A hybrid RANS/LES model based on the BSL k-omega RANS model, termed the production-limited delayed detached eddy simulation (PL-DDES) model, was developed for simulating turbulent flow and heat transfer. The PL-DDES model was obtained by limiting the production of turbulence kinetic energy with the proposed control resolution function. The PL-DDES model was tested by simulating turbulent flow and heat transfer in a plane and a wavy channel with different thermal boundary conditions and different Reynolds numbers in this paper. The results of the plane channel flow show that the performance of the PL-DDES model is better than that of the improved delayed detached eddy simulation (IDDES) model for alleviating the log-law layer mismatch (LLM) issue. With a much coarser grid resolution, although the resolved turbulent scales decrease, the time-averaged velocity and temperature are successfully predicted. The capability of predicting turbulent flow and heat transfer over a wavy wall manifests, and the PL-DDES model has considerable potential in industrial and environmental applications.