Abstract

A simple model is presented of the ceiling flow induced by fire centrally located at the floor between two long unobstructed ceiling beams of such depth that no fire gases are able to leak to adjacent beam channels. According to the model, the radial ceiling jet (a supercritical gravity flow) induced by the fire transforms to a subcritical gravity flow (by means of a density jump) due to interaction with the beams until, finally, critical gravity flow conditions are established when the flow of gases is channeled between the beams. Theoretical predictions of the flow properties (temperature, velocity) agree very well with existing experimental results. Analytic expressions for the gas temperature rise variation along the fire channel are also developed. The model can be applied to other practical situations of similar geometry, as, for example, the flow of warm effluent discharges in water.

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