Design optimization of functionally graded pipe

The present study numerically investigates the steady-state conduction behavior in a functionally graded material (FGM) pipe subjected to progressive boundary cooling and heating. The intelligent manufacturing methods such as additive manufacturing, digital manufacturing and automated methods are used to design the functionally graded materials. The axial direction of the pipe is considered as the grading direction, and the thermal properties of the FGM are prescribed using linear, quadratic, and cubic variation laws. The simulations are carried out using ANSYS, where the thermal conductivity modification is implemented through a functional grading model. The results reveal that the thermal conductivity ratio has a pronounced effect on the temperature field, and the terminal temperature in the functionally graded section varies non-linearly with respect to the conductivity ratio. The influence of the material grading becomes more significant along the length of the pipe, with the outer surface experiencing the maximum variation. These findings demonstrate that the thermal response of the FGM is highly sensitive to the selected mathematical variation even when the grading index is held constant, which is an important aspect for thermal system design. In particular, linear grading enhances heat-transfer performance by up to 100%, whereas quadratic and cubic profiles offer up to 50% improvement in heat-retention capability, depending on the design objective and required thermal operating conditions.