Computational fluid dynamics (CFD) models can be used to optimize operational conditions for safe and stable operation of direct internal reforming solid oxide fuel cells (SOFCs), but require an appropriate description of the reforming kinetics on the anode. A CFD model, representing a single channel in a single cell test station is developed in this study. Data from previous methane steam reforming experiments on single cells is used to parameterize two kinetic models, one of the power law and one of the Langmuir-Hinshelwood type, using an ideal plug flow reactor model. Both rate equations are implemented in the CFD model and used to simulate the experimental conditions. Although the model shows good statistical agreement with the experimental data for both rate equations, different spatial distributions of reaction rates, species concentrations and temperature are predicted.