Abstract: Athree-dimensional turbulent combustion flow field of longitudinal heat shield afterburner was numerically investigated in a body-fitted coordinate system.The k-ε model,EBU-Arrhenius and Second-moment turbulent combustion model,as well as six flux model were used.The influences of two different afterburners,inlet gas parameter distributions and turbulent combustion models on afterburner flow fields and wall temperature profiles were calculated.By comparing the experiment results with the calculated results,it shows that:the effect of different geometric afterburners on turbulent combustion flows was more than inlet gas parameter distributions,and Second-moment combustion model was more suitable for simulating the turbulent reacting flow.