In this study, we proposed a dynamic heat transfer model for the thermal simulation of single-phase flow in heated pipes, which are widely used in industrial applications such as power plants, renewable energy systems, and other forced convection systems. At present, the proposed model achieves real-time calculations relied on lumped parameter models (LPM). While distributed parameter models (DPM) offered a better computational accuracy. Unlike traditional LPMs, which often oversimplify transient dynamics, our model incorporates a dynamic heat transfer equation with explicit variable representation, allowing for explicit time-marching calculations. Comparative analyses with DPMs and LPMs demonstrate that our model achieves higher accuracy than LPMs while maintaining computational efficiency suitable for real-time applications. This advancement addresses the limitations of existing methods, providing a cost-effective and precise solution for simulating heated pipe dynamics under transient conditions. Engineering applications could benefit from this study by incorporating the model as part of simulators for real-time optimization of thermal systems, such as single-phase heat transfer sections in power plant boilers and industrial systems. Future prospects include extending the model to account for segmented calculation factors such as water and superheated steam segments in two-phase flow, further improving its computational efficiency and applicability in complex industrial scenarios through moving boundary modeling.