial forging process, the study of dynamic and thermodynamic parameters is of great importance. With the severe deformation of a workpiece in a plastic state, the effects of all parameters affecting the final geometry of the forging pipe need to be optimized. Thus, the mathematical model of the process is based on visco-plastic material, taking into account thermomechanical coupling and the surface properties during forging, including the hardness of the workpiece and friction. The results present the effects of a die angle on residual stress, total wear, and contact force, leading to ideal operating conditions and the ideal design of machine parts. In order to ensure the accuracy of the calculations and predictions made through software, a hardness test was performed experimentally, which showed the hardness curve of the microstructure and the strain of the workpiece. This indicates the consistency and accuracy of the results obtained from both methods. In order to improve the process and the tube employed, using an optimized die is recommended.