Abstract: A two-dimensional transient finite difference technique has developed to predict recirculation zones behind bluff body f lameholder in a cylindrical combustor. For turbulent flow simulation,the two-equation k-e turbulent model has been comprised in a simple computer program. The governing equations consist of continuityequation,momentum equation, turbulent kinetic energy equation and turbulentkinetic energy dissipation rate equation. The calculations show that the dimensionlesslength L/d of recirculation zones and the maximum mass flow rate Mr/Mo increase with the flameholder cone angle a. The results are infair agreement with experimental data. Therefore,the transient time-marching method employedin this paper is quite simple and reasonable.