A theoretical model was developed that describes fire spread in the axial direction along the surface of a cylindrical coal-lined duct. The model includes the thermal transport mechanisms of radiation, forced convection, and radial conduction into the solid surface. Flame spread along the solid surface is defined as the rate of the propagation of a specified ignition temperature along the solid surface. It is determined that for the system parameters considered radiation is the primary mechanism responsible for establishing the terminal rate of flame spread although convective transport enhances the process. The calculated flame spread rates are supported by experimental observations in duct fires.
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