Numerical simulations of premixed methane/air combustion in a submillimetre narrow channel between two parallel heatedplates are performed. The problem is modelled by solving the two-dimensional, transient, full Navier-Stokes equations with thedetailed reaction mechanism (DRM-19) in our in-house code (Eilmer). The effects of the inflow velocity on the flame propagationcharacteristics are investigated. For a range of inlet velocities tested, flame dynamics such as flames with repetitive extinction andignition (FREI), chaotically oscillating flames, symmetric stable flames, slightly and periodically wobbling flames, and asymmetricstable flames are observed.