A mathematical model is presented to describe heat transfer in a metallic monolith comprising channels of sinusoidal cross-section. Model equations were solved numerically and when the results were compared with literature experimental data for the Fecralloy(R) monolith, fairly good agreement was found. Radial temperature profiles were calculated using the model for constant wall temperature and a flat temperature profile at the inlet of the monolith. Effective thermal conductivities and wall heat transfer coefficients for the monolith were evaluated based on these profiles. The coefficients were compared with those for packed beds of electrocorundum pellets. Effective thermal conductivities for the monolith were found to be lower than those for packed beds, while wall heat transfer coefficients are much higher than those for packed beds. Overall heat transfer coefficients are greater for a monolith.