This investigation considers the development and evaluation of a simplified model of spraY combustion, based on the locally homogeneous flow (LHF) approximation for two-phase flows. The LHF approximation implies that interphase transport rates are infinitely fast, so that both phases have the same velocity and are in thermodynamic equilibrium at each point in the flow. When a LHF model is used, the two-phase nature of the flow is only represented by the mixture equation of state in the computations. The advantages of LHF models for sprays are that existing computer codes for gaseous combustion processes can be employed with little modification; extensive information of model constants to be specified is limited, in comparison to models which consider finite interphase transport rates.