A mathematical model is proposed for the numerical simulation of entrained flow coal gasification, based on an Eulerian-Eulerian description of the two-phase flow. In contrast to the commonly employed EulerianLagrangian procedures, which treat the gas phase by a Eulerian and the particulate phase by a Lagrangian frame of reference, the presently investigated approach applies a Eulerian description to both phases. In our implementation, the model is simplified assuming a mechanical and thermal equilibrium between the phases. This leads to a formulation, where the particulate phase appears, merely, as a species of a mixture, for which a single set of momentum and energy equations needs to be solved. For validation, the model is applied to a case, where experimental data and Eulerian-Lagrangian results of other authors exist. Comparisons with the experiments and the Eulerian-Lagrangian prediction of other authors show that the present Eulerian-Eulerian approach provides a comparable accuracy to the Eulerian-Lagrangian modelling and can similarly predict the trends under varying operating conditions. Since the proposed Eulerian-Eulerian formulation is additionally numerically more robust and exhibit better convergence properties compared to the conventional Eulerian-Lagrangian formulation, it can be considered as an interesting alternative in the numerical simulation of entrained flow coal gasifiers