Abstract: A comprehensive mathematical model for simulating the reacting flow and heat transfer process in a reheating furnace was developed. The model includes the k-ε two-equation model for turbulenct flow, the six-flux model for radiative heat transfer and the EBU turbulent gaseous combustion model for gaseous reaction. The governing equations are solved by the SIMPLER algorithm. Detailed and reasonable results of the distributions of velocity, temperature and concentration were obtained.