Abstract
This note draws attention to a result of conduction theory which appears to be little known but is relevant to the development of approximate integral models of flame spread. A semi-infinite plane, emitting a flux of heat q per unit area whilst travelling at velocity U parallel to the surface of a sink to which the heat source is perpendicular, transfers heat to the sink at a rate (2/π) q k/U per unit width where k is the thermal diffusivity of the medium. This result is compared to the result of a more complex flame spread theory.

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