Analysis of the interaction between cold liquid sprays, a flowing hot gas, and an ignited duct wall is presented. This situation simulates what could be the result of a fire spread in an underground ventilated wood lined corridor or a coal mine entry. Spread of an ignition front is defined as the rate of propagation of a specific ignition temperature along the solid wall. Radial wall conduction, heat and mass transfer associated with the liquid sprays, convection at the wall, and surface, luminous, and nonluminous radiative interchange are accounted for. The zone method of solution is chosen as it can accommodate real gas effects in the analysis, and the adaptability of this approach to include luminous flames proved to be successful. Wall friction is included through the use of a friction coefficient. The results presented show in the direction of flow the variation in the temperature of the duct, the gas, and the liquid droplets. Also presented is the quenching distance along the duct at which wall ignition ceases as a function of spray distribution, air flow rate, and other pertinent parameters. The results give qualitative and quantitative assessment of the parameters which control a fire spread identified by the model presented.

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