Reference solutions for the turbulent forced convection of air around heated square cylinders at high Reynolds numbers (Re≥10^4) are setup from a bibliographical synthesis of about twenty experiments. These reference solutions concern the flow dynamics and heat transfer. We particularly focus on the local Nusselt number around the obstacle. These solutions are used to identify the URANS models that are the most adequate to reproduce the flow physics and heat transfer in this configuration. Different versions of the k-ε and k-ω models are tested. It is shown that the k-ω SST model is the most accurate to evaluate the flow dynamics and the heat transfer: its accuracy is equivalent to that obtained by 3D LES and high performance computing.