Abstract: For optimum design of an annular combustor, a mathematical model of the three-dimensional two-phase reacting flow is presented, which takes into account the effect of liquid fuel vapour and the mixing between two phase flows on combustion. The gas phase conservation equations of momentum, enthalpy and mixture fraction are solved with the k-s turbulence model and EBU -Arrhenius combustion model. Radiative heat transfer is handled by heat flux method. In order to model complex interactions between the gas-droplet flow, the PSI-CELL model is applied based on the concept that droplets are treated as sources of mass, momentum and energy to the gaseous phase. The Lagrangian approach is used to predict droplet trajectories, size and temperature history. The gas phase is calculated by solving finite-difference equations in the Eulerian frame of reference. The FDE'S are solved by the SIMPLE algorithm and CTDMA formulation. The results, including velocity profles, fuel fraction and temperature distributions, show that this analytical technique is useful for the optimum design of combustion chambers.

Key words: combustion, two phase flow, computational procedure, annular combustor